STA 1 Project Report_Tut3 BA12_Ms.Ngoc Lan.docx
-
Upload
conan-doyle -
Category
Documents
-
view
214 -
download
0
Transcript of STA 1 Project Report_Tut3 BA12_Ms.Ngoc Lan.docx
Faculty of Management and Tourism------o0o-----
Probabilities and statistics project
FMT students’ satisfaction of Hanoi University sport facilities
16-May-14
Lecturer: Ms. Tran Kim Anh
Tutor: Ms. Trinh Thi Ngoc Lan
Tutorial class: Tut 3BA-12
Tutorial time: 7.15 Tuesday
Group members: Nguyễn Bích Ngọc 1104000079
Nguyễn Thị Nhàn 1104000085
Tạ Tương Phước 1104000092
Trần Thị Hương Quỳnh 1104000098
Trịnh Đức Sơn 1104000101
Nguyễn Thị Diệu Thúy 1104000110
Phạm Thị Tuyết 1104000123
Nguyễn Thành Viên 1104000126
ACKNOWLEDGEMENT
We would like to send our special thanks to Ms. Kim Anh and Ms. Ngoc Lan- our
Statistics teachers for their helpful guidelines during the time we conducted this project due to
great support and help. In addition, we are thankful to FMT students, who contributed their time
to complete our questionnaire and gave many helpful comments to our survey. However,
because this is the very first time we have ever carried out a Statistics project, we cannot avoid
mistakes and irrelevance. Therefore, we hope to receive more comments, feedbacks and
suggestions so that we can improve our skills and get some experiences for future projects.
Abstract
This study is designed to determine how FMT students feel about the
sport facilities in Hanoi University. To conduct this survey, from the
population of all students in FMT, we chose the sample of 100
randomly. Our questionnaire consists of six Multiple-Choice Questions.
The data collected is used to perform one sample z-test for proportion
on infer that at 5% level of significance, at least 60% of FMT students
will be satisfied playing sport at Hanoi University stadium. There are
also many other results and information to make this issue clearer for
the readers.
Table of Contents
ACKNOWLEDGEMENT...........................................................................................................i
Abstract.......................................................................................................................................ii
I. Introduction.........................................................................................................................1
II. Methodology........................................................................................................................1
1. Population and Sample....................................................................................................1
2. Questionnaire Design.......................................................................................................1
3. Sample size......................................................................................................................2
4. Sampling method and data collection..............................................................................2
5. Data processing................................................................................................................3
6. Significance level of test..................................................................................................3
III. Descriptive of results and findings..................................................................................3
IV. Results and findings of the hypothesis test......................................................................7
1. Research question............................................................................................................7
2. Data analysis....................................................................................................................7
V. Evaluation............................................................................................................................8
1. Limitation.........................................................................................................................8
2. Implication.......................................................................................................................9
VI. Conclusion and recommendations...................................................................................9
Appendix 1: Survey for Probability and Statistics Project........................................................iv
Appendix 2: Survey result..........................................................................................................v
I. Introduction
Playing sports is always an important thing for everyone in general as well as FMT students in
particular. A comfortable place to play sports not only helps people feel interested in exercises
but also enhances the effect of the sports on health. Due to a very tight timetable and the
enormous pressure of the specialized subjects, playing sports is essential for FMT students.
Therefore, Hanoi University has built facilities to help the students play sports, even beyond the
physical education curriculum. Nowadays, there are a large number of students playing sports at
university stadium regularly. That represents the satisfaction of many students for Hanoi
University sports facilities. However, public sports venues are growing and growing, which have
attracted many students to participate because of the quality and abundance of facilities.
This research was conducted to investigate about the satisfaction levels of students about Hanoi
University’s sports material foundations. This report will be divided into six parts. Firstly, we
present about the method used in order to approach and illustrate the survey’s results. Secondly,
we apply these methods to make conclusion whether the initial assumption is true or not. Finally,
recommendation is final part which supports for our studies.
II. Methodology
1. Population and Sample
Population: 1000 students of Faculty of Management and Tourism (FMT), Hanoi
University.
Sample: 100 students from the population, which presents characteristics of the
population.
2. Questionnaire Design
The research focuses on the favorite of FMT’s students about sports facilities at Hanoi
University. Because of short timing, we build the questionnaire which includes five relevant
questions but we make sure that this provides meaningful information closely relating to the
given factor to help us obtain data for our research project. We attach the questionnaire in
appendix 1
In the questionnaire, the first question was designed to know what sport students like
playing most. The second question is aimed that we want to know how much time FMT’s
students spend per day playing sports. Afterwards, we can have information about where
students play (home, university or other places) by building the third question. The most
important question is listed as a key to evaluate the level of satisfaction of students about the
sport facilities with four criteria and each has five levels for students to score briefly. Finally,
after having the specific judgments about the sport facilities, the fifth question is to collect the
opinion of FMT students about their overall feelings about sport facilities.
3. Sample size
The total population is 1000 FMT students, thus we should have a sample size of several
tens taken into account. We expect the sample estimates to be reasonably accurate, then we base
on some test statistics and its assumptions. We intend to use Z-test for population with
assumption of proportion and we decide that the sample size of 100 is considered to be suitable
and large enough to ensure the reliability of the test for the population.
4. Sampling method and data collection
We decide to use simple random sampling method (without replacement) to gain a relatively
accurate result for the survey. Our population is all students of FMT department and we only chose
randomly 100 of that to survey.
We distributed questionnaire for 100 students who are in the list of sample. We list 100
students who completed the survey and assign each student a number ranging from 1 to 100. To complete
the list, we use Excel with the following commands:
o Select B1, fill 1
o Choose tab HomeàEditàFillàSeries
o Fill in the Series box as guided in Picture1
After collecting the questionnaire, we record the data in Excel and use the
information to draw charts, tables.
5. Data processing
Microsoft Excel is the most often used tool to calculate necessary statistics
(standard deviation, mean, median, and mode …)
6. Significance level of test
As the project requires the relative accuracy, we believe that the level of
significance of test α = 0.05 is most suitable.
III. Descriptive of results and findings
1. Question 1
Football
Badminton, V
olleyb
all, T
able
Tennis
Walk
ing, Running
Aerobics
Others0
10203040
Sport choices
The bar chart shows FMT student’s choices about sport. The most popular choice is
group “Badminton, Volleyball, Table tennis”, which 36 students choose to play. The second
position belongs to group “Walking, Running” that has 3 less students playing. Eighteen
(including 13 men) and 12 (female) students took “Football” and “Aerobics” options
respectively, which are reasonable results. Finally, just 11 students decide to play other kinds of
sport.
2. Question 2
How much time FMT students spend play-ing sport per day
Less than 1 hour1-2 hoursMore than 2 hours
The collected results of the question about how much time FMT students take to play
sport in a day is presented at pie chart above. The largest figure is 62% of students spending
less than 1 hour per day playing sport. In contrast, only 5% told that their average time for sport
per day is greater than 2 hours. Besides, “1-2 hours” choice that is good for health in scientific
point accounted for 33%. It can be seen clearly that the majority of students should spend more
time for sport every day.
3. Question 3
38%
31%
31%
The main destinations that FMT's student choose to play sports
At homeAt Hanoi UniversityOthers places
To find the fact that whether FMT students actually use the sport facilities at university
frequently or not, we had the research question and the answers of students are showed as the
chart above. The pie chart represents information on the places that FMT’s students usually play
sports: at home, at Hanoi University and other places. As can be seen from the chart, the
proportion of people spending time for sport activities at Hanoi University and other options are
quite the same. There are 31% of students who are used to play at Hanoi University and home.
While 38 % of people asked said that they usually come to other places such as: parks, public
stadium and places for rent to do exercises and play sports. It was the largest sector.
4. Question 4
Stadium Volleyball court Table tennis room Exercise room0
102030405060708090
100
The percentage of FMT student's satisfaction degree about 4 current facilities in Hanoi Univer-
sity
very badbadnormalgoodvery good
The result of question 4 in the bar chart demonstrates the level of satisfaction belonging
to each separate facilities at Hanoi University, it includes stadium (having running race),
volleyball court, table tennis room and exercise room. There are five levels of satisfaction from 1
to 5 correspond to very bad, bad , normal, good and very good estimation respectively.
Regarding to the stadium condition, the majority of student taking part in this survey
(60%) are satisfied with university stadium. In fact, 31% of FMT’s students gave the mark of 4
while 29% of them felt very satisfied and mark 5. In contrast, 6% shared that the current stadium
is quite bad; it does not meet the demand of their need, so they marked 2. Similarly, 10% of
people having the strong dissatisfaction ticked at only 1.The students who do not satisfy account
for 10%.
About the volleyball court, nearly a half of students expressed that Hanoi University
courts are normal in comparison with other colleges (46%). Over one fourths of them are
interested in volleyball court and marked it 4. Only 3% of the students feel really satisfied and
gave the highest mark. Nevertheless, the percentage of dissatisfaction student giving 1 and 2 are
approximately the same, 10% and 12% respectively.
Table tennis and exercise room are not as popular as the first two sport facilities. The
highest proportion of survey participants appraising for this two facilities are in 3 blanks, exactly
the same stood at 39%.However, the volume of satisfaction of them is quite difference. When
being asked about table tennis room, the percentage of people feeling satisfied is nearly smaller
than dissatisfaction but the difference is only 4%.That means there are 22% of FMT students
giving 2 as bad and 10% of students tick 1 as very bad, while also 22% are quite enjoyable to
mark 4 and 6% really are enjoyable with table tennis room. For exercise room, the number of
students who do not feel pleasurable is nearly three times as many as the number of student
feeling pleasurable.
IV. Results and findings of the hypothesis test
1. Research question
The objective of our project is to answer the question that whether there is enough evidence
at the 5% significance level to indicate that the proportion of FMT students satisfied with the
sport facilities at Hanoi University is at least 60%.
Assumption
The population is followed the binomial distribution because:
The experiment consists of 100 identical trials
Each trial has two outcome: success( satisfied with sport facilities) or
failure(not satisfied with sport facilities)
The probability p of a success remain constant for each trial
Each trial of the experiment is independent
The sample proportion is approximately normally distributed
because the sample size is large enough:
np=100∗0.6=60>5 n(1−p)=100(1−0.6)=40>5
We decided to use Z test of proportion.2. Data analysis
In this case, there are two categories: satisfied or not satisfied with sport facilities at Hanoi
University. Based on the result of survey, 72 out of 100 FMT students are pleased with the Hanoi
University sport facilities.
Sample size: 100 Level of significant α=0.05 Hypothesized population proportion: p=60 %
Hypothesis testing procedure:
The step statistical inference process is as follow:
Step 1: Select the null and the alternative hypothesisH0: p=0.6HA: p>0.6
Step 2: Z test for proportion: z= p̂−p
√ p (1−p )n
Step 3: Level of significant α=0.05⟹z0.05 =1.645
Step 4: Decision rule: reject H0 if z>z0
Step 5: Calculate the value of the test statistic
Number of successes: x=72
Sample proportion: p̂= xn= 72
100
z=p̂−p
√ p (1−p )n
=
72100
−0.6
√ 0.6∗0.4100
=2.449
Step 6: Conclusion:Since z = 2.449 >z0.05 ⟹ reject H0 at α=0.05
Conclusion: there is enough statistical evidence to infer that at significant level of 0.05, at least 60% FMT students feel satisfied with the sport facilities at Hanoi University.
V. Evaluation
1. Limitation
We have conducted objective project based on the collection of results of questionnaires
distribution, there are still some problems occurred. For example, because of the scare about
private information, some students skipped giving their information such as full name, ID, major
or class and email address. It will be harder for us to have an accurate result.
It is hard for us to meet all students of FMT because of a large number of students with
different schedules or their absences sometimes. We collected the result randomly from 100
FMT students, so the errors or differences between statistic and parameter are still exists. We
cannot ensure that all students from FMT have the same idea with 100 randomly students.
Therefore, we use available information to estimate possible outcomes of population and draw
conclusion. Besides, timing is short so that we only chose 100 students as the sample size. That
means the sample size is quite small compared to population of 1000, hence, the hypothesis test
less accurate.
2. Implication
In spite of some limitations indicated above, it is undeniable that this study is a useful
reference for Physical Education Department to have a sight of their students’ satisfaction with
their facilities and subject. As a result, Physical Education Department can base on the
evaluation of FMT student to identify whether the facilities should be improved or not.
Moreover, from the hobby of FMT students, they can serve the subject that these students like,
hence, FMT students will study more effectively and reduce retake and restudy rate.
VI. Conclusion and Recommendation
According to the results of our project, we now have enough evidences to conclude that at
least 60% FMT students are satisfied with the sport (exercise) facilities at Hanoi University. We
used the questionnaire including 5 questions to interview randomly 100 FMT students. Although
the satisfaction degree of almost students is at a high level, just about 31% out of the total
students often play sports at school, which means that the school facilities are not the best choice
for them. Based on the statistics collected from our survey, it can be seen clearly that when
students spend time playing sports at school, most of them will choose the stadium as a good
place to play sports. We agree that the stadium area is quite large and favorable for sport
activities. Students do not need to spend money to rent another place to play sports; they can
come to the stadium because it's absolutely free. Students can play lots of different sports here,
so it can be said to satisfy people’s demands.
Basing on the collected result, our group proposes several recommendations to improve the
current situation and raise the number of students who are satisfied with school facilities. At first,
Hanoi University should focus on improving the quality of the stadium to serve many different
types of sport such as soccer, volleyball, basketball, jogging and so on. For example, many male
students want to play football at the stadium, however the quality of the football field surface
does not meet their needs. Specifically, grass grows a lot in football field surface, which leads to
many troubles in the football matches. To solve this problem, the school should plan to improve
the stadium surface quality, such as regular mowing grass or cleaning up the pitch.
Besides that, there is still a fairly complex problem and we think that it is the main cause of
student dissatisfaction with school facilities, namely the impact of the external. As you know,
Hanu students spend quite much time after class to play sports in the stadium. However, the
problem is that there are so many people coming from other places to play sports here, which
cause our students, do not have enough space. Therefore, we suggest that the security officers
should prevent people outside from playing sports at the stadium area.
In additions, the school should also improve and upgrade sport equipment and exercise
rooms so students will have more options and interest to exercise at school. For further research,
we recommend a wider scope with the larger number of students, which could provide different
results as each respondent with his or her own ability may have various attitudes and feelings to
this mentioned issue and different ways to cope with any difficulty caused by new specialized
majors at first stages. In addition, we are not experts in this field; limitation during the project is
inevitable; so, we are hopeful that our future project will be consulted by some experienced
people to make the result more persuasive.
Appendix 1: Survey for Probability and Statistics ProjectQUESTIONNAIRE
FMT student’s satisfaction of sport facilities
At Hanoi University
We are Nguyen Bich Ngoc, Nguyen Thi Nhan, Ta Tuong Phuoc, Tran Thi Huong Quynh, Trinh
Duc Son, Nguyen Thi Dieu Thuy, Pham Thi Tuyet and Nguyen Thanh Vien from Tut 3BA12, Hanoi
University. We are doing a research project about student’s satisfaction of Hanoi University facilities.
This useful questionnaire will help us collect data for our project. We highly appreciate your opinions
which are apparently crucial to the completion as well as the quality of our project.
Thank you for your cooperation!
Personal information:
Your full name:.............................................................................................................................................
Your student ID:............................................................Class: ....................................................................
Your email:...................................................................................................................................................
Question:
1. What sports do you like playing most?
A. Football
B. Badminton, Volleyball, Table tennis.
C. Walking, Running
D. Aerobics.
E. Others.
2. How much time do you often spend playing sports per day?
A. Less than 1 hour
B. 1-2 hours
C. More than 2 hours
3. Where do you often play sports?
A. At home
B. At Hanoi University
C. Other places
4. What level of satisfaction do you score for the following facilities at Hanoi University campus?
Rank
Facilities
1 2 3 4 5
Stadium
Volleyball courts
Table tennis room
Exercise room
5. In general, are you satisfied with sport (exercise) facilities at Hanoi University?
A. Yes
B. No
Appendix 2: Survey result
Question 1 Question 2 Question 3 Question 4 Question 5
No Full Name ID A B C D E A B C A B C A B C D
1 Trần Hồng Vui 1004000100 * * * 4 3 5 3 Yes
2 Đào Quỳnh Nga 1207060091 *
* * 5 5 4 2 Yes
3 Phạm Thị Hồng Pương 1206090063 * * * 5 4 4 5 Yes
4 Phạm Thị Hồng Ngọc 1206090053 * * * 3 3 2 2 No
5 Đặng Quốc Việt 1206090089 * * * 2 1 2 1 Yes
6 Nguyễn Tiến Thắng 1206090068 * * * 4 3 4 5 No
7 Lê Hoài Thu 1206090077 * * * 5 3 2 2 Yes
8 Ngô Thị Hải Yến 1204010122 * * * 1 4 5 2 No
9 Tô Phan Long 1206090042 * * * 2 3 3 2 Yes
10 Mai Thị Trà My 1104000075 *
* * 5 4 4 4 No
11 Nguyễn Thị Thanh Hiền 1104000037 * * * 3 3 2 2 Yes
12 Phạm Thị Liên 1206090032 * * * 2 1 4 3 No
13 Vũ Thuỳ Linh 1106090042 * * * 4 4 3 3 Yes
14 Đào Duy Hùng 1204000040 * * * 4 3 3 2 No
15 Trần Tuấn Minh 1204000063 * * * 4 4 3 1 Yes
16 Đoàn Linh Phương 1204000075 * * * 2 2 2 3 No
17 Hà Thị Kiều Ngân 1104000077 * * * 5 3 2 2 Yes
18 Ngô Thị Thanh Trà 1104000112 * * * 1 1 3 4 No
19 Nguyễn Thị Hoa 1104000040 * * * 4 4 3 3 Yes
20 Nguyễn Thị Hải Hạnh 1206090013 * * * 4 2 4 3 Yes
21 Đinh Thị Phương Thảo 1206090070 * * * 5 2 2 2 No
22 Vương Hồng Vân 1206090088 * * * 4 3 4 3 Yes
23 Đặng Mỹ Nga 1206090047 * * * 1 1 1 2 Yes
24 Nguyễn Thị Nga 1206090049 * * * 5 5 3 2 Yes
25 Nguyễn Hữu Triệu Phong 1204000072 * * * 5 3 1 2 Yes
26 Hoàng Thị Hằng 1206090017 * * * 4 4 3 2 Yes
27 Trần Thị Thuỳ Dung 1206090008 * * * 4 3 3 2 Yes
28 Nguyễn Thị Bích Liên 1104000060 * * * 4 3 4 3 Yes
29 Dương Thu Hằng 1204000039 * * * 3 2 2 3 Yes
30 Kiều Hương Ly 1104040062 *
* * 4 4 4 4 No
31 Nguyễn Khắc Phúc 1204000073 * * * 5 4 4 1 Yes
32 Nguyễn Thu Trang 1007090072 * * * * 5 4 3 3 Yes
33 Nguyễn Quang Bắc 1204000016 * * * 5 4 3 3 Yes
34 Nguyễn Hữu Đạt 1204000022 * * * 3 3 3 3 Yes
35Nguyễn Thị Phương Thảo 1204040084 * * * 5 4 4 4 Yes
36 Lê Thanh Bình 1204000017 * * * 5 3 2 1 Yes
37 Nguyễn Thị Yến 1204000113 * * * 3 3 3 3 Yes
38 Trần Thị Hoàng Anh 1204000013 * * * 3 3 3 3 Yes
39 Vũ Thuỳ Linh 1204000059 * * * 3 3 3 3 Yes
40 Nguyễn Ngọc Linh 1204000056 * * * 5 4 2 3 Yes
41 Đào Ngọc Nguyên 1204000066 * * * 3 3 3 3 Yes
42 Lê Thu Huyền 1006090029 *
* * 5 4 2 1 Yes
43 Trương Thu Hà 1006090016 * * * 3 2 2 2 No
44 Hoàng Thu Hương 1204000043 * * * 4 2 5 2 No
45 Đặng Thị Quỳnh 1106090059 * * * 4 3 3 3 Yes
46 Lê Thị Thành 1204000086 * * * 4 3 4 2 Yes
47 Phạm Thị Huyền 1204000046 * * * 4 1 1 1 Yes
48 Phạm Thu Hiền 1204010032 *
* * 4 3 3 3 No
49 Trần Thị Minh Nhự 1106090054 * * * 4 4 3 2 Yes
50 Đỗ Thị Kiều Trang 1106090077 * * * 1 3 3 5 Yes
51 Vũ Anh Trang 1206090087 * * * 3 3 3 2 Yes
52 Đặng Thị Mai Hoa 1106090024 * *
* * * 4 4 1 3 No
53 Thân Thị Hạnh 1204000034 * * 3 4 2 2 No
54 Phạm Thị Hà Anh 1204040007 * * * 5 3 2 2 No
55 Hà Nam Ninh 1204000071 *
* * 4 4 4 3 Yes
56 Trần Thị Vân 1204000109 * * * * 3 3 4 3 No
57 Vũ Văn Cương 1004000010 * * * 3 4 Yes
58 Lê Thị Linh 1104000061 * * * 4 3 2 3 Yes
59 Ngô Thị Loan 1104000069 * * * 4 3 3 3 Yes
60 Nguyễn Quang Huy 1104000048 *
* * 4 4 3 3 No
61 Nguyễn Thu Hương 1104040038 * * * * 5 3 3 3 Yes
62 Nghiêm Thị Thuỳ 1204040091 * * * 3 3 3 3 Yes
63 Nguyễn Thị Trang 1104040100 * * * 1 3 1 1 No
64 Nguyễn Ngọc Anh 1204040004 *
* * * 3 1 1 1 No
65 Đồng Thị Út 1204040102 * * * 5 3 4 2 Yes
66 Đỗ Thị Kim Liên 1204040050 * * * 1 1 3 4 Yes
67 Lưu Hà Phương 1204040077 * * * 3 3 3 2 Yes
68 Nguyễn Thị Hảo 1104010084 * * * 3 2 2 2 No
69 Lê Hồng Hảo 1004000020 * * * 3 3 2 2 No
70 Đào Ngọc Sơn 1104000099 *
* * 4 3 3 4 Yes
71 Nguyễn Thị Thương 1104000107 * * * * 4 3 3 2 No
72 Phạm Thị Chung 1204000019 * * * 2 1 3 3 Yes
73 Lữ Thị Hồng Nhung 1104000087 * * * 4 3 4 3 No
74 Văn Thị Thu Trang 1104000119 * * * * 4 3 3 3 Yes
75 Phạm Thị Tuyết 1104000123 * * * 5 4 5 3 Yes
76 Nguyễn Thị Hương 100400030 * * * 3 3 2 2 No
77 Phan Thị Bích Ngọc 1104040068 * * * 2 1 1 1 Yes
78 Hoàng Mạnh Thái 1204040081 * * * * * 2 1 1 5 No
79 Tạ Tương Phước 1104000092 * * * * 4 4 5 4 Yes
80 Trần Minh Ngọc 1204040070 * * * 3 3 4 3 Yes
81 Nguyễn Thanh Trà 1104000113 * * * 4 3 3 2 Yes
82 Lê Thị Nhàn 1104010066 * * * 1 3 3 3 Yes
83 Trần Thị Hường 1104010037 * * * * 1 3 4 3 Yes
84 Đặng Thị Mai 1104010051 * * * 3 3 1 1 Yes
85 Hoàng Phương Duyên 1104040019 * * * 5 4 3 2 Yes
86 Lê Thị Hoài 1104010029 *
* * 5 4 3 3 Yes
87 Đinh Quang Hoà 1101040077 * * * 5 4 3 3 Yes
88 Nguyễn Việt Tú 1104010105 * * * 5 5 4 4 Yes
89 Trần Lê Anh Thái 1104040085 * * * 1 2 2 4 No
90 Hoàng Tố Uyên 1104000124 * * * * 3 2 2 2 Yes
91 Nguyễn Bích Ngọc 1104000079 * * * * 3 2 2 1 No
92 Vương Kim Yến 1004000103 * * * 5 2 2 1 Yes
93 Lê Minh Thuý 1104040093 * * * * 4 3 4 3 Yes
94 Nguyễn Ngọc Minh 1004040065 * * * 3 3 3 2 Yes
95 Trịnh Đức Sơn 1104000101 * * * 5 4 5 4 Yes
96 Hoàng Đức Thành 1104000103 * * * 4 4 3 1 Yes
*
97 Nguyễn Mai Phương 1104000094 * * * 5 2 1 3 Yes
98 Đinh Thi Minh Huyền 1204040042 * * * 5 4 4 4 Yes
99 Hoàng Tây Phương 1104000093 * * * 1 4 4 4 Yes
100 Tạ Thị Ánh 1104000013 * * * 5 3 3 3 Yes