Using the P-Value
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Using the P-ValueSection 10.3
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P-Value (Observed Significance Level)
It’s the measure of the inconsistency between the hypothesized value for a population parameter and the observed sample statistic.
How likely is this sample if the Ho is really true?
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Using the P-Value Reject if
Fail to Reject if
p value
p value oH
oH
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One tailed test (use the test statistic Z)
P-value
If the Ho is really true, this is the probability of getting this z-score for the given data
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Two-Tailed Test P-Value: Sum of both tails
( 1.0607) ( , 1,0607) 0.1444P z ncdf
We have to double this to get both tails!
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Let’s try one!
: 0.5
: 0.5o
A
H p
H p
1.75z
0.05
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Let’s try one!
: 0.5
: 0.5o
A
H p
H p
2.02z
0.01
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For which of the following P-Values would the null hypothesis be rejected if we’re using a 0.05 significance level?
0.003
0.045
0.084
0.128
3.12 x 10-5
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State whether the observed p-value leads to rejection of the null at the given significance level.
0.079
0.10
p Value
0.056
0.05
p Value
0.028
0.01
p Value
0.21
0.10
p Value
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Find the p-Value associated with each of the given test statistics (z-scores)
: .6
: .6o
A
H p
H p
0.86z 2.31z
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Find the p-Value associated with each of the given test statistics (z-scores)
: .6
: .6o
A
H p
H p
2.21z 0.97z
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Homework Page 546 (2-10) even (11-17, 20, 22, 31)