Test the claim that the mean GPA of night students is smaller than 3.2 at the 0.05 significance level. The null and alternative hypothesis would be:   H0:p≥0.8H0:p≥0.8 H1:p<0.8H1:p<0.8 H0:μ≥3.2H0:μ≥3.2 H1:μ<3.2H1:μ<3.2 H0:μ≤3.2H0:μ≤3.2 H1:μ>3.2H1:μ>3.2 H0:p=0.8H0:p=0.8 H1:p≠0.8H1:p≠0.8 H0:p≤0.8H0:p≤0.8 H1:p>0.8H1:p>0.8 H0:μ=3.2H0:μ=3.2 H1:μ≠3.2H1:μ≠3.2 Based on a sample of 55 people, the sample mean GPA was 3.16 with a standard deviation of 0.06 The p-value is:

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 6CR
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Test the claim that the mean GPA of night students is smaller than 3.2 at the 0.05 significance level.

The null and alternative hypothesis would be:

 

H0:p≥0.8H0:p≥0.8
H1:p<0.8H1:p<0.8
H0:μ≥3.2H0:μ≥3.2
H1:μ<3.2H1:μ<3.2
H0:μ≤3.2H0:μ≤3.2
H1:μ>3.2H1:μ>3.2
H0:p=0.8H0:p=0.8
H1:p≠0.8H1:p≠0.8
H0:p≤0.8H0:p≤0.8
H1:p>0.8H1:p>0.8
H0:μ=3.2H0:μ=3.2
H1:μ≠3.2H1:μ≠3.2
Based on a sample of 55 people, the sample mean GPA was 3.16 with a standard deviation of 0.06

The p-value is:
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