Test the claim that the mean GPA of night students is larger than 2.5 at the 0.005 significance level. The null and alternative hypothesis would be: H0:p=0.625H0:p=0.625 H1:p≠0.625H1:p≠0.625...


Test the claim that the mean GPA of night students is larger than 2.5 at the 0.005 significance level.


The null and alternative hypothesis would be:




H0:p=0.625H0:p=0.625
H1:p≠0.625H1:p≠0.625

H0:μ=2.5H0:μ=2.5
H1:μ≠2.5H1:μ≠2.5

H0:p≤0.625H0:p≤0.625
H1:p>0.625H1:p>0.625

H0:μ≤2.5H0:μ≤2.5
H1:μ>2.5H1:μ>2.5

H0:p≥0.625H0:p≥0.625
H1:p<><>

H0:μ≥2.5H0:μ≥2.5
H1:μ<><>






The test is:




right-tailed

two-tailed

left-tailed






Based on a sample of 75 people, the sample mean GPA was 2.51 with a standard deviation of 0.05


The test statistic is:  (to 2 decimals)


The p-value is:  (to 2 decimals)


Based on this we:




  • Reject the null hypothesis

  • Fail to reject the null hypothesis




Jun 05, 2022
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