Test the claim that the mean GPA of night students is larger than 2.9 at the 0.005 significance level. The null and alternative hypothesis would be: H0:p≤0.725H0:p≤0.725 H1:p>0.725H1:p>0.725...


Test the claim that the mean GPA of night students is larger than 2.9 at the 0.005 significance level.


The null and alternative hypothesis would be:




H0:p≤0.725H0:p≤0.725
H1:p>0.725H1:p>0.725

H0:μ≥2.9H0:μ≥2.9
H1:μ<><>

H0:μ=2.9H0:μ=2.9
H1:μ≠2.9H1:μ≠2.9

H0:μ≤2.9H0:μ≤2.9
H1:μ>2.9H1:μ>2.9

H0:p=0.725H0:p=0.725
H1:p≠0.725H1:p≠0.725

H0:p≥0.725H0:p≥0.725
H1:p<><>






The test is:




two-tailed

left-tailed

right-tailed






Based on a sample of 40 people, the sample mean GPA was 2.93 with a standard deviation of 0.08


The p-value is:  (to 2 decimals)


Based on this we:




  • Reject the null hypothesis

  • Fail to reject the null hypothesis




Jun 07, 2022
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