Question

Test the claim that the mean GPA of night students is significantly different than 2.8 at the 0.02 significance level. The null and alternative hypothesis would be: H 0 : p ≤ 0.7 H0:p≤0.7 H 1 : p > 0.7 H1:p>0.7 H 0 : p ≥ 0.7 H0:p≥0.7 H 1 : p < 0.7 H1:p<0.7 H 0 : p = 0.7 H0:p=0.7 H 1 : p ≠ 0.7 H1:p≠0.7 H 0 : μ ≥ 2.8 H0:μ≥2.8 H 1 : μ < 2.8 H1:μ<2.8 H 0 : μ = 2.8 H0:μ=2.8 H 1 : μ ≠ 2.8 H1:μ≠2.8 H 0 : μ ≤ 2.8 H0:μ≤2.8 H 1 : μ > 2.8 H1:μ>2.8 The test is: left-tailed right-tailed two-tailed Based on a sample of 80 people, the sample mean GPA was 2.79 with a standard deviation of 0.03 The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

Answer 1

null and alternative hypothesis would be:  H 0 : ? = 2.8 ; H 1 : ? ? 2.8

The test is: two-tailed

from above p value =0.0029 ~ 0.00

Based on this we: Reject the null hypothesis