Test the claim that the mean GPA of night students is larger than 2.7 at the 0.10 significance level. The null and alternative hypothesis would be:   H0:p≥0.675 H1:p<0.675   H0:μ=2.7 H1:μ≠2.7   H0:p≤0.675 H1:p>0.675   H0:p=0.675 H1:p≠0.675   H0:μ≤2.7 H1:μ>2.7   H0:μ≥2.7 H1:μ<2.7 The test is:   left-tailed right-tailed two-tailed Based on a sample of 35 people, the sample mean GPA was 2.71 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

Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.2 significance level.The null and alternative hypothesis would be:   H0:μN≤μDH0:μN≤μDH1:μN>μDH1:μN>μD H0:pN≤pDH0:pN≤pDH1:pN>pDH1:pN>pD H0:pN≥pDH0:pN≥pDH1:pN<pDH1:pN<pD H0:pN=pDH0:pN=pDH1:pN≠pDH1:pN≠pD H0:μN≥μDH0:μN≥μDH1:μN<μDH1:μN<μD H0:μN=μDH0:μN=μDH1:μN≠μDH1:μN≠μD The test is:   right-tailed two-tailed left-tailed The sample consisted of 25 night students, with a sample mean GPA of 2.27 and a standard deviation of 0.06, and 25 day students, with a sample mean GPA of 2.31 and a standard deviation of 0.03.The test statistic is:  (to 2 decimals)The p-value is:  (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis

Test the claim that the proportion of people who own cats is smaller than 50% at the 0.025 significance level.The null and alternative hypothesis would be:   H0:p≤0.5H0:p≤0.5Ha:p>0.5Ha:p>0.5 H0:μ≥0.5H0:μ≥0.5Ha:μ<0.5Ha:μ<0.5 H0:p=0.5H0:p=0.5Ha:p≠0.5Ha:p≠0.5 H0:p≥0.5H0:p≥0.5Ha:p<0.5Ha:p<0.5 H0:μ=0.5H0:μ=0.5Ha:μ≠0.5Ha:μ≠0.5 H0:μ≤0.5H0:μ≤0.5Ha:μ>0.5Ha:μ>0.5 The test is:   right-tailed two-tailed left-tailed Based on a sample of 700 people, 43% owned catsThe test statistic is:  (Round to 2 decimals)The p-value is:  (Round to 2 decimals)Based on this we: Reject the null hypothesis Do not reject the null hypothesis

Test the claim that the mean GPA of night students is significantly different than 3.2 at the 0.05 significance level.The null and alternative hypothesis would be:   H0:μ≤3.2H0:μ≤3.2H1:μ>3.2H1:μ>3.2 H0:p≤0.8H0:p≤0.8H1:p>0.8H1:p>0.8 H0:p≥0.8H0:p≥0.8H1:p<0.8H1:p<0.8 H0:μ≥3.2H0:μ≥3.2H1:μ<3.2H1:μ<3.2 H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 H0:μ=3.2H0:μ=3.2H1:μ≠3.2H1:μ≠3.2 The test is:   right-tailed two-tailed left-tailed Based on a sample of 65 people, the sample mean GPA was 3.16 with a standard deviation of 0.05The test statistic is:  (to 2 decimals)The p-value is:  (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis