Test the claim that the proportion of people who own cats is smaller than 80% at the 0.01 significance level. The null and alternative hypothesis would be: Ho:p 0.8 Ho:p = 0.8 Ho:p > 0.8 Ho:p 0.8 H1:p / 0.8 Hi:p 0.8 O O The test is: right-tailed left-tailed two-tailed O Based on a sample of 100 people, 76% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesisTest the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .05 significance level. The null and alternative hypothesis would be: H_0: p_M = p_F* *H_0: mu_M = mu_F *H_0: p_M = p_F* *H_0: mu_M = mu_F* *H_0: mu_M = mu_F H_1: p_M p_F "H_1: mu_M> mu_F* *H_1: mu_M = mu_F O O H_0: p_M = p_F H_1: p_M = p_F The test is: right-tailed left-tailed two-tailed O O O Based on a sample of 80 men, 35% owned cats Based on a sample of 80 women, 60% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis