Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.01 significance level. The null and alternative hypothesis would be: Ho: UM = UF HO: PM = PF Ho : PM = PF H1:UM PF H1 :PM # PF Ho: UM = UF HO: PM = PF Ho : UM = UF You wish to test the following claim (Ha) at a significance H1:UM > UF H1:PM p2 The test is: You obtain 163 successes in a sample of size n1 = 614 from the first population. You obtain 84 successes in a sample of two-tailed right-tailed left-tailed size n2 = 474 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. Based on a sample of 80 men, 45% owned cats What is the critical value for this test? (Report answer Based on a sample of 40 women, 65% owned cats accurate to three decimal places.) critical value = The test statistic is: (to 2 decimals) What is the test statistic for this sample? (Report answer accurate to three decimal places.) The p-value is: (to 2 test statistic = decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis