You are testing the claim that the proportion of men who own cats is larger than the proportion of women who own cats. You sample 180 men, and 10% own cats. You sample 200 women, and 35% own cats. Find the test statistic, rounded to two decimal places. You wish to test the following claim {Ha} at a significance level of a: = 0.10. Ho:P1 =10: Haipl Z3132 You obtain 121 successes in a sample of size 111 = 259 from the first population. You obtain 163 successes in a sample of size 12.2 = 365 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. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? {Report answer accurate to four decimal places.) p-value = The p-value is... '33:? less than [or equal to) o: '13:? greater than or This test statistic leads to a decision to... '33:? reject the null '11:? accept the null '3' fail to reject the null As such, the final conclusion is that... '3' There is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. '3' There is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. '3' The sample data support the claim that the first population proportion is greater than the second population proportion. '33:? There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion