Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the $0.2$ significance level. The null and altemative hypothesis would be: $$ \begin{array}{1} H_{0}: \mu_{M}=\mu_{F} \quad H_{0}: p_{M}=p_{F} \quad H_{0}: \mu_{M}=\mu_{F} \quad H_{0}: p_{M}=p_{F} \quad H_{0}: \mu_{M}=\mu_{F} \quad H_{0}: p_{M}=p_{P} \ H_{1}: \mu_{M} eq \mu_{F} \quad H_{1}: p_{M}\mu_{F} \quad H_{1}: p_{M}>p_{F} \end{array} $$ The test is: left-tailed two-tailed right-tailed Based on a sample of 40 men, $45 %$ owned cats Based on a sample of 60 women, $50 %$ owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis SP.VS. 846