Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .01 significance level. The null and alternative hypothesis would be: $$ \begin{array}{c} H_{0}: p M=p_{F} \quad H_{0}: p_{M}=p_{F} \quad H_{0}: p_{M}=p_{F} \quad H_{0}: \mu_{M}=\mu_{F} \quad H_{0}: \mu_{M}=\mu_{F} \quad H_{0}: \mu_{M}=\mu_{P} W H_{1}: p_{M}p_{1}: H_{1}: \mu_{M} eq \mu_{F} \quad H_{1}: \mu_{M}\mu_{F} \ 0 \end{array} $$ The test is: right-tailed two-tailed left-tailed Based on a sample of 20 men, $25 %$ owned cats Based on a sample of 40 women, $45 %$ 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 cS.VS. 1311||