In a Survey, Students Were Selected at Random from a Certain

In a survey, students were selected at random from a certain college and were asked two questions. The firstquestion was ʺDo you believe it is wrong to hunt ?ʺ The second question was ʺDo you believe it is wrong to eatmeat?ʺ The results are shown in the table. Success for the first question is identifying someone who feels that itis wrong to hunt and for the second question is identifying someone who feels that it is wrong to eat meat. $\begin{array}{ll|cc} & &{\text { Hunt }} \\& & \text { Wrong (Success) } & \text { Not wrong (Failure) } \\\hline & \text { Wrong (Success) } & 48 & 56 \\\text { Eat Meat }\\& \text { Not wrong (Failure) } & 85 & 259\end{array}$
Is there a significant difference in the proportion of students at this college who feel it is wrong to hunt and theproportion who feel that it is wrong to eat meat? Use the P-value method and the α = 0.05 level of significance.5 Determine the sample size needed for estimating the difference between two population proportions.