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

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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.  Hunt  Wrong (Success)  Not wrong (Failure)  Wrong (Success) 4856 Eat Meat  Not wrong (Failure) 85259\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.

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Definitions:

Short Run

A period in which at least one of a firm's inputs is fixed and cannot be changed, while others may be varied to adjust production levels.

Long Run

A period of time in economics during which all factors of production and costs are variable.

Marginal Product

The increase in output stemming from the addition of one unit of a specific input, with all other inputs kept steady.

Malthusian Dilemma

The scenario suggested by Thomas Malthus where population growth outpaces agricultural production, leading to famine, disease, and other crises.

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