Voter Registration a Random Sample of 337 College Students Was

question 15

Essay

Voter registration A random sample of 337 college students was asked whether or not they were registered to vote. We wonder if there is an association between a student's sex and whether the student is registered to vote. The data are provided in the table below
(expected counts are in parentheses). (All the conditions are satisfied - don't worry about checking them.) $$\begin{array} { | l | c | c | c | } \hline & \text { Men } & \text { Women } & \text { Total } \\\hline \text { Registered } & 104 ( 102 ) & 147 ( 149 ) & 251 \\\hline \text { Not Registered } & 33 ( 35 ) & 53 ( 51 ) & 86 \\\hline \text { Total } & 137 & 200 & 337 \\\hline\end{array}$$
$$\text { The calculated statistic is } ? ^ { 2 } = 0.249 \text {. }$$
a. Write appropriate hypotheses.
b. Suppose the expected values had not been given. Show exactly how to calculate the expected number of men who are registered to vote.
c. Show how to calculate the component of ç? for the first cell. d. How many degrees of freedom are there?
e. Find the P-value for this test.
f. State your complete conclusion in context.

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Definitions:

Critical Variables

Key factors or elements that significantly influence the outcome of a process, model, or system, often monitored for management or prediction.

PEG Ratio

A stock valuation metric that measures the price-to-earnings ratio (P/E) of a stock divided by its earnings growth rate.

Growth Rate

The rate at which an economic variable, such as the Gross Domestic Product (GDP), a company's profits, or an investment's value, increases over a specified period of time.

Market Capitalization Rate

The expected return on an investment in the market, often used in the valuation of stocks and to determine a company's cost of equity.