Voter Registration a Random Sample of 337 College Students Was

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.