Use a 0.01 significance level to test the claim that the proportion of men who plan to vote in
the next election is the same as the proportion of women who plan to vote. 300 men and 300
women were randomly selected and asked whether they planned to vote in the next election.
The results are shown below. $$\begin{array} { r | c c }
& \text { Men } & \text { Women } \
\hline \text { Plan to vote } & 170 & 185 \
\text { Do not plan to vote } & 130 & 115
\end{array}$$

Question

Use a 0.01 significance level to test the claim that the proportion of men who plan to vote in
the next election is the same as the proportion of women who plan to vote. 300 men and 300
women were randomly selected and asked whether they planned to vote in the next election.
The results are shown below. $$\begin{array} { r | c c } 
& \text { Men } & \text { Women } \
\hline \text { Plan to vote } & 170 & 185 \
\text { Do not plan to vote } & 130 & 115
\end{array}$$

Quizplus · Accepted Answer

The Answer is

H _ { 0 }

: The proportion of men who plan to vote in the next election is the same as the proportion of women who plan to vote.

H _ { 1 }

: At least one of the proportions are different.
Test statistic:

\chi ^ { 2 } = 1.552

. Critical value:

\chi ^ { 2 } = 6.635

.
Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the proportion of men who plan to vote in the next election is the same as the proportion of women who plan to vote.

Use a 001 Significance Level to Test the Claim That the Proportion