Perform a Homogeneity of Proportions Test to Test Whether the Population

question 59

Essay

Perform a homogeneity of proportions test to test whether the population proportions are equal. The hypotheses to be
tested are:
H₀: The proportions are equal
H_a: At least one of the proportions is different from the others.
-Random samples of 400 men and 400 women were obtained and participants were asked whether they
planned to vote in the next election. The results are listed below. Perform a homogeneity of proportions test 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. Use $$\alpha$$ = 0.05. $$\begin{array} { l | c c } & \text { Men } & \text { Women } \\\hline \text { Plan to vote } & 230 & 255 \\\text { Do not plan to vote } & 170 & 145\end{array}$$

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