Question

Do men’s voting preferences differ significantly from women’s voting preferences?"" Use a level of significance of α = 0.05. Which set of hypotheses is appropriate for addressing the research question?

Answer 1

H₀: The voting preference of men and women are not different.

Hₐ: The voting preference of men and women are not different.

Explanation:

A hypothesis test for two proportions can be used to determine whether the preference of men differ from women in case of voting.

A Chi-square test contingency table can be used to perform the test.

The hypothesis can be defined as:

H₀: The voting preference of men and women are not different.

Hₐ: The voting preference of men and women are not different.

The test statistic is:

`\chi^(2)=(Row\ total* Column\ total)/(N)`

Decision rule:

If the p-value of the Chi-square test statistic is less than the significance level α = 0.05 then the null hypothesis will be rejected. And if the p-value is more than the significance level then the null hypothesis will not be rejected.