Question

In: Statistics and Probability

You would like to test whether race (Black or White) is associated with one’s choice of...

You would like to test whether race (Black or White) is associated with one’s choice of political party (Democrat, Independent, or Republican). If the chi-square test statistic you calculate is 234.73, and your α =0.05, what can you conclude?

Group of answer choices

There is no evidence of an association between race and political party.

There is evidence of an association between race and political party.

White individuals are more likely to identify as Democrats than Black individuals.

Black individuals are more likely to identify as Democrats than White individuals.

Solutions

Expert Solution

Answer: There is evidence of an association between race and political party.

>> Null hypothesis, H0: There is no evidence of an association between race and political party.

Alternative hypothesis, H1: There is evidence of an association between race and political party.

Chi-Square Test Statistic = 234.73

Degrees of Freedom = (# rows – 1)(# columns – 1) = (2 – 1)(3 – 1) = 2

Significance Level, α = 0.05

Chi-Square Critical Value = X²(0.05,2) = 5.991

Since, the test statistic exceeds the critical value, we reject the null hypothesis and conclude that there is evidence of an association between race and political party.

orchestra answered 1 year ago
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