Academic staff members at a college were cross-classified according to gender and political affiliation. The two-way table below shows the results. Democrat Republican Total Male 39 19 58 Female 85 26 111 Total 124 45 169 Calculate the marginal counts (row and column totals) in the table. Then, conduct a test to determine whether gender and political affiliation are independent at the significance level of 0.1. (a) State the null and alternative hypotheses. H0: Gender and political affiliation are independent. Ha: Gender and political affiliation are not independent. (b) Calculate the expected counts. (Round to 3 decimal places.) Democrat Republican Total Male 45.988 12.012 58 Female 78.012 32.988 111 Total 124 45 169 (c) Calculate the test statistic. (Round to 3 decimal places.) (d) Approximate the p-value. Select p-value < 0.01 (e) State the decision. Reject the null hypothesis.
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H0: Gender and political affiliation are independent. Ha: Gender and political affiliation are not independent. (b) To calculate the expected counts, we need to first calculate the row and column totals, and then use these to calculate the expected counts using Show more…
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