14.47 Ideal number of kids by gender and race The GSS asks,

“What is the ideal number of kids for a family?” When we use a recent GSS to evaluate how the mean response depends on gender and race (black or white), we get the results shown in the ANOVA table.

a. Identify the response variable and the factors.

b. Explain what it would mean if there were no interaction between gender and race in their effects. Show a hypothetical set of population means that would show a strong race effect and a weak gender effect and no interaction.

c. Using the table, specify the null and alternative hypotheses, test statistic, and P-value for the test of no interaction. Interpret the result.

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ANOVA of Ideal number of kids by gender and race Source Gender Race Interaction Error Total DF SS MS F P 1 0.25 0.25 0.36 0.546 1 16.98 16.98 24.36 0.000 1 0.95 0.95 1.36 0.244 1245 867.72 0.70 1248 886.12