3. (Dataset: gssD. Variables: sibs, relig2, authoritarianism, sex.) Here are two bits of conventional wisdom, beliefs that are widely accepted as accurate descriptions of the world. Conventional Wisdom 1: Catholics have bigger families than do Protestants. (Dependent variable: sibs, number of siblings; independent variable: relig2, "Protestant"/ "Catholic".) Conventional Wisdom 2: Men have stronger authoritarian tendencies than do women. (Dependent variable: authoritarianism, ranging from 0 [low authoritarianism] to 7 [high authoritarianism]; independent variable: sex.)

1. Use wtd.ttestC to test these ideas and see how well they stand up to the statistical evidence. Run the analyses. Record the results in the following table.

	Conventional Wisdom 1	Conventional Wisdom 2
Mean difference	-0.230	0.203
Lower 95% CI boundary of mean difference	-0.643	-0.026
Upper 95% CI boundary of mean difference	0.184	0.432
t-statistic	-1.088	1.735
P-value	0.277	0.083

1. Consider the following statement: "According to the statistical evidence, we can reject the null hypothesis for Conventional Wisdom 1." Is this statement correct or incorrect? (Circle one.)

Incorrect Correct

Explain your answer, making specific reference to the statistics in part A.

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1. Consider the following statement: "The statistical evidence supports Conventional Wisdom 2." Is this statement correct or incorrect? (Circle one.)

Incorrect Correct

Explain your answer, making specific reference to the statistics in part A.

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