(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.)

a. 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 (see next page). (10 pts)

Conventional Wisdom Conventional Wisdom 2 Mean difference ? Lower 95% CI boundary of mean ? ? difference Upper 95% CI boundary of mean ? ? difference t-statistic ? P-value