To find out what people think, the Gallup Poll selected a random sample of 520 women and 506 men. The pollsters showed them a list of personal attributes and asked them to indicate whether each attribute was “generally more true of men or of women”. When asked about intelligence, 28% of the men thought men were generally more intelligent, but only 14% of the women agreed. Is there a gender gap in opinions about which sex is smarter? Describe and interpret all the information about this, including the percentage and CI of each sex, the percentage and CI of people who thought women were more intelligent, the percentage and CI of men who thought this, and the percentage and CI of women who thought this, the difference in percentages and the CI of this, the OR and CI, and the p value. Reach a final conclusion.

Question

To find out what people think, the Gallup Poll selected a random sample of 520 women and 506 men.  The pollsters showed them a list of personal attributes and asked them to indicate whether each attribute was “generally more true of men or of women”.    When asked about intelligence, 28% of the men thought men were generally more intelligent, but only 14% of the women agreed.  Is there a gender gap in opinions about which sex is smarter?  Describe and interpret all the information about this, including the percentage and CI of each sex, the percentage and CI of people who thought women were more intelligent, the percentage and CI of men who thought this, and the percentage and CI of women who thought this, the difference in percentages and the CI of this, the OR and CI, and the p value.   Reach a final conclusion.