Question

If you found a 95% confidence interval for the proportion of women in college to be (.476 to .581), which of the following statements would be correct to say (with 95% confidence) about the comparison of women to men in college?

A. The proportion of women in college is higher than the proportion of men.
B. The proportion of women in college is lower than the proportion of men.
C. The proportion of women in college is not different from the proportion of men.
D. There is not enough information to determine the comparison of proportions of women and men in college.

Answer 1

The proportion of women in college is not different from the proportion of men.

Step-by-step explanation:

To compare the proportions of women and men in college, we need to look at the confidence interval for the proportion of women in college. The given confidence interval is (0.476, 0.581). Since this interval does not include 0.5, we can conclude that the proportion of women in college is not different from the proportion of men. Therefore, the correct statement would be C. The proportion of women in college is not different from the proportion of men.