Working at home: According to the U.S. Census Bureau, \( 34 \% \) of men who worked at home were college graduates. In a sample of 500 women who worked at home, 170 were college graduates. Part: \( 0 / 3 \) Part 1 of 3 (a) Find a point estimate for the proportion of college graduates among women who work at home. Round the answer to at least three decimal places. The point estimate for the proportion of college graduates among women who work at home is 0.340.

To find the point estimate for the proportion of college graduates among women who work at home, we can use the formula for the sample proportion: \[ \hat{p} = \frac{x}{n} \] where: - \( \hat{p} \) is the sample proportion (point estimate), - \( x \) is the number of college graduates in the sample, - \( n \) is the total number of individuals in the sample. From the problem, we have: - \( x = 170 \) (the number of college graduates among women who worked at home), - \( n = 500 \) (the total number of women in the sample). Now, we can calculate the point estimate: \[ \hat{p} = \frac{170}{500} \] Calculating this gives: \[ \hat{p} = 0.34 \] Thus, the point estimate for the proportion of college graduates among women who work at home is: \[ \hat{p} = 0.340 \] This matches the answer you provided.