Working at home: According to the U.S Census Bureau, $33 \%$ of men who worked at home were college graduates. In a sample of 474 women who worked at home, 155 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
\(\boxed{0.327}\) is the point estimate for the proportion of college graduates among women who work at home.
Step 1 :Calculate the point estimate for the proportion of college graduates among women who work at home by dividing the number of college graduates by the total number of women who work at home. The formula is \(\frac{\text{Number of college graduates}}{\text{Total number of women who work at home}}\)
Step 2 :Substitute the given values into the formula: \(\frac{155}{474}\)
Step 3 :Perform the division to get the point estimate: 0.3270042194092827
Step 4 :Round the point estimate to three decimal places: 0.327
Step 5 :\(\boxed{0.327}\) is the point estimate for the proportion of college graduates among women who work at home.