Question

Ten engineering schools in a country were surveyed. The sample contained 275 electrical engineers, 90 being women; 200 chemical engineers, 30 being women Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering Is there a significant difference between the two proportions? Click here to view.Rage 1 of the standard normal distribution table, Click here to view page 2 of the standard normal distribution table Let p, be the population proportion of electrical engineers that are women in the schools that were surveyed and let p, be the population proportion of chemical engineers that are women in the schools that were surveyed. The 90% confidence interval is (P1-P2 (Round to three decimal places as needed.)

Answer 1

The statistical software output for this problem is :

Two sample proportion summary confidence interval: P1: proportion of successes for population 1 P2 : proportion of successes for population 2 P1-P2 : Difference in proportions 90% confidence interval results: Difference Count! Totall Count2 Total2 Sample Diff. Std. Err. L. Limit U. Limit P1 - P2 9 0 275 30 200 0.17727273 0.037922303 0.11489609 0.23964936

The 90% CI is :

0.115 < p1 - p2 < 0.240