Question

Ten engineering schools in a country were surveyed. The sample contained 225 electrical engineers, 80 being women: 175 chemical engineers, 30 being women. Compute a 95% 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 page 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 po be the population proportion of chemical engineers that are women in the schools that were surveyed. The 95% confidence interval is <P1-P2 (Round to three decimal places as needed.)

Answer 1

Solution O356 215 P 30 P,- P2 O 35 6-O j P, (-R 0.356-0.356) ০.।१(- 4325 -645 RC-P,) P-R) + Z4/2 Margin E 0-356 C1-0.356) Morrgin Contidence in terval (p-) +E (0-356-0-131) o.038 contidence inter val o |015, O .26 es o.161S P, -P < o.2685