Question

5/17/19 9:34 PM a. The Department of Labor wants to estimate the percentage of females in the US labor force to within t5%, with 90% confidence. How many employment records should be sampled? o. They actually select a random sample of 525 employment records, and find that 225 of the people are females. Construct the 90% confidence interval. c. Interpret the confidence interval in this context. d. Explain what 90% confidence means in this context. e. Should representatives from the Department of Labor conclude that the percentage of females in the US. labor force is lower than Europe's rate of 40%? Explain. t Are the assumptions and conditions for constructing a confidence interval met? Explain.

Answer 1

Let x--# of-females in the. Sample nscmple size. Then be-ㄨㄧㄧ -propos tion of fem les lo, the sample of size n So cleariy X BCn,p) cin FoY Lange Y) using CLT,we have VVC DOC 1-00%. C.I. for population propot females 2.25· 0429 525 --0. 429 -1.64S λ 0.0216. .3939S 0.46

is--(0.39 35, o. 4645). 90%. C, 1. so By . .90 %. . Conficlence interval- ( o . 3g3 S-1-o.46 4S2. nean that there is 9o s Chance the taue population propotion for femle lies tn the interval - (o -3g3S2-0.46 g S). -loo Ci-0(2% there fic ence, interval de mean. that is chance te xue panemeter population P o temale lies in the interual Cab)