Astatistician is testing the null hypothesis that exactly half of all engineers will still be in the profession 10 years after receiving their bachelor's. she took a random sample of 200 graduates from the class of 1979 and determined their occupations in 1989. she found that 111 persons were still employed primarily as engineers. (a) construct a 95% confidence interval estimate for the proportion of engineers remaining in the profession. (ignore the continuity correction and use the formulas on p. 314.)

lower limit =

upper limit =

(b) at the 5% significance level, should the statistician accept or reject her hypothesis?

reject h0accept h0

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.