THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Of the 1400 colleges in the United States,370 have two-year schools and 1030 have four-year schools.In a random sample of 40 two-year schools,it was found that 10 of the schools do not have any faculty holding a Ph.D.degree.In an independent random sample of 60 four-year schools,it was found that only 6 of the schools do not have any faculty holding a Ph.D.degree.
-A city is divided into 50 geographic subdivisions.An estimate of the proportion of households in the city interested in a new lawn-care service was required.A random sample of three subdivisions contained 610,520,and 730 households,respectively.The households expressing interest in the service were 125,130,and 175,respectively.Find a 90% confidence interval for the proportion of all households in the city interested in the lawn-care service.