THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 59

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.
-Find a 95% confidence interval for the proportion of all colleges that do not have any faculty holding a Ph.D.degree.

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Definitions:

Binomial Variable

A type of random variable that takes on one of two possible outcomes, for instance, success or failure, often with a fixed probability of occurrence.

Race

A socially constructed category that groups people based on physical characteristics, such as skin color or facial features.

Education

The act of imparting or acquiring knowledge, particularly in an institutional setting like a school or university.

Role Conflict

An employee's recognition that demands of the job are incompatible or contradictory.