Question

Physical education requirements. In the. 1920s, about 97% of U.S. colleges and universities required a physical education course for graduation. Today, about 40% require such a course. A recent study of physical education requirements included 354 institutions: 225 private and 129 public. Among the private institutions, 60 required a physical education course, while among the public instituitons, 101 required a course. Use the data from the recent study to answer the following questions.

a) What are the explanatory and response variables for this exercise? Justify your answers.

b) What are the populations?

c) What are the statistics?

d) Use a 95% confidence interval to compare the private and the public institutions with regard to the physical education requirement.

Answer 1

a) Explanatory variable: The course required

Response variable: Graduation

b) Population : U.S. colleges and universities required a physical education course for graduation

in 1970 Population proportion = 97%

Today Population proportion = 40%

c) Statistic : Public and private institute

For Private Institute:

N1 = 225, X1= 60

proportion,

For Public Institute:

N2 = 129, X2= 101

proportion,

d) At = 0.05, critical value, = 1.645

95% confidence interval for