A college claims that the proportion,p, of students who commute more than 15 miles to school is less than 15%. A researcher wants to test this. A random sample of 275 students at this college is selected, and it is found that 38 commute more than 15 miles to school. Is there enough evidence to support the colleges claim at the 0.10 level of significance?

Perform a one-tailed test.

Carry your intermediate computations to 3 or more decimal places

a). State the null and alternative hypothesis

b). Determine the type of test statistic to use

c). Find the value of the test ( round to 3 or more decimal places)

d). Find the p-value ( round to 3 or more decimal places)

e). Is there enough evidence to support the claim that the proportion of students who commute more than 15 miles to school is less than 15%