A college claims that the proportion,p, of students who commute more than 15 miles to school is less than 25%, a researcher wants to test this. A random sample of 275 students at the college is selected, and it is found that 49 commute more than 15 miles to school. Is there enough evidence to support the colleges claim at the 0.01 level of significance?

Perform a one-tailed test.

a). State the null and alternative hypothesis

b). Determine the type of test statistic to use

c). Find the value of the statistics. Round your answer to 3 or more decimal.

d). Find the p-value. Round your answer to 3 or more decimal places