A recent study at a local college claimed that the proportion, , of students who commute more than fifteen miles to school is no more than 20%. If a random sample of255 students at this college is...

A recent study at a local college claimed that the proportion, , of students who commute more than fifteen miles to school is no more than 20%. If a random sample of255 students at this college is selected, and it is found that 68 commute more than fifteen miles to school, can we reject the college's claim at the 0.01 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) What is the null hypotheses? What is the alternative hypotheses? What is the type of test statistic? What is the value of the test statistic? (round at least three decimal places) What is the p value?