A recent study at a local college claimed that the proportion, p, of students who commute more than fifteen miles to school is no more than 20%. If a random sample of 260 Sstudents at this college is...

Please see the attached photo

Extracted text: A recent study at a local college claimed that the proportion, p, of students who commute more than fifteen miles to school is no more than 20%. If a random sample of 260 Sstudents at this college is selected, and it is found that 69 commute more than fifteen miles to school, can we reject the college's claim at the oo1 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H1. H, :0 H, 0 (b) Determine the type of test statistic to use. (Choose one) y O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) ? (d) Find the critical value. (Round to three or more decimal places.) (e) Can we reject the claim that the proportion of students who commute more than fifteen to sch l is no more than 20%? OYes ONo