statistics 19

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 255 students at this college is selected, and it is found that 58 commute more than fifteen miles to school, can we reject the college's claim at the 0.05 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 Ho and the alternative hypothesis H O P Ho : 0 X S H :0 (b) Determine the type of test statistic to use. (Choose one) 0-0 050 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) Ox0 00 0 X ? (d) Find the p-value. (Round to three or more decimal places.) (e) Can we reject the claim that the proportion of students who commute more than fifteen miles to school is no more than 20%? OYes ONo