span An administrator at a rural college claims that the proportion, p, of students who commute farther than fifteen miles to school is more than 25%. To test this, she selects a random sample of 270 students at this college, and she finds that 85 commute farther than fifteen miles to school, Is there enough evidence to support the administrator'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,. p H :1 V S H I (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.) (d) Find the critical value. (Round to three or more decimal places.) X (e) Can we support the claim that the proportion of students who commute farther than fifteen miles to school is more than 25%? OYes ONo