A college claims that the proportion, p, of students who commute more than fifteen miles to schoof is less than 25%. A rescarcher wants to terst this. A medom sample of 265 students at this college is selected, and it is found that 57 commute more than fineen miles to school. is there enough evidence te support the college's doim at the 0.05 level of isignificance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to thee or more decimal places. (If necessary, consut a list of formulas-) (a) state the null hyrothesis H0 and the alternative hrpothesh H1. H0:H1: (a) State the null hyrothesis H0 and the alternative hypothesis H1. H0:H1:[ (b) Determine the type of test statistic to use. (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the R.yalue. (Round to three or more decimal places.) (e) Is there enough evidence to support the claim that the proportion of students who commute more than fifteen miles to school is less than 25% ? Yes No