A recent study at a local college claimed that theproportion,p, of students who commute more than fifteen miles to school is no more than20

%. If a random sample of270 students at this college is selected, and it is found that70 commute more than fifteen miles to school, can we reject the college's claim at the0.05 level of significance?

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

a. The null hypothesis: H0=

b. The alternative hypothesis: H1=

c. The type of test statistic:

d. The value of the test statistic:

(Round to at least three decimal places.)

e. The critical value at the0.05

level of significance:

(Round to at least three decimal places.)

f. Can we reject the claim that the proportion of students who commute more than fifteen miles to school is no more than20%?