Among students at a nearby college, the proportion who say they're interested in their congressional district's election results has traditionally been 65%. After a series of gripping debates on campus, a political scientist claims that the proportion, p, of students at the college who say they're interested in their district's election results is now greater than 65%. A poll is commissioned, and 135 out of a random sample of 255 students at the college say they're interested in their district's election results. Is there enough evidence to support the political scientist's claim at the 0.01 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 H0 and the alternative hypothesis HI' u o p H . u i 5 .3 H1 : _: _ HE J: (b) Determine the type of test statistic to use. _ ' 1 (Choose one] Y' . = .. . Si. 2_ (c) Finc the value of the test statistic. (Round to three or more decimal places.) If- { 3 X 33 (d) Finc the p-value. (Round to three or more decimal places.) (e) Can we support the political scientist's claim that the proportion of college stucents who say they're interested in their district's election results is greater than 05%? CYes O No