Among students at a nearby college, the proportion who say they're interested in their congressional district's election results has traditionally been 70%, After a series of lackluster 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 less than 70%. A poll is commissioned, and 166 out of a random sample of 245 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 0.05 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 H : 0 x S H, :1 (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 X (d) Find the critical value. (Round to three or more decimal places.) (e) Can we support the political scientist's claim that the proportion of college students who say they're interested in their district's election results is less than 70%? OYes ONo