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Among students at a nearby college, the proportion who say they're interested in their congressional district's election results has traditionally been 60%. After a series

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Among students at a nearby college, the proportion who say they're interested in their congressional district's election results has traditionally been 60%. 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 60%. A poll is commissioned, and 110 out of a random sample of 215 students at the college say they're interested in their distn'ct's election results. Is there enough evidence to support the political scientist's claim at the 0.01 level of significance? Perform a onetailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specied in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1. H: 0 Y s 3 H1: El DE DD '5 (b) Determine the type of test statistic to use. (c) Find the value of the test statistic. (Round to three or more decimal places.) EI=EI EIEI (d) Find the pyalue. (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 60%? OYes O No

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