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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 139 out of a random sample of 240 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 H and the alternative hypothesis H,. H, : H, :0 (b) Determine the type of test statistic to use. D=0 OSO (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) O

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 139 out of a random sample of 240 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 H and the alternative hypothesis H,. H, : H, :0 (b) Determine the type of test statistic to use. D=0 OSO (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) O

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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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 139 out of a random sample of 240 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 H and the alternative hypothesis H,. H, : H, :0 (b) Determine the type of test statistic to use. D=0 OSO (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the p-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 60%? O Yes ONo olo
Transcribed Image Text: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 139 out of a random sample of 240 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 H and the alternative hypothesis H,. H, : H, :0 (b) Determine the type of test statistic to use. D=0 OSO (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the p-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 60%? O Yes ONo olo
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