Among college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 75%. After a series ofdebates on campuses, a political scientist claims that the proportion of college students who say they're interested in their district's election results is more than75%. A poll is commissioned, and 221 out of a random sample of 275 college students say they're interested in their district's election results. Is there enoughevidence 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. (If necessary, consult a list of formulas.)(a) State the null hypothesis H and the alternative hypothesis H,.H, :0H, :0Do믐(b) Determine the type of test statistic to use.(Choose one) ▼D=0OSO(c) Find the value of the test statistic. (Round to three or more decimal places.)OO?(d) Find the critical value. (Round to three or more decimal places.)(e) Is there enough evidence to support the political scientist's claim that theproportion of college students who say they're interested in their district'selection results is more than 75%?

It is given that Sample size n = 275 Number of successes, X = 221 Level of significance = 0.01 Note…

1' (a) State the null hypothesis Ho and the alternative hypothesis H,. Ho H, :0 (b) Determine the type of test statistic to use. |(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.

1' (a) State the null hypothesis Ho and the alternative hypothesis H,. Ho H, :0 (b) Determine the type of test statistic to use. |(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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Question

Among college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 75%. After a series of
debates on campuses, a political scientist claims that the proportion of college students who say they're interested in their district's election results is more than
75%. A poll is commissioned, and 221 out of a random sample of 275 college students 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. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H and the alternative hypothesis H,.
H, :0
H, :0
Do
믐
(b) Determine the type of test statistic to use.
(Choose one) ▼
D=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
O>O
?
(d) Find the critical value. (Round to three or more decimal places.)
(e) Is there enough evidence to support the political scientist's claim that the
proportion of college students who say they're interested in their district's
election results is more than 75%?

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Is there enough evidence to support the political scientist's claim that the proportion of college students who say they're interested in their district's election results is more than 75%?

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