#17 Among college students, the proportion p who say they're interested in their congressional district's election results hastraditionally been 65%. After a series of debates on campuses, a political scientist claims that the proportion of collegestudents who say they're interested in their district's election results is more than 65%. A poll is commissioned, and 178out of a random sample of 260 college students say they're interested in their district's election results. Is there enoughevidence to support the political scientist's claim at the 0.05 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 H₁.(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.)0(d) Find the p-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 65%?OYes O NoμX0=0aS00$0O

It is given that Population proportion, p = 65% = 0.65 Favourable cases, X = 178 Sample size, n =…

(a) State the null hypothesis H and the alternative hypothesis H₁. Ho H₁:0 (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.) H |x X ñ

(a) State the null hypothesis H and the alternative hypothesis H₁. Ho H₁:0 (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.) H |x X ñ

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 6E

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Question

#17

Among college students, the proportion p who say they're interested in their congressional district's election results has
traditionally been 65%. 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 65%. A poll is commissioned, and 178
out of a random sample of 260 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 0.05 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 H₁.
(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.)
0
(d) Find the p-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 65%?
OYes O No
μ
X
0=0
a
S
0
0$0
O<O
P
$
00
☐20
O<O

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