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 194 out of a random sample of 255 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 0.10 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. HD 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.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 H Ix X O S X Op Р 0-0 OSO 020 < 00 メロ OO 5 Españo ? 1 As M
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 194 out of a random sample of 255 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 0.10 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. HD 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.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 H Ix X O S X Op Р 0-0 OSO 020 < 00 メロ OO 5 Españo ? 1 As M
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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Transcribed Image Text:Hypothesis test for a population proportion using the p value...
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.)
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 194 out of a random sample of 255 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 0.10 level of significance?
(a) State the null hypothesis H, and the alternative hypothesis H₁.
Ho :D
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.)
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 75%?
OYes No
H
X
0°
0=0
☐☐
X
a
S
00
OSO
O<O
Р
p
S
Olo
020
O>O
▬▬▬▬▬1/5
Abigail
Español
?
區
w
Aa
M
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