An Office of Admission document claims that 56% of UVA undergraduates are female. To test this claim, a random sample of 215 UVA undergraduates was selected. In this sample, 58.8% were female. Is there sufficient evidence to conclude that the document's claim is false? Carry out a hypothesis test at a 4% significance level

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 14PPS
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An Office of Admission document claims that 56% of UVA undergraduates are female. To test this claim, a random sample of 215 UVA undergraduates was selected. In this sample, 58.8% were female. Is there sufficient evidence to conclude that the document's claim is false? Carry out a hypothesis test at a 4% significance level.

A. The value of the standardized test statistic: 0.827097883
Note: For the next part, your answer should use interval notation. An answer of the form (-0, a) is expressed (-infty, a), an answer of the form (b, o0) is expressed (b, infty), and an answer of the form
(-00, a) U (b, ) is expressed (-infty, a)U(b, infty).
B. The rejection region for the standardized test statistic:
(-infty,-1.664562861)U(1.664562861, infty)
C. The p-value is 0.4082
D. Your decision for the hypothesis test:
O A. Do Not Reject Ho.
OB. Reject Ho-
OC. Reject H1:
OD. Do Not Reject H1.
Transcribed Image Text:A. The value of the standardized test statistic: 0.827097883 Note: For the next part, your answer should use interval notation. An answer of the form (-0, a) is expressed (-infty, a), an answer of the form (b, o0) is expressed (b, infty), and an answer of the form (-00, a) U (b, ) is expressed (-infty, a)U(b, infty). B. The rejection region for the standardized test statistic: (-infty,-1.664562861)U(1.664562861, infty) C. The p-value is 0.4082 D. Your decision for the hypothesis test: O A. Do Not Reject Ho. OB. Reject Ho- OC. Reject H1: OD. Do Not Reject H1.
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