An Office of Admission document claims that 56% of UVA undergraduates are female. To test this claim, a random sample of 200 UVA undergraduates was selected. In this sample, 55.5% were female. Is there sufficient evidence to conclude that the document's claim is false? Carry out a hypothesis test at a 6% significance level. A. The value of the standardized test statistic:  Note: For the next part, your answer should use interval notation. An answer of the form (−∞,a)(−∞,a) is expressed (-infty, a), an answer of the form (b,∞)(b,∞) is expressed (b, infty), and an answer of the form (−∞,a)∪(b,∞)(−∞,a)∪(b,∞) is expressed (-infty, a)U(b, infty). B. The rejection region for the standardized test statistic:    C. The p-value is  D. Your decision for the hypothesis test: A. Reject H1H1. B. Do Not Reject H1H1. C. Reject H0H0. D. Do Not Reject H0H0.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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 200 UVA undergraduates was selected. In this sample, 55.5% were female. Is there sufficient evidence to conclude that the document's claim is false? Carry out a hypothesis test at a 6% significance level.

A. The value of the standardized test statistic: 

Note: For the next part, your answer should use interval notation. An answer of the form (−∞,a)(−∞,a) is expressed (-infty, a), an answer of the form (b,∞)(b,∞) is expressed (b, infty), and an answer of the form (−∞,a)∪(b,∞)(−∞,a)∪(b,∞) is expressed (-infty, a)U(b, infty).

B. The rejection region for the standardized test statistic: 

 

C. The p-value is 

D. Your decision for the hypothesis test:

A. Reject H1H1.
B. Do Not Reject H1H1.
C. Reject H0H0.
D. Do Not Reject H0H0.

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