An Office of Admission document claims that 55.7% of UVA undergraduates are female. To test this claim,

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Question:

An Office of Admission document claims that 55.7% of UVA undergraduates are female. To test this claim, a random sample of 210 UVA undergraduates was selected. In this sample, 53.9% were female. Is there sufficient evidence to conclude that the document's claim is false? Carry out a hypothesis test at a 1% 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 $(-\infty,a)(-\infty,a)$ is expressed (-infty, a), an answer of the form $(b,\infty)(b,\infty)$ is expressed (b, infty), and an answer of the form $(-\infty,a)\cup(b,\infty)(-\infty,a)\cup(b,\infty)$ 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. Do Not Reject $H0$ .
B. Do Not Reject $H1H1$ .
C. Reject $H0H0$ .
D. Reject $H1H1$ .