Question

(1 point) An Office of Admission document claims that 56.5% of UVA undergraduates are female. To test this claim, a random sample of 220 UVA undergraduates was selected. In this sample, 55% were female. Is there sufficient evidence to conclude that the document's claim is false? Carry out a two-tailed hypothesis test at a 7% significance level.

(a) Set up the null and alternate hypothesis for this problem.
Note: Use p for the proportion, <> for ≠≠, <= for ≤≤ and >= for ≥≥. State p0p0 as a decimal like 0.565 to represent 56.5%.
H0:H0:   Use a non-directional null hypothesis like p=p0p=p0 even if the problem is right or left tailed.
H1:H1:

(b). 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 (-inf, a), an answer of the form (b,∞)(b,∞) is expressed (b, inf), and an answer of the form (−∞,a)∪(b,∞)(−∞,a)∪(b,∞) is expressed (-inf, a)U(b, inf).

(c). The rejection region for the standardized test statistic:

(d). The p-value is

(e) Your decision for the hypothesis test:

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

Answer 1