In the United States, historically, 40 of registered voters are Republican Suppose you obtain a simple random sample of 320 registered voters and nd 142 registered Republicans (a) Consider the hypotheses H0 p 0 4 versus H1 p 0 4 Explain what the researcher would be testing Perform the test at the 0...

a The researcher would be testing whether more than 40 of registered voters are Republican Np 0 1p 0 32004 1 04 768 10 so the requirements of the hypo ...

In the United States, historically, 40% of registered voters are Republican. Suppose you obtain a simple random

Question:

In the United States, historically, 40% of registered voters are Republican. Suppose you obtain a simple random sample of 320 registered voters and ﬁnd 142 registered Republicans.

(a) Consider the hypotheses H0: p = 0.4 versus H1: p < 0.4. Explain what the researcher would be testing. Perform the test at the α = 0.05 level of signiﬁcance. Write a conclusion

for the test.

(b) Consider the hypotheses H0: p = 0.41 versus H1: p < 0.41. Explain what the researcher would be testing. Perform the test at the α = 0.05 level of signiﬁcance. Write a conclusion for the test.

(c) Consider the hypotheses H0: p = 0.42 versus H1: p < 0.42. Explain what the researcher would be testing. Perform the test at the α = 0.05 level of signiﬁcance. Write a conclusion for the test.

(d) Based on the results of parts (a)–(c), write a few sentences that explain the difference between “accepting” the statement in the null hypothesis versus “not rejecting” the statement in the null hypothesis.