Question

An online poll​ asked: "Do you believe the Loch Ness monster​ exists?" Among 20 comma 762 ​responses, 64​% were​ "yes." Use a 0.01 significance level to test the claim that most people believe that the Loch Ness monster exists. How is the conclusion affected by the fact that Internet users who saw the question could decide whether to​ respond? Identify the null and alternative hypotheses for this test. Choose the correct answer below.

A. Upper H 0​: pequals0.5 Upper H 1​: pnot equals0.5

B. Upper H 0​: pequals0.5 Upper H 1​: pless than0.5

C. Upper H 0​: pequals0.5 Upper H 1​: pgreater than0.5

D. Upper H 0​: pgreater than0.5 Upper H 1​: pequals0.5

Identify the test statistic for this hypothesis test.

The test statistic for this hypothesis test is _________. ​(Round to two decimal places as​ needed.)

Identify the​ P-value for this hypothesis test. The​ P-value for this hypothesis test is . ​(Round to three decimal places as​ needed.)

Identify the conclusion for this hypothesis test.

A. Fail to reject Upper H 0. There is not sufficient evidence to warrant rejection of the claim that most people believe that the Loch Ness monster exists.

B. Reject Upper H 0. There is sufficient evidence to support the claim that most people believe that the Loch Ness monster exists.

C. Reject Upper H 0. There is not sufficient evidence to warrant rejection of the claim that most people believe that the Loch Ness monster exists.

D. Fail to reject Upper H 0. There is sufficient evidence to warrant rejection of the claim that most people believe that the Loch Ness monster exists.

How is the conclusion affected by the fact that Internet users who saw the question could decide whether to​ respond?

A. Since the sample is a​ voluntary-response sample, the conclusion might not be valid.

B. Since any of the​ site's users are allowed to​ respond, the conclusion is valid.

C. Since only certain users are being allowed to​ respond, the conclusion is not valid.

D. Since the sample size is sufficiently​ large, the conclusion is valid.

Answer 1