Question

A formal hypothesis test is to be conducted to test the claim that the wait times at the Space Mountain ride in Walt Disney World have a mean equal to 37 minutes. Complete parts​ (a) through​ (d)

Answer 1

a. The null hypothesis, denoted as
`\(H_0\)`, asserts that the mean wait time at the Space Mountain ride is equal to 37 minutes.

b. The alternative hypothesis, denoted as
`\(H_a\)` or
`\(H_1\)`, challenges this claim, suggesting that the mean wait time is not equal to 37 minutes.

c. The possible conclusions about the null hypothesis are C. Reject the null hypothesis. and A. Fail to reject the null hypothesis.

d. It is possible to conclude that "there is sufficient evidence to support the claim that the mean wait time is equal to 49 minutes" No. Hypothesis tests can never find sufficient evidence to support a claim; they can only find sufficient evidence to warrant rejection of a claim.

a. The null hypothesis, denoted as
`\(H_0\)`, asserts that the mean wait time at the Space Mountain ride is equal to 37 minutes.

Symbolically,
`\(H_0: \mu = 37\)`, where \(\mu\) represents the population mean.

b. The alternative hypothesis, denoted as
`\(H_a\)` or
`\(H_1\)`, challenges this claim, suggesting that the mean wait time is not equal to 37 minutes. Symbolically,
`\(H_a: \mu \\eq 37\).`

c. The possible conclusions about the null hypothesis are:

- C. Reject the null hypothesis.

- A. Fail to reject the null hypothesis.

d. It is possible to conclude that "there is sufficient evidence to support the claim that the mean wait time is equal to 49 minutes" if the hypothesis test yields a statistically significant result.

However, this evidence would support the alternative hypothesis
`\(H_a\)` rather than the claim made in the null hypothesis
`\(H_0\)`, .

Therefore, the correct answer is B.

No. Hypothesis tests can never find sufficient evidence to support a claim; they can only find sufficient evidence to warrant rejection of a claim.

The probable question may be:

A formal hypothesis test is to be conducted to test the claim that the wait times at the Space Mountain ride in Walt Disney World have a mean equal to 37 minutes. Complete parts​ (a) through​ (d)

a. What is the null hypothesis, and how is it denoted?

b. What is the alternative hypothesis, and how is it denoted?

c. What are the possible conclusions that can be made about the null hypothesis? Select all that apply.

A. Fail to reject the null hypothesis.

B. Accept the alternative hypothesis.

C. Reject the null hypothesis.

D. Accept the null hypothesis.

E. Reject the alternative hypothesis.

F. Fail to reject the alternative hypothesis.

d. Is it possible to conclude that "there is sufficient evidence to support the claim that the mean

wait time is equal to 49 minutes"?

A. Yes.

B. No. Hypothesis tests can never find sufficient evidence to support a claim; they can only find sufficient evidence to warrant rejection of a claim.