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 49 minutes. complete parts (a) through (d).
□ f. accept 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. no. hypothesis tests can only find sufficient evidence to support a claim when the claim does not contain equality.
○ b. yes.
○ c. no. hypothesis tests can never find sufficient evidence to support a claim; they can only find sufficient evidence to warrant rejection of a claim.
○ d. no. hypothesis tests can only find sufficient evidence to support a claim when the claim contains equality.

Explanation:

Hypothesis testing is designed to either reject or fail to reject the null hypothesis, not to accept or prove it. Claims with equality (like the mean being equal to 49 minutes) are set as the null hypothesis. We cannot find sufficient evidence to support a null hypothesis claim; we can only find evidence to reject it, or fail to reject it without confirming it is true. Option A correctly states that hypothesis tests cannot support claims with equality, as they only support claims (alternative hypotheses) that do not include equality.

Answer:

A. No. Hypothesis tests can only find sufficient evidence to support a claim when the claim does not contain equality.