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 30 minutes. complete parts (a) through (d).

d. accept the alternative hypothesis.
e. accept the null hypothesis.
f. fail to reject the null hypothesis.
d. is it possible to conclude that \there is sufficient evidence to support the claim that the mean wait time is equal to 30 minutes\?
a. no. hypothesis tests can only find sufficient evidence to support a claim when the claim does not contain equality.
b. no. hypothesis tests can only find sufficient evidence to support a claim when the claim contains equality.
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. yes.

Explanation:

In hypothesis testing, the null hypothesis \(H_0\) is a statement of equality (in this case, \(\mu = 30\) minutes). Hypothesis tests are designed to assess evidence against the null hypothesis. We can either reject \(H_0\) or fail to reject \(H_0\). We do not "accept" \(H_0\) in the strict sense. When the claim is the null hypothesis (a claim of equality), we cannot say we have "sufficient evidence to support the claim" in the same way as for a non - equality claim. Hypothesis tests can only find sufficient evidence to warrant rejection of a claim (when the test statistic falls in the rejection region), not to positively "support" a claim of equality in the sense of proving it true.

Answer:

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