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).
a. what is the null hypothesis, and how is it denoted?
: minute(s)
(type an integer or a decimal. do not round.)
b. what is the alternative hypothesis, and how is it denoted?
: minute(s)
(type an integer or a decimal. do not round.)
c. what are the possible conclusions that can be made about the null hypothesis? select all that apply.
□ a. fail to reject the alternative hypothesis.
□ b. reject the null hypothesis.
□ c. reject the alternative hypothesis.
□ d. accept the alternative hypothesis.
□ e. accept the null hypothesis.

Explanation:

• Part (a): The null hypothesis \(H_0\) is a statement of equality. In this case, since the claim is about the mean wait - time, the null hypothesis is that the population mean \(\mu\) is equal to 30 minutes.
• Part (b): The alternative hypothesis \(H_1\) is a statement that contradicts the null hypothesis. For a two - tailed test (since there is no indication of a one - sided claim like "greater than" or "less than" in the problem statement), the alternative hypothesis is that the population mean \(\mu\) is not equal to 30 minutes.
• Part (c): In hypothesis testing, we either reject the null hypothesis \(H_0\) or fail to reject the null hypothesis \(H_0\). We do not "accept" a hypothesis in the strict sense of hypothesis testing (because we are making inferences about a population based on a sample, and there is always some uncertainty).

Answer:

a. \(H_0:\mu = 30\)
b. \(H_1:\mu
eq30\)
c. B (Reject the null hypothesis)