Question

Do not perform the tests! For each of the following scenarios answer the following:

A) Write the null and alternative hypothesis.

B) Is it Z or T distribution?

C) Is the test right, left, or two-tailed?

D) What calculator function is used?

E) What decision would you make based on the P-Value that resulted when I did the test? Use a level of significance of 0.05. Why?

F) What would your answer be to the question asked in the scenario?\

The owner of a professional basketball team claims that the mean attendance at games is at greater than 18,000, and therefore the team needs a new arena. A sample of 49 games was looked at, sample mean and sample standard deviation were calculated, and a test was done. The P-value is 1.94E-4. Does the evidence support the owner of the team?

Answer 1

(A)  owner of a professional basketball team claims that the mean attendance at games is at greater than 18,000

So, Null hypothesis

and alternate hypothesis

(B) it is t distribution because the population variance is unknown

(C) It is a right tailed hypothesis because the claim is that the mean is higher than 18000

(D) We will use T TEST under STAT in Ti calculator to calculate the t test statistics

(E) P value given is 1.94E-4, which is less than 0.05 significance level. This result in rejection of null hypothesis.

(F) Yes, there is sufficient evidence to support the claim made by the owner of the professional basketball team because the result is significant at 0.05 level of significance.