Question

The owner of a football team claims that the average attendance at games is over 523, and he is therefore justified in moving the team to a city with a larger stadium. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in non-technical terms.

A. There is sufficient evidence to support the claim that the mean attendance is greater than 523.

B. There is sufficient evidence to support the claim that the mean attendance is less than 523.

C. There is not sufficient evidence to support the claim that the mean attendance is greater than 523.

D. There is not sufficient evidence to support the claim that the mean attendance is less than 523

Answer 1

The claim of the study is that the average attendance at games is over 523.

Under the claim the null and alternative hypotheses are,

$H_0 : \mu = 523$

$H_0 : \mu >523$

After the performing the test, the test yields the results that, fail to reject the null hypothesis.

As null hypothesis is fail to be rejected, then it can be concluded that there is no sufficient evidence to support the claim that the average attendance at games is over 523.

Therefore the correct answer is C: There is not sufficient evidence to support the claim that the mean attendance is greater than 523.

Answer 2

The conclusion in non-technical terms is The correct answer is C: There is not enough proof to support the claim that the mean attendance is more than 523

Supporting the claim:

The claim of the study represents the average attendance at games is over 523. Under the claim the null and alternative hypotheses are,

$H_0 :\mu = 523\\\\H_0 :\mu > 523$

After performing the test, the test yields from which the results occurs, fail to reject the null hypothesis. Since null hypothesis is fail to be rejected so there is no evidence. Therefore, the correct option is C.

Find out more information about the  hypothesis here:

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