Math  /  Data & Statistics

QuestionFormulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. The owner of a football team claims that the average attendance at games is over 523 , and he is therefore justifled 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 nontechnical terms. A. There is sufficient evidence to support the claim that the mean attendance is greater than 523 B. There is not sufficient evidence to support the claim that the mean attendance is greater than 523 C. There is sufficient evidence to support the claim that the mean attendance is less than 523 D. There is not sufficient evidence to support the claim that the mean attendance is less than 523 .

Studdy Solution

STEP 1

1. The null hypothesis H0 H_0 is that the mean attendance is 523 \leq 523 .
2. The alternative hypothesis Ha H_a is that the mean attendance is >523 > 523 .
3. The conclusion of the hypothesis test is a failure to reject the null hypothesis.

STEP 2

1. Interpret the meaning of "failure to reject the null hypothesis."
2. Formulate the conclusion in nontechnical terms.

STEP 3

Interpret the meaning of "failure to reject the null hypothesis":
- "Failure to reject the null hypothesis" means that there is not enough statistical evidence to support the alternative hypothesis.

STEP 4

Formulate the conclusion in nontechnical terms:
- Since we failed to reject the null hypothesis, we do not have sufficient evidence to support the claim that the mean attendance is greater than 523.
The correct conclusion is:
B. There is not sufficient evidence to support the claim that the mean attendance is greater than 523 \text{B. There is not sufficient evidence to support the claim that the mean attendance is greater than 523}

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