Answer:
Option D is correct.
Failure to reject the null hypothesis means that there is not sufficient evidence to support the claim that the mean attendance is greater than 694.
Step-by-step explanation:
For hypothesis testing, the first thing to define is the null and alternative hypothesis.
The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.
It usually maintains that random chance is responsible for the outcome or results of any experimental study/hypothesis testing.
While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.
It usually maintains that other than random chance, there are significant factors affecting the outcome or results of the experimental study/hypothesis testing.
For this question, the owner of a football team claims that the average attendance at games is over 694, and he is therefore justified in moving the team to a city with a larger stadium.
So, the null hypothesis would be that there isn't enough evidence to support the claim that the mean attendance is greater than 694.
That is, the mean isn't greater than 694; the mean is less than or equal to 694.
While the alternative hypothesis would be that there is sufficient evidence to support the claim that the mean attendance is greater than 694.
Mathematically,
The null hypothesis is represented as
H₀: μ₀ ≤ 694
The alternative hypothesis is represented as
Hₐ: μ₀ > 694
Failure to reject the null hypothesis means that the null hypothesis is true. Hence, the answer choice picked is the obvious correct answer.
Hope this Helps!!!
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