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Lesson: 10.1 Fundamentals of Hypothesis...
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Question 12 of 20, Step 1 of 1
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A newsletter publisher believes that less than $72 \%$ of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.02 level of significance, the advertiser failed to reject the null hypothesis.

What is the conclusion regarding the publisher's claim?

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There is sufficient evidence at the 0.02 level of significance that the percentage is less than $72 \%$.
There is not sufficient evidence at the 0.02 level of significance to say that the percentage is less than $72 \%$.

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Final Answer: \(\boxed{\text{'There is not sufficient evidence at the 0.02 level of significance to say that the percentage is less than 72%.'}}\)

Steps

Step 1 :The question is asking for the conclusion regarding the publisher's claim that less than 72% of their readers own a Rolls Royce, given that a test was performed at the 0.02 level of significance and the advertiser failed to reject the null hypothesis.

Step 2 :In hypothesis testing, the null hypothesis is usually a statement of no effect or no difference. If the advertiser failed to reject the null hypothesis, it means that there is not enough evidence to support the publisher's claim.

Step 3 :Therefore, the conclusion should be: 'There is not sufficient evidence at the 0.02 level of significance to say that the percentage is less than 72%.'

Step 4 :This is a theoretical question and does not require Python code to solve.

Step 5 :Final Answer: \(\boxed{\text{'There is not sufficient evidence at the 0.02 level of significance to say that the percentage is less than 72%.'}}\)

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