A newsletter publisher believes that less than 58% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.05 level of significance, the advertiser failed to reject the null hypothesis. What is the conclusion regarding the publisher's claim?a) There is sufficient evidence at the 0.05 level of significance that the percentage is less than 58%.b) There is not sufficient evidence at the 0.05 level of significance to say that the percentage is less than 58%.

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Answer:

Option B) There is not sufficient evidence at the 0.05 level of significance to say that the percentage is less than 58%.

Step-by-step explanation:

We are given the following in the question:

p = 58% = 0.58

Alpha, α = 0.05

First, we design the null and the alternate hypothesis  

[tex]H_{0}: p \geq 0.58\\H_A: p < 0.58[/tex]

The null hypothesis stated that the 58% or more of the readers own a Rolls Royce.

The alternate hypothesis states that less than 58% of the readers own a Rolls Royce.

The advertiser failed to reject the null hypothesis.

Thus, the null hypothesis was accepted. Thus, 58% or more of the readers own a Rolls Royce.

Thus, we can draw the conclusion:

Option B) There is not sufficient evidence at the 0.05 level of significance to say that the percentage is less than 58%.