A newsletter publisher believes that less than 26%26% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.100.10 level of significance, the advertiser failed to reject the null hypothesis. What is the conclusion regarding the publisher's claim?

Question

Mathematics

Corey Gutierrez

15 June, 02:52

A newsletter publisher believes that less than 26%26% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.100.10 level of significance, the advertiser failed to reject the null hypothesis. What is the conclusion regarding the publisher's claim?

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Caroline Mcintyre · Answer 1

when the advertiser failed to reject the null hypothesis it means that the belief of the newsletter publisher that ess than 26% of their readers own a Rolls Royce is not supported by statistical evidence at 10% significance level.

Step-by-step explanation:

given that a newsletter publisher believes that less than 26% of their readers own a Rolls Royce.

For marketing purposes, a potential advertiser wants to confirm this claim.

After performing a test at the 0.10 level of significance, the advertiser failed to reject the null hypothesis.

For this the hypotheses would be

H0: p = 0.26

Ha: p <0.26

when the advertiser failed to reject the null hypothesis it means that the belief of the newsletter publisher that ess than 26% of their readers own a Rolls Royce is not supported by statistical evidence at 10% significance level.