a newsletter publisher believes that 333% of their readers own a rolls royce. a testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. after performing a test at the 0.100.10 level of significance, the testing firm fails to reject the null hypothesis. what is the conclusion regarding the publisher's claim?

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21-10-2022
Mathematics

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a newsletter publisher believes that 333% of their readers own a rolls royce. a testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. after performing a test at the 0.100.10 level of significance, the testing firm fails to reject the null hypothesis. what is the conclusion regarding the publisher's claim?

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saishreechandan907 saishreechandan907 · Answer 1 · 2022-11-03T02:44:11-04:00

There is sufficient evidence at the 0.10 level of significance that the percentage is not 33%.

According to the newsletter publisher that 33% of their readers own a Rolls Royce.

The testing firm says that this is an inaccurate issue and performs a test to dispute the publisher's claim, after performing the test at the 0.10 level of significance the results are as follows,

Null hypothesis:

H₀ : p = 0.33

Alternative hypothesis:

H₁ : p ≠ 0.33

We reject H₀ at the 0.10 level of significance.

Therefore, There is sufficient evidence at the 0.10 level of significance that the percentage is not 33%.

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