Question

A newsletter publisher believes that 45% of their readers own a personal computer. A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. After performing a test at the 0.02 level of significance, the testing firm decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim

Answer 1

The conclusion regarding the publisher's claim was that his claim was inaccurate.

Explanation:

We are given that a newsletter publisher believes that 45% of their readers own a personal computer. A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim.

Let p = % of their newsletter readers who own a personal computer

So, Null Hypothesis,
`H_0` : p = 45% {means that the publisher's claim was true}

Alternate Hypothesis,
`H_1` : p
`\\eq` 45% {means that the publisher's claim was not true}

Now, we are given that after performing a test at the 0.02 level of significance, the testing firm decides to reject the null hypothesis.

This means that at 0.02 level of significance, we must have sufficient evidence to reject null hypothesis and due to which we conclude that the publisher's claim that 45% of their readers own a personal computer was not true.

Hence, the conclusion regarding the publisher's claim is that it was not true.