Question

A newsletter publisher believes that 60`% 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 0.020.02 level of significance, the testing firm fails to reject the null hypothesis. What is the conclusion regarding the publisher's claim

Answer 1

The conclusion, since the null hypothesis was not rejected, is that the proportion of readers of the newsletter who own a Rolls Royce is significantly close to 0.6.

Explanation:

A newsletter publisher believes that 60`% of their readers own a Rolls Royce.

This means that the null hypothesis is:
`H_(0): p = 0.6`

That is, that the proportion of their readers who own a Rolls Royce is of 0.6.

A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim.

The alternate hypothesis is:
`H_(a): p \\eq 0.6`

After performing a test at the 0.020.02 level of significance, the testing firm fails to reject the null hypothesis. What is the conclusion regarding the publisher's claim?

The conclusion, since the null hypothesis was not rejected, is that the proportion of readers of the newsletter who own a Rolls Royce is significantly close to 0.6.