Question

A newsletter publisher believes that above 41% of their readers own a personal computer. Is there sufficient evidence at the 0.10 level to substantiate the publisher's claim? State the null and alternative hypotheses for the above scenario.

Answer 1

Null and alternative hypothesis:

`H_0: \pi=0.41\\\\H_a:\pi>0.41`

Explanation:

To perform this hypothesis test we need a sample outcome that is not given in the question (sample size and proportion).

Although, the null and alternative hypothesis can be stated:

- The alternative hypothesis reflects the publisher belief, stating that the population proportion of readers that own a personal computer is significantly higher than 0.41.

- The null hypothesis states the opposite: that the proportion is not signifcantly higher than 0.41.

This can be written as:

`H_0: \pi=0.41\\\\H_a:\pi>0.41`