Question

As of 2012, the proportion of students who use a MacBook as their primary computer is 0.4. You believe that at your university the proportion is actually less than 0.4. If you conduct a hypothesis test, what will the null and alternative hypotheses be

Answer 1

The null hypothesis is
`H_0: p = 0.4`

The alternative hypothesis is
`H_a: p < 0.4`

Explanation:

As of 2012, the proportion of students who use a MacBook as their primary computer is 0.4.

At the null hypothesis, we test if the proportion is of 0.4, that is:

`H_0: p = 0.4`

You believe that at your university the proportion is actually less than 0.4.

This means that at the alternative hypothesis, we test if the proportion is less than 0.4, that is:

`H_a: p < 0.4`