Question

Provide the null and alternative hypotheses for the following claim:

The claim is that a minority of college students vote.

Answer 1

Provide the null and alternative hypotheses for the following claim:

The claim is that a minority of college students vote.

Null hypothesis: H0: The proportion of college students vote is more than or equal to 50%.

Alternative hypothesis: Ha: The proportion of college students vote is less than 50%.

We can also write these hypotheses as below:

Null hypothesis: H0: No minority of college students vote.

Alternative hypothesis: Ha: Minority of college student vote.

H0: p ≥ 0.5 versus Ha: p < 0.5

This is a lower tailed test.