Question

a recent study at a university showed that the proportion of students who commute more than 15 miles to school is 20%. suppose we have good reason to suspect that the proportion is greater than 20%, and we carry out a hypothesis test. state the null hypothesis $h_0$ and the alternative hypothesis $h_1$ that we would use for this test.
$h_0$:
$h_1$:

Explanation:

Step1: Define null hypothesis

The null hypothesis $H_0$ is a statement of no - effect or no - difference. Here, it assumes the proportion is equal to the previously known value. So $H_0:p = 0.20$.

Step2: Define alternative hypothesis

The alternative hypothesis $H_1$ is what we suspect to be true. Since we suspect the proportion is greater than 20%, $H_1:p>0.20$.

Answer:

$H_0:p = 0.20$
$H_1:p>0.20$