Question

a study done on a marriage - counseling course showed that the proportion of couples for which the communication program can prevent divorce is 79%. suppose we have strong reason to believe the proportion is less than 79%, 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 status - quo. Here, it is the proportion we are comparing against. So, $H_0:p = 0.79$.

Step2: Define alternative hypothesis

The alternative hypothesis $H_1$ is what we suspect to be true instead of the null hypothesis. Since we believe the proportion is less than 79%, $H_1:p<0.79$.

Answer:

$H_0:p = 0.79$
$H_1:p<0.79$