Problem

A study done on a marriage counseling course showed that the proportion of couples for which the communication program can prevent divorce is 78%. Suppose we have strong reason to believe the proportion is less than 78%, and we carry out a hypothesis test. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test.
H0:H1:

Answer

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Answer

H0:The proportion of couples for which the communication program can prevent divorce is 78%\H1:The proportion of couples for which the communication program can prevent divorce is less than 78%

Steps

Step 1 :State the null hypothesis H0 and the alternative hypothesis H1 for the test.

Step 2 :The null hypothesis H0 is a statement of no effect or no difference. In this case, it would be that the proportion of couples for which the communication program can prevent divorce is 78%.

Step 3 :The alternative hypothesis H1 is what we are testing against the null hypothesis. In this case, it would be that the proportion is less than 78%.

Step 4 :H0:The proportion of couples for which the communication program can prevent divorce is 78%\H1:The proportion of couples for which the communication program can prevent divorce is less than 78%

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