Question

In Example 12.9 , we made the following statement: If no association exists between marital status and alcohol consumption, the proportion of married adults who abstain is the same as the proportion of all adults who abstain. Explain why that statement is true.

Short answer

If there is no association exists between marital status of the adults and alcohol consumption, the conditional distribution for alcohol consumption within married adults will be as same as the marginal distribution of alcohol consumption in adults.

So the given statement is true since the conditional distribution is as same as the marginal distribution..

Step-by-step solution

Step 1. Given Information.

The statement:

"If no association exists between marital status and alcohol consumption, the proportion of married adults who abstain is the same as the proportion of all adults who abstain. "

Step 2. Explanation.

If there is no association exists between marital status of the adults and alcohol consumption, the conditional distribution for alcohol consumption within married adults will be as same as the marginal distribution of alcohol consumption in adults.

So the given statement is true since the conditional distribution is as same as the marginal distribution..