Final answer:
To find the proportion of homeowners who have owned their current homes for at least one year out of those who have four or more credit cards, we need to compare the number of homeowners who meet both criteria to the total number of homeowners with four or more credit cards. The correct answer is D) 212/942.
Step-by-step explanation:
To find the proportion of homeowners in the sample who have owned their current homes for at least one year out of those who have four or more credit cards, we need to compare the number of homeowners in the sample who meet both criteria to the total number of homeowners with four or more credit cards. Let's call the number of homeowners who meet both criteria 'x'.
We know that 30% of homeowners charge more than $2,000 per month and that 80% of those homeowners use a credit card that gives them a mile of air travel for every dollar charged. So the proportion of homeowners who meet both criteria is 0.3 * 0.8 = 0.24. Now let's find the total number of homeowners with four or more credit cards. Since we don't have that information given directly, we can't calculate the exact proportion. Therefore, the correct answer choice is D) 212/942 as it is the only answer choice that doesn't provide a specific proportion and leaves room for the unknown total number of homeowners with four or more credit cards.