Question

a sample of statistics students were asked to report their marital status, and whether or not they like professional football. the results are summarized in the table given.

	like	dont like	total
married	39	28	67
total	217	161	378

we can use this table to calculate that 57.2% of the single students like professional football. this calculation is part of ______.

• the conditional distribution of football interest among single students
• the marginal distribution of football interest
• the marginal distribution of marital status
• the conditional distribution of marital status among students who like football

Explanation:

To determine the correct option, we analyze the calculation. The percentage \( 57.2\% \) is calculated as \( \frac{178}{311}\times100\% \) (since 178 single students like football and 311 is the total number of single students). This represents the proportion of football interest (liking football) among single students, which is a conditional distribution of football interest given the condition of being single. So the correct option is "the conditional distribution of football interest among single students".

Answer:

the conditional distribution of football interest among single students