Q 28. - The Practice of Statistics for AP

Question

The National Survey of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next ten years?” Here is a two-way table of the responses by gender:

Your percent from the previous exercise is part of

(a) the marginal distribution of females.

(b) the marginal distribution of gender.

(c) the marginal distribution of opinion about marriage.

(d) the conditional distribution of gender among adolescents with a given opinion.

(e) the conditional distribution of opinion among adolescents of a given gender.

Step-by-Step Solution

Answer

The correct option is (b) the marginal distribution of gender.

Step 1: Given information

Different percentages of male-female respondents are provided in the table. 

	Female	Male
Almost no chance	119	103
Some chance, but probably not	150	171
A 50-50 chance	447	512
A good chance	735	710
Almost certain	1174	756

Step 2: Concept

There is a real-world scenario for a statistical problem. The four processes of state, plan, do, and conclusions can be used to organize a variety of situations. 

Step 3: Explanation

The following are the results of a countrywide study of adolescent health interviews of youths (males and females): 

	Females	Males	Total
Almost no chance	119	103	222
Some chance, but probably not	150	171	321
A 50-50 chance	447	512	959
A good chance	735	710	1445
Almost certain	1174	756	1930
Total	2625	2252	4877
Percentage of males or female	53.82407218	46.17592782

The gender marginal distribution includes the percentage of females among the respondents. As a result, the correct option is (b).