Q 30. - 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 gender.

(b) the marginal distribution of opinion about marriage.

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

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

(e) the conditional distribution of “Almost certain” among females. 

Step-by-Step Solution

Answer

The correct option is (e) the conditional distribution of "Almost certain" among females.

Step 1: Given information

The given picture displays the responses by gender 

	Female	Male
Almost no chance	119	103
Some chance	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

	F	M
	No.	Percentage	No.	Percentage
Almost no chance	119	119/2625=4.53%	103	103/2252=4.57%
Some chance, but probably not	150	150/2625=5.71%	171	171/2252=7.59%
A 50-50 chance	447	447/2625=17.03%	512	512/2252=22.74%
A good chance	735	735/2625=28.00%	710	710/2252=31.53%
Almost certain	1174	1174/2625=44.72%	756	756/2252=33.57%
Total	2625	100%	2252	100%
Percentage	2625/4877=53.82%		2252/4877=46.18%

The percentage is a portion of the conditional distribution of females who are "almost certain."

As a result, the correct option is (e).