Q 31. - 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:

What percent of those who thought they were almost certain to be married were female?

(a) About $16\%$ (c) About $40\%$ (e) About $61\%$

(b) About $24\%$ (d) About $45\%$

Step-by-Step Solution

Answer

The correct option is (e) About$61\%$

Step 1: Given information

The given picture displays the responses by gender 

	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

The distribution of a category variable is displayed using pie charts and bar graphs. Any set of quantities measured in the same units can be compared using bar graphs. It's a good idea to ask yourself, "What do I see?" when looking at any graph. 

Step 3: Explanation

The following are the results of a national survey of adolescent health interviews of boys and females:  

	Almost no chance	Some chance but probably	A 50-50 chance
Gender	No's	Percentage	No's	Percentage	No's	Percentage
Females	119	53.60	150	46.73	447	46.61
Males	103	46.40	171	53.27	512	53.39
Total	222	100	321	100	959	100
	A good chance	Almost certain
Gender	No's	Percentage	No's	Percentage
Females	735	50.87	1174	60.83
Males	710	49.13	756	39.17
Total	1445	100	1930	100

Females made up about $61$ percent of those who believed they were almost certain to marry. As a result, option (e) is the correct answer.