Q 27. - 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:

The percentage of females among the respondents was

(a) $2625$ (c) about $46\%$. (e) None of these.

(b) $4877$ (d) about 54%.

Step-by-Step Solution

Answer

The correct option is (d) about $54\%$

Step 1: Given information

The responses by gender are displayed in a two-way 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 made up roughly $54\%$ of the total number of responders. As a result, option (d) is correct. 

	Female	Males	Total
Almost No chance	119	103	222
Some chance	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 females	53.82407218	46.17592782