Question

The National Longitudinal Study 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 10 years?” Here is a two-way table of the responses by gender:

Opinion	Female	Male
Almost no chance	110	102
Some chance but probably not	137	166
A 50-50 chance	428	515
A good chance	753	724
Almost certain	1189	746

1. How many individuals are described in this table?
2. How many females were among the respondents?
   
   
3. The percent of females among the respondents was about %.
   
4. Your percent from the previous exercise is part of
   • the marginal distribution of sex.
   • the marginal distribution of opinion about marriage.
   • the conditional distribution of sex among adolescents with a given opinion.
   
   
5. What percent of females thought that they were almost certain to be married in the next 10 years?
   %
   
6. Your percent from the previous exercise is part of
   • the marginal distribution of opinion about marriage.
   • the conditional distribution of opinion about marriage among women.
   • the conditional distribution of sex among those who thought they were almost certain to be married.

Answer 1

a) The total number of respondents here is computed as:
= 110 + 137 + 428 + 753 + 1189 + 102 + 166 + 515 + 724 + 746

= 4870

Therefore there are a total of 4870 respondents here.

b) Total number of female respondents
= 110 + 137 + 428 + 753 + 1189

= 2617

Therefore there are a total of 2617 female respondents here.

c) % of female respondents here is computed as:
= 2617 / 4870

= 53.73%

d) The marginal distribution of gender is given as:
P(male) and P(female)

Therefore the percent from the previous exercise is part of the marginal distribution of sex.

e) percent of females who thought that they were almost certain to be married in the next 10 years is computed here as:
= Total females who were almost certain / Total females

= 1189 / 2617

= 45.43%

f) As we are only finding the percentage from total females, therefore it is the conditional distribution of opinion about marriage among women.