Question

In: Statistics and Probability

The National Longitudinal Study of Adolescent Health interviewed several thousand teens (grades 7 to 12). One...

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 101 113
Some chance but probably not 142 169
A 50-50 chance 454 521
A good chance 738 722
Almost certain 1163 744
  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 conditional distribution of sex among those who thought they were almost certain to be married.
    • the marginal distribution of opinion about marriage.
    • the conditional distribution of opinion about marriage among women.

Solutions

Expert Solution

a)number of individuals in table=101+142+454+738+1163+113+169+521+722+744=4867

therfore, 4867 individuals.

b)female respondents=101+142+454+738+1163=2598

c)The percent of females among the respondents =[(number of females)/(total respondents)]*100

=(2598/4867)*100=53.38%

therefore,Percent of females among the respondents=53.38%

d)Percent from the previous exercise is part of marginal distribution of opinion about marriage because there is no conditions given in the question, so this is simply marginal distribution of opinion about marriage.   

so, option B is correct-the marginal distribution of opinion about marriage.

e)Number of females who thought that they were almost certain to be married in the next 10 years is 1163.

total number of female respondents is 2598.

so, the % of females who thought that they were almost certain to be married in the next 10 years =(1163/2598)*100 = 44.77%

orchestra answered 1 year ago
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