Question

1. a recent study looked into the relationship between political views and opinions about nuclear energy. a survey administered to 100 randomly selected adults asked their political leanings as well as their approval of nuclear energy. the results are below:

what is the marginal distribution of political leanings?
(a) liberal: 27%, conservative: 19%, independent: 54%
(b) liberal: 10%, conservative: 15%, independent: 20%
(c) liberal: 10%, conservative: 9%, independent: 8%
(d) liberal: 45%, conservative: 27%, independent: 28%
(e) liberal: 17%, conservative: 4%, independent: 34%

Explanation:

Step1: Calculate total for each political leaning

For Liberal: \(10 + 9+8=27\)
For Conservative: \(15 + 2+2 = 19\)
For Independent: \(20+16 + 18=54\)

Step2: Calculate percentage for each political leaning

Total number of adults \(n = 100\)
Percentage of Liberal: \(\frac{27}{100}\times100\%=27\%\)
Percentage of Conservative: \(\frac{19}{100}\times100\%=19\%\)
Percentage of Independent: \(\frac{54}{100}\times100\%=54\%\)

Answer:

A. Liberal: 27%, Conservative: 19%, Independent: 54%