Question

A sample of 353 people is surveyed. The people are classified according to political affiliation ("Democrat", "Republican", or "Independent"). They are also

classified according to opinion on a bill ("in favor of", "opposed to", or "indifferent to"). The results are given in the contingency table below.
In favor of
Opposed to
Indifferent to
Democrat
37
33
47
Republican
29
49
35
Independent
41
41
41
What is the relative frequency of respondents who are Republican?
Round your answer to two decimal places.
Х
?

Answer 1

`Relative\ Frequency = 0.32`

Explanation:

Given

The table in the attached diagram

Total population of the survey = 353

Required

Relative frequency of respondents who are Republican

First we consider the data in the republican row; this is presented as follows;

Republican: 29 ------ 49 ----- 35

Next, we add up this data to give the total number of respondents who are republicans

Republicans = 29 + 49 + 35

Republican = 113

Recall that

Total population of the survey = 353

The relative frequency is calculated as follow;

`Relative\ Frequency = (Republican)/(Total\ Population\ of\ the\ survey)`

`Relative\ Frequency = (113)/(353)`

`Relative\ Frequency = 0.3201133145`

`Relative\ Frequency = 0.32` (Approximated)