Question

a sample of 258 people is surveyed. the people are classified according to political affiliation (\democrat\,
epublican\, 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.

among the respondents who are opposed to the bill, what is the relative frequency of independents?
round your answer to two decimal places.

Explanation:

Step1: Find the number of people opposed to the bill

Add the number of Democrats, Republicans, and Independents opposed to the bill: \(16 + 48+32\)
$$16 + 48+32=96$$

Step2: Find the number of Independents opposed to the bill

From the table, the number of Independents opposed to the bill is \(32\)

Step3: Calculate the relative frequency

The formula for relative frequency is \(\text{Relative Frequency}=\frac{\text{Number of Independents opposed}}{\text{Total number opposed}}\)
Substitute the values: \(\frac{32}{96}\)
$$\frac{32}{96}=\frac{1}{3}\approx0.33$$

Answer:

\(0.33\)