Question

a sample of 237 adults is selected. the adults are classified according to voter registration status (
egistered\ or
ot registered\). they are also classified according to preferred source of current events information (\television\,
ewspapers\,
adio\, or \internet sites\). the results are given in the contingency table below. among the adults in the sample who are registered to vote, what is the relative frequency of those who prefer to obtain their information through radio? round your answer to two decimal places

Explanation:

Step1: Calculate the total number of registered adults

Add up the numbers in the "Registered" row: \(28 + 39+35 + 18=\sum_{i = 1}^{4}x_{i}\)

$$28+39 + 35+18=(28 + 39)+(35 + 18)=67+53 = 116$$

Step2: Find the number of registered adults who prefer radio

From the table, for registered adults and radio, the value is \(35\)

Step3: Calculate the relative frequency

The formula for relative frequency \(f=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, \(f=\frac{35}{116}\)

$$f=\frac{35}{116}\approx0.30$$

Answer:

\(0.30\)