Question

researchers asked 200 families whether or not they were homeowners and how many cars they had. their responses are summarized in the following table.

(a) what percentage of the families are not homeowners?
(b) what percentage of the families have no car or one car?

Explanation:

Part (a)

Step1: Find total non - homeowners

To find the number of non - homeowners, we add the number of non - homeowners with no car or one car and those with two or more cars. So, \(36 + 68=104\).

Step2: Calculate the percentage

The total number of families is 200. The formula for percentage is \(\text{Percentage}=\frac{\text{Number of non - homeowners}}{\text{Total number of families}}\times100\). Substituting the values, we get \(\frac{104}{200}\times100 = 52\).

Step1: Find total with no car or one car

To find the number of families with no car or one car, we add the number of homeowners with no car or one car and non - homeowners with no car or one car. So, \(20+36 = 56\).

Step2: Calculate the percentage

Using the percentage formula \(\text{Percentage}=\frac{\text{Number of families with no car or one car}}{\text{Total number of families}}\times100\). Substituting the values, we get \(\frac{56}{200}\times100=28\).

Answer:

\(52\%\)

Part (b)