Chapter 11.5, Problem 5E

To determine

To predict: the number of families who own a DVD player in a town of $6000$ families.

Answer to Problem 5E

The numbers of families who own a DVD player in a town of $6000$ families are $1050$ .

Explanation of Solution

Given information: Consider the question given to predict the numbers of families who own a DVD player in a town of $6000$ families when in a survey of $200$ families, $35$ families own a DVD player

Calculation:

Total numbers of families in the town is $6000$ . To find out the number of owners who own a DVD player, follow the steps given below:

Total numbers of families in the survey = $200$

Number of families who own a DVD player = $35$

Evaluate the percentage of families who own a DVD player. Therefore,

  $\frac{35}{200}=0.175=17.5\%$

Hence, the percentage of dog owners that preferred brand A is $17.5\%$ .

Find $17.5\%$ of the total number of dog owners in the town.

  $17.5\%·\text{ 6000 families}=1050\text{ families}$

Hence, the numbers of families who own a DVD player in a town of $6000$ families are $1050$ .