Chapter 11.5, Problem 3E

To determine

To predict: the number of owners who prefer brand A dog food in a town of $1500$ dog owners.

Answer to Problem 3E

The numbers of owners who prefer brand A dog food in a town of $1500$ dog owners are $975$ .

Explanation of Solution

Given information: Consider the question given to predict the number of owners who prefer brand A dog food in a town of $1500$ dog owners when in a survey of $200$ dog owners, $130$ prefer brand A dog food.

Calculation:

Total numbers of dog owners in the town is $1500$ . To find out the number of owners who prefer brand A dog food, follow the steps given below:

Total numbers of dog owners in the survey = $200$

Number of dog owners that preferred brand A= $130$

Evaluate the percentage of dog owners that preferred brand A. Therefore,

  $\frac{130}{200}=0.65=65\%$

Hence, the percentage of dog owners that preferred brand A is $65\%$ .

Find $65\%$ of the total number of dog owners in the town.

  $65\%·\text{ 1500 dog owners}=975\text{ dog owners}$

Hence, $975$ dog owners preferred brand A.