Chapter 1, Problem 9PT

To determine

To find:The percent of small companies receiving questionnaires responded.

Answer to Problem 9PT

  $62.5\%$ Of small companies receiving questionnaire responded.

Explanation of Solution

Given: refer to the following setting. A survey was designed to study how business operations vary according to their size. Companies were classified as small, medium, or large. Questionnaires were sent to 200 randomly selected businesses of each size. Since not all questionnaires in a survey of this type are returned, re-searchers decided to investigate the relationship between the response rate and the size of the business. The data are given in the following two-way table:

Size	Response	No Response	Total
Small	125	75	200
Medium	81	119	200
Large	40	160	200

Formula Used:

Calculation:

From the given information, we have 125

According to given data, we have 125 small companies out of 200 questions responded. So the percent of these responses is calculated as follows:

  $\begin{array}{l}\text{Percent=}\frac{125}{200}\times 100\\ \text{ = 0}\text{.625}\times \text{100}\\ \text{ = 62}\text{.5\%}\end{array}$

Therefore, $62.5\%$ of small companies receiving questionnaire responded.

Conclusion:Thus option (e) 62.5 is the correct answer.