A marketing research firm conducted a survey of companies in its state. They mai

Question

A marketing research firm conducted a survey of companies in its state. They mailed a questionnaire to 300 small companies, 300 medium-sized companies, and 300 large companies. The rate of nonresponse is important in deciding how reliable survey results are. Here are the data on response to this survey.

(A) What was the overall percent of nonresponse

(b) Describe how nonresponse is related to the size of the business. (Use percents to make your statements precise. Round your answers to one decimal place.)

% Nonresponse

Small %=

Medium %=

Large %=

(c) Draw a bar graph to compare the nonresponse percents for the three size categories. (Do this on paper. Your instructor may ask you to turn in this work.)

(d) Using the total number of responses as a base, compute the percent of responses that come from each of small, medium, and large businesses.

% Response

Small % =

Medium %=

Large %=

SIZE OF COMPANY YES NO TOTAL SMALL 178 122 300 MEDIUM 148 152 300 LARGE 117 183 300

Explanation / Answer

a)

(122+152+183)/900 = 0.5077=50.77%

b)

Nonresponse increases as the size of the business increases

d)

Of the 443 totalresponses,

178/443 = 40.18% came from small businesses,

148/443 = 33.41% from medium-sized businesses,

and 117/443 = 26.41% from large businesses

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