Question 9.31

9.31 Nonresponse in a survey.

A business school conducted a survey of companies in its state. It mailed a questionnaire to 200 small companies, 200 medium-sized companies, and 200 large companies. The rate of nonresponse is important in deciding how reliable survey results are. Here are the data on response to this survey.

nresp

Small Medium Large
Response 124 80 41
No response 76 120 159
Total 200 200 200

Note that you answered parts (a) through (c) of this exercise if you completed Exercise 2.112 (page 115).

  1. What was the overall percent of nonresponse?
  2. Describe how nonresponse is related to the size of the business. (Use percents to make your statements precise.)
  3. Draw a bar graph to compare the nonresponse percents for the three size categories.
  4. State and test an appropriate null hypothesis for th data.

9.31

(a) 59.17%.
(b) Larger business have higher nonresponse rates. 79.5% of large, 60% of medium, and 38% of small businesses did not respond.
(d) There is no association between size of business and response rate, There is an association between size of business and response rate. . The data provide evidence of an association between size of business and response rate.