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 Response Size of company Yes No Total Small Medium Large 175 125 300 140 160 300 118 182 300 (a) What was the overall percent of nonresponse? (Round your answer to one decimal place.) (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.) % Non response Small Medium Large

Explanation / Answer

a) total numbers = 300+300+300 = 900

non responders are 125+160+182 = 467

percentage = 467/900 = 51.88%

b)

small = 125/300 = 41.6%

medium = 160/300 = 53.33%

large = 182/300 = 60.66%

as size of business increases , non responders also increase

c)

total numbers are 900

so 125/900 ,160/900 and 182/900

13.8% , 17.7% and 20.22%

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