11. 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. Because not all questionnaires were returned, researchers decided to investigate the relationship between the response rate and the size of the business. The data are given in the two-way table. Response? Yes No Total Small 125 75 200 Business size Medium 81 119 200 Large 40 160 200 (a) Which variable should be used as the explanatory variable? Explain. Total 246 354 600 (b) Construct a segmented bar chart to summarize the relationship between business size and whether or not the business replied to the survey. (c) Use your graph from part (b) to determine if there is an association between the size of business and whether or not the business replied to the survey.

11. 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. Because not all questionnaires were returned, researchers decided to investigate the relationship between the response rate and the size of the business. The data are given in the two-way table. Response? Yes No Total Small 125 75 200 Business size Medium 81 119 200 Large 40 160 200 (a) Which variable should be used as the explanatory variable? Explain. Total 246 354 600 (b) Construct a segmented bar chart to summarize the relationship between business size and whether or not the business replied to the survey. (c) Use your graph from part (b) to determine if there is an association between the size of business and whether or not the business replied to the survey.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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