**Survey of Business Operations by Size and Response Rate****Introduction:** 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. Due to not all questionnaires being 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 below.**Data Table:**| Response? | Small | Medium | Large | Total ||-----------|-------|--------|-------|-------|| Yes | 125 | 81 | 40 | 246 || No | 75 | 119 | 160 | 354 || Total | 200 | 200 | 200 | 600 |**Questions:**(a) **Which variable should be used as the explanatory variable? Explain.**(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 the business and whether or not the business replied to the survey.****Diagram Explanation:**- The table is a two-way table showing the responses ("Yes" or "No") from businesses of different sizes (Small, Medium, Large).- The total number of businesses for each size is 200, with a combined total of 600 businesses surveyed.- The table summarizes the response rate for each business size category, indicating potential differences in response behavior based on size.

Given data: Part (a) From the provided information, it is inferred that the desired investigation is targeted to validate the hypothesis that if the response rate is truly affected by the size of the business. With the interpretation, the business size is considered to be the independent variable, whereas the response is the dependent variable. So "Business size" is the explanatory variable. Part (b) The provided response is converted into percentages for each business size as follows: Small Medium Large Yes 125200=0.625=62.5% 81200=0.405=40.5% 40200=0.2=20% No 75200=0.375=37.5% 119200=0.595=59.5% 160200=0.8=80% The segmented bar chart for each business type and the response rate in terms of percentage is given as: Part (c) From the obtained segmented graph in part (b), it is clearly observed that as the business size increases, the rate of response decreases. So an association between the business size and the nature of the response (i.e., whether or not the business replied to the survey) may be inferred.