question 1 of 5\nselect the correct answer.\nbuilding managers recently surveyed employees of three…

question 1 of 5\nselect the correct answer.\nbuilding managers recently surveyed employees of three different companies regarding their method of transportation to work each day. the results of the survey are shown in the two - way frequency table below.\n| | car | bus | walk | bike | subway | total |\n|--|--|--|--|--|--|--|\n| tech company | 10 | 16 | 14 | 38 | 20 | 98 |\n| law firm | 27 | 8 | 10 | 2 | 26 | 73 |\n| finance group | 18 | 22 | 12 | 8 | 34 | 94 |\n| total | 55 | 46 | 36 | 48 | 80 | 256 |\nwhich conclusion can the building managers draw based on this data?\nit is more common to find a bus rider who works at the tech company than a person on the subway who works at the law firm.\nthe percentage of walkers who are employees at the law firm is the same as the percentage of car drivers who are employees at the tech company.\nwalking to work is more common among employees at the finance group than employees at the law firm.\nriding a bike to work is more common among tech company employees than all the other modes of transportation combined.
Answer
Explanation:
Step1: Calculate bus - tech and subway - law frequencies
Bus - tech frequency: 16. Subway - law frequency: 26. Since 16 < 26, the first option is wrong.
Step2: Calculate percentage of walkers at law firm and car - drivers at tech company
Percentage of walkers at law firm: $\frac{10}{73}\times100%\approx13.7%$. Car - drivers at tech company: $\frac{10}{98}\times100%\approx10.2%$. They are not the same, so the second option is wrong.
Step3: Compare walking frequencies at finance group and law firm
Walking frequency at finance group: 12. Walking frequency at law firm: 10. Since 12>10, walking to work is more common among employees at the finance group than employees at the law firm.
Step4: Check bike - tech frequency vs other modes combined at tech company
Bike - tech frequency: 38. Other modes combined at tech company: 10 + 16+14 + 20=60. Since 38 < 60, the fourth option is wrong.