question 3 of 5\nselect the correct answer.\nbuilding managers recently surveyed employees of three…

question 3 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?\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.\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.
Answer
Explanation:
Step1: Analyze walking - frequency comparison
For the finance group, the number of walkers is 12. For the law firm, the number of walkers is 10. But we need to consider proportions. The total number of employees in the finance group is 94 and in the law firm is 73. Proportion of walkers in finance group is $\frac{12}{94}\approx0.128$, and in law - firm is $\frac{10}{73}\approx0.137$. So walking is not more common in the finance group.
Step2: Analyze biking - frequency comparison
For the tech company, the number of bike - riders is 38, and the sum of other transportation modes is $10 + 16+14 + 20=60$. So biking is not more common than all other modes combined.
Step3: Analyze bus - rider and subway - rider comparison
The number of bus - riders in the tech company is 16, and the number of subway - riders in the law firm is 26. So it is not more common to find a bus - rider in the tech company than a subway - rider in the law firm.
Step4: Analyze percentage comparison
The percentage of walkers who are employees at the law firm is $\frac{10}{73}\approx0.137$. The percentage of car - drivers who are employees at the tech company is $\frac{10}{98}\approx0.102$. They are not the same.