a group of 120 people were asked whether their income level is above or below $25,000 and whether they…

a group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. the data from the survey is shown in the venn diagram. use the venn diagram to find the missing values in the frequency table. which shows the correct values for the variables in the table? a = 18, b = 34, c = 65 a = 34, b = 18, c = 68 a = 34, b = 68, c = 47 a = 47, b = 18, c = 68 income and subscriptions below $25,000 55 18 subscriber 34 13 income and subscriptions

a group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. the data from the survey is shown in the venn diagram. use the venn diagram to find the missing values in the frequency table. which shows the correct values for the variables in the table? a = 18, b = 34, c = 65 a = 34, b = 18, c = 68 a = 34, b = 68, c = 47 a = 47, b = 18, c = 68 income and subscriptions below $25,000 55 18 subscriber 34 13 income and subscriptions

Answer

Explanation:

Step1: Find value of a

a represents the number of people with income below $25,000 who are not subscribers. From the Venn - diagram, this is the part of the "Below $25,000" circle that does not overlap with the "Subscriber" circle, so $a = 55 - 18=34$.

Step2: Find value of b

b represents the number of people who are subscribers and have income above $25,000. From the Venn - diagram, this is the non - overlapping part of the "Subscriber" circle, so $b = 34$.

Step3: Find value of c

c represents the number of people with income above $25,000. The total number of people is 120. The number of people with income below $25,000 is $55 + 18=73$. So the number of people with income above $25,000 is $120-(55 + 18)=47$. Also, we can calculate it as $34+13 = 47$.

Answer:

a = 34, b = 18, c = 68 (This option is incorrect based on our calculations. The correct option should be a = 34, b = 34, c = 47 but since it's not among the given options, there might be a mis - understanding in the problem setup or options. However, following the steps above for the values based on the Venn - diagram logic). Among the given options, there is an error in the problem as the correct values we calculated do not match any of them. If we assume some mis - labeling in the problem and go by the closest logic in the options, the closest one in terms of the process is a = 34, b = 18, c = 68 (even though c calculation is not correct as per our steps but it's the closest match among the given ones). So, if we have to choose from the given options: a = 34, b = 18, c = 68