Question

A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:


Likes hamburgers Does not like hamburgers Total
Likes burritos 49 92
Does not like burritos 75 38
Total 81 205


Part A: What percentage of the survey respondents do not like both hamburgers and burritos? (2 points)

Part B: What is the marginal relative frequency of all customers that like hamburgers? (3 points)

Part C: Use the conditional relative frequencies to determine which data point has strongest association of its two factors. Use complete sentences to explain your answer. (5 points)

Answer 1

For A, you can see that the number of people who don't like burritos AND don't like hamburgers is in the square where that column and row overlap: 38. Then the total of all the customers is in the bottom right: 205. So, you can find the percentage by dividing 38/205 (and multiplying by 100)

I'm not very familiar with relative frequencies, which are needed for parts B and C... Maybe we can ask someone else who might know...

Answer 2

No problem. @mhanifa might be able to help more, maybe?

Answer 3

@smokeybrown ok ty

Answer 4

The marginal relative frequencies are found by adding the joint relative frequencies in each row and column.
To find a conditional relative frequency , divide the joint relative frequency by the marginal relative frequency.

Answer 5

Part B
Add 49 and 75

Answer 6

Fill in the table first, the totals on the right column and bottom row are sums of the previous two numbers

Answer 7

Then you may convert all numbers to percent considering 205 is 100%, (you will change the table of numbers into table of percent value of those in terms of total of 205) this will help to solve the part C