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 29 41
Does not like burritos 54 135
Total 110 205

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

A. The percentage of the survey respondents that do not like both hamburgers and burritos is 26.34%.

B. The marginal relative frequency of all customers who like hamburgers is 53.66%.

C. Using the conditional relative frequencies of the data point, the strongest association of its two factors shows liking hamburgers and not liking burritos is the case.

Data and Calculations:

The completion of the table for the data analysis is as follows:

                          Likes Hamburgers   Does not like Hamburgers    Total

Likes burritos                    29                                41                           70

Does not like burritos       81                                54                         135

Total                                  110                               95                        205

A. The percentage of the survey respondents that do not like both hamburgers and burritos is 26.34% (54/205 x 100).

B. The marginal relative frequency of all customers who like hamburgers is 53.66% (205 - 95)/205 X 100.

C. The conditional relative frequencies:

Likes of hamburgers = 53.66% (110/205 x 100)

Dislikes of hamburgers = 46.34% (95/205 x 100)

Likes of burritos = 34.15% (70/205 x 100)

Dislikes of burritos = 65.85% (135/205 x 100).

Thus, we can conclude that based on the conditional relative frequencies more customers of the food truck like hamburgers (53.66%) compared to those who like burritos (34.15%).

Learn more about relative frequencies at brainly.com/question/26645503

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