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)

A:  18.54%

B:  60.49%

C:  60.49% and 55.12%

Step-by-step explanation:

                 Likes hamburgers              Does not like                    Total

                                                               hamburgers

Likes burritos                49                                43                           92

Does not like burritos 75                                   38                          113

Total                               124                               81                          205

In percentage

                           Likes hamburgers      Does not like              Total

                                                                hamburgers      

Likes burritos              23.90                            20.98                  44.88

Does not like burritos 36.58                            18.54                   55.12

Total                               60.49                          39.51                 1.00

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

18.54 = 38/205 *100

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

60.49 = (49+75/205 )*100

         = (124/205)100

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

The highest percentage is of those who like hamburgers that is  60.49% including those who like and do not like burritos.

The next highest percentage is of who do not like burritos including both liking and not liking hamburgers is 55.12%

Then comes the percentage of those who like buritos including those liking and not like hamburgers = 44.88%

The smallest percentage is of those who do not like hamburgers including liking and not liking burritos is 39.51 %

So the strongest associations are of those who like hamburgers and those who do not like burritos 60.49% and 55.12% respectively.

boxplot

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step-by-step explanation: