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 did not like either hamburgers or burritos? (2 points) Part B: Create a relative frequency table and determine what percentage of students who like hamburgers also like burritos. (3 points) Part C: Use the conditional relative frequencies to determine which two data point has strongest association of its two factors. Use complete sentences to explain your answer. (5 points)

P. S Answer quickly! I know A and B so please just answer C for me please!!!

Please read the answers below.

Step-by-step explanation:

1. Let's complete the information in the frequency table:

                                      Like hamburgers Does not like hamburgers Total

Likes burritos                       29                              41                                 70

Does not like burritos         81                               54                               135

Total                                     110                               95                               205

Part A. What percentage of the survey respondents did not like either hamburgers or burritos?

Like the question is either hamburgers OR burritos, we will sum 41 respondents that do not like hamburgers but like burritos, 81 that do not like burritos but like hamburgers and 54 that don't like neither hamburgers nor burritos.

41 + 81 + 54 = 176

Percentage = 175/205 = 85.9% (rounding to the next tenth)

Part B: Create a relative frequency table and determine what percentage of students who like hamburgers also like burritos.

                                      Like hamburgers Does not like hamburgers Total

Likes burritos                      14.1%                         20%                           34.1%

Does not like burritos         39.5%                       26.4%                         65.9%

Total                                      53.6%                      46.4%                           100%                              

To calculate this percentage we just take the number of respondents who like hamburgers and from that total we found that 29 also like burritos.

Percentage = 29/205 = 14.1% (rounding to the next tenth)

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

There is a strong association between "like hamburgers" and "does not like burritos" because there are 81 respondents of the survey out of 110 (73%) that like hamburgers but not like burritos. On the other hand, there is also a strong association between "likes burritos" and "does not like hamburgers": 41 out of 70 respondents (59%) actually like burritos but don't like hamburgers. Therefore, most likely a person that like hamburgers does not like burritos and a person that likes burritos does not like hamburgers.

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