Question

Please do not waste my time scam me out of my points. time is of the essence for me.

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

A: 16.09 %

B: 0.65

C: Those who like Hamburgers but not burritos.

Explanation:

Like Hamburgers ↓ Does Not Like Hamburgers↓ Total↓

Likes burritos - 39 38 77

Does not like burritos - 95 33 128

Total - 134 71 205

According to the table above, the total of 77 customers like burritos, out of which 38 do not like hamburgers, hence, the remaining (77 - 38) = 39 like Hamburgers.

128 customers do not like burritos, out of which 95 do like hamburgers, hence, the remaining (128 - 95=)33 do not like Hamburgers.

A total of 134 customers like hamburgers, but 71 do not like it, hence, the total respondents are 205.

Part A: The percent of respondents who do not like hamburgers and burritos both

There are 33 such respondents.

Hence, percentage = 33/205 = 100 = 16.09 %

Part B: Marginal relative frequency of all customers that like hamburgers

It will be the ratio of the sum of the customers that like hamburgers to the total number of respondents

Hence, ratio = 134/205 = 0.65

Part C: The data point that has the strongest association of its two factors.

Those who like Hamburgers and burritos = 39/134 = 0.29 3

Those who like Hamburgers but not burritos = 95/134 = 0.71

Those who like burritos but not Hamburgers = 38/71 = 0.53

Those who do not like burritos or Hamburgers = 33/71 = 0.47

So, the answer is those who like Hamburgers but not burritos.