70 points

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 38 77
Does not like burritos 95 128
Total 134 71

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 data point has strongest association of its two factors. Use complete sentences to explain your answer. (5 points)

A) 80.98%

B) 19.02%

C) 95 is the data point which has the strongest association of its two factors; likes hamburger doesn't like burritos.

Step-by-step explanation:

Find attached the completed table

After completing the table:

a) Total number of customers surveyed = 205

Number of customers that like either hamburgers or burritos = n(H or B) = 39

Number of customers that do not like either hamburgers burritos = total - n(H or B)

= 205-39 = 166

% of the survey respondents did not like either hamburgers or burritos = [n(neither H or B)/n(total)] × 100

= (166/205) ×100

percentage of the survey respondents did not like either hamburgers or burritos = 80.98%

b) Find attached the relative frequency table

percentage of students who like hamburgers also like burritos = [n(H or B)/ n(total)] × 100

= (39/205) × 100

percentage of students who like hamburgers also like burritos = 19.02%

3) data point which has strongest association of its two factors:

There is a strong association between "does not like burritos" and "like hamburgers".

Reason: we would notice that out of the 134 respondents that like hamburgers but does not like burritos,

95 respondents of the survey gives 70.9% of this total.

It's more likely for a customer who likes hamburger not to like burritos.

translate k to n and reflect across the line containing jk.