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 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

Using the percentage concept, it is found that:

a. 18.54% of the survey respondents do not like both hamburgers and burritos.

b. The marginal relative frequency of all customers that like hamburgers is of 0.6049.

c. The data that has the strongest association of its two factors is liking hamburgers and not liking burritos.

What is a percentage?

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

$P = \frac{a}{b} \times 100\%$

Item a:

Out of 205 people, 38 like neither, hence:

$P = \frac{38}{205} \times 100\% = 18.54\%$

18.54% of the survey respondents do not like both hamburgers and burritos.

Item b:

The relative frequency is the percentage as a decimal, hence a divided by b.

Out of the 205 participants, 205 - 81 = 124 like hamburgers, hence:

$\frac{124}{205} = 0.6049$

The marginal relative frequency of all customers that like hamburgers is of 0.6049.

Item c:

The table is, disconsidering the totals:

49 - 43

75 - 38

Due to the higher total, the data that has the strongest association of its two factors is liking hamburgers and not liking burritos.

More can be learned about the percentage concept at https://brainly.com/question/10491646