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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 liked neither hamburgers nor burritos? show all work. (3 points) part b: what is the marginal relative frequency of all customers who like hamburgers? show all work. (3 points) part c: which category has the lowest joint relative frequency? show all work (4 points)

Answer :

a. Don't like both burritos and hamburgers.18.54% of participants.

b. Marginal relative frequency of 0.6049.

c. The correlation between enjoying hamburgers and disliking burritos is the strongest of the two variables.

Describe the term percentage?

When an is multiplied by 100% then divided by b, the result is the proportion of an amount an over an overall amount b, as in:

P = a/b x 100%

Option a:

38 out of 205 persons like neither; consequently:

P = 38/205 x 100%

P = 18.54%

Burgers and burritos are disliked by 18.54% of poll participants.

Option b:

The proportion expressed as a decimal, or a divided by b, is the relative frequency.

205 - 81 = 124 of a 205 participants enjoy hamburgers, so:

124/205 = 0.0649

All consumers who enjoy hamburgers have a marginal relative frequency of 0.6049.

Option c:

Without taking into account the totals, the table is:

49 - 43

75 - 38

Because of the greater total, the two criteria that are most strongly correlated with each other are preferring hamburgers but not liking burritos.

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