Question

Each table represents the results of a survey taken by the football booster club to determine what types of concessions they should offer at football games. Determine which relative frequency table would be the best choice to find each piece of information.

a. The percentage of people surveyed who are adults and prefer hot dogs.
b. The percentage of people with a preference for candy who are students.
c. The percentage of students who prefer popcorn.

Answer 1

The relative frequencies from the survey data can be calculated by using a relative frequency table to determine the requested percentages for adults preferring hot dogs, students with a preference for candy, and students preferring popcorn.

Step-by-step explanation:

The question revolves around understanding and calculating relative frequencies and how to use them to interpret data from a survey. To find the requested percentages, one would use a relative frequency table that lists how many people fit into each category, then calculate the relative frequency by dividing the count by the total number of responses and converting to a percentage. For example, if the number of adults preferring hot dogs is given, you would divide that number by the total number of adults surveyed to find the relative frequency for part (a). Similarly, for parts (b) and (c), the percentage of students who prefer candy and popcorn, respectively, would be calculated by dividing the count for each preference by the total number of students.

Answer 2

The question relates to the use of relative frequency and marginal distributions in two-way tables to find specific percentages based on survey data from a football booster club.

Step-by-step explanation:

The question relates to the calculation and interpretation of relative frequency tables in the context of a survey. To determine the percentage of people surveyed who are adults and prefer hot dogs, one would use a two-way table that includes adult preference for hot dogs. For finding the percentage of people with a preference for candy who are students, again a two-way table with the information concerning candy preference and student status would be appropriate. Lastly, to find the percentage of students who prefer popcorn, a conditional distribution in a two-way table that considers student status and popcorn preference would be needed.

When organizing such data, the marginal distributions give the overall percentage for a single category, while conditional distributions focus on the percentage within a subset of the population. For example, the percentage of women out of the total who prefer football is a marginal distribution while the percentage of women preferring football out of all women surveyed is a conditional distribution.