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Unit 3, Lesson 3

Associations in Categorical Data

Algebra 1

Practice

Problem 1

Which value would best fit in the missing cell to suggest there is no evidence of an association between the variables?

	digital watch	analog watch
displays the date	54	27
no date display	18

Problem 2

The relative frequency table shows the percentage of each type of art (painting or sculpture) in a museum that would classify in the different styles (modern or classical). Considering these percentages, is there evidence to suggest an association between the variables? Explain your reasoning.

	modern	classical
painting	41%	59%
sculpture	38%	62%

An automobile dealership keeps track of the number of cars and trucks they have for sale as well as whether they are new or used. Considering the data, does there appear to be an association between the type of automobile and whether it is new or used? Explain your reasoning.

	car	truck
new	812	233
used	422	51

Problem 4

ForLesson 2: Relative Frequency Tables

A survey is given to 1,432 people about whether they take daily supplemental vitamins and whether they eat breakfast on a regular basis. The results are shown in the table.

	take daily vitamins	no daily vitamins
eat breakfast	384	476
no breakfast	268	304

Create a relative frequency table that shows the percentage of the entire group that is in each cell.

Problem 5

ForLesson 2: Relative Frequency Tables

Several college students are surveyed about their college location and preferred locations for a spring break trip.

	college near the coast	college away from the coast
beach break	37	54
ski break	24	36

What percentage of people who prefer to spend spring break at the beach go to a college away from the coast?
What percentage of people who prefer to spend spring break skiing go to a college away from the coast?

Problem 6

ForLesson 2: Relative Frequency Tables

A group of people are surveyed about whether they prefer to exercise by riding a bike or by running and whether they prefer summer or winter weather. The results are in the table.

	bike	run
summer	108	212
winter		98

What value could go in the blank cell so that the percentage of all the people in the survey who both like biking and winter weather is 10%?

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Associations in Categorical Data

Practice

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6