Two-Way Tables Answers

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A residential community was polling households to find out whether they wanted to get their TV signal from a satellite or cable. The results are shown in the Venn diagram.

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A
a = 82%, b = 3%
B
a = 38%, b = 50%
C
a = 38%, b = 3%
D
a = 93%, b = 19%
2
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An informal survey was taken at a farmer’s market. People were asked whether they liked carrots, turnips, or both. The results are shown in the Venn diagram.

Question illustration
A
a = 12%, b = 17%
B
a = 12%, b = 18%
C
a = 40%, b = 18%
D
a = 41%, b = 63%
3

A relative frequency table is made from data in a frequency table.

Question illustration
A
12%
B
27%
C
46%
D
52%
4

At the Kansas City Airport, a group of pilots for Skyways and Yellow Jet airlines were asked whether their flights were flying east or west. The two-way table shows their answers.Flight Directions

Question illustration
A
Skyways, going east
B
Skyways, going west
C
Yellow Jet, going east
D
Yellow Jet, going west
5

A group of students and workers entering a metro station were asked whether they were riding the bus or the subway. The two-way table shows their answers.

Question illustration
A
48
B
69
C
118
D
166
6

A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.

Question illustration
A
a = 16, b = 29, c = 22, d = 30, e = 24
B
a = 29, b = 16, c = 30, d = 22, e = 24
C
a = 16, b = 29, c = 24, d = 22, e = 30
D
a = 29, b = 16, c = 24, d = 30, e = 22
7

A group of 55 football players was polled about which synthetic grass they like to play on, Chemgrass or Chemstrand. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table.

Question illustration
A
x = 17, y = 15, and z = 13
B
x = 13, y = 15, and z = 17
C
x = 15, y = 13, and z = 17
D
x = 13, y = 17, and z = 15
8

The table shows the results of a survey of 200 randomly selected people on whether they like watermelon, cantaloupe, or both.Which is the marginal relative frequency for the people who do not like cantaloupe?

Question illustration
A
StartFraction 25 Over 91 EndFraction
Option A
B
StartFraction 66 Over 200 EndFraction
Option B
C
StartFraction 91 Over 200 EndFraction
Option C
D
StartFraction 66 Over 91 EndFraction
Option D
9

A soccer coach surveyed the players to determine the number of players who preferred selling coupon books, magazine subscriptions, or both for their fundraiser. The results are given in the Venn diagram.

Question illustration
A
a = 27%
B
a = 42%
C
a = 81%
D
a = 88%
10

Mr. Capuano, an art teacher, surveyed his students to find out whether they are satisfied with his classes. He also noted which class each student had taken.Oil-paintingSatisfied: 17Not satisfied: 3SculptureSatisfied: 25Not satisfied: 5

Question illustration
A
3%
B
6%
C
8%
D
15%

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