two-way tables , math homework help

two-way tables , math homework help

Correctly answer all 10 multiple choice questions. Be sure to double check your answers.

Students and teachers at a school were polled to see if they were in favor of extending the parking lot into part of the athletic fields. The results of the poll are shown in the two-way table below. Which of the following statements is false?

In Favor Not in Favor
Students 16 23
Teachers 9 14

Thirty-nine students were polled in all.

Fourteen teachers were polled in all.

Twenty-three students are not in favor of extending the parking lot.

Nine teachers are in favor of extending the parking lot.

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The table below shows the results of a poll in which randomly selected high school students were asked if they prefer Football or Basketball. What is the marginal relative frequency of 12th graders?

9th Grade 10th Grade 11th Grade 12th Grade
Football 12 8 12 7
Basketball 5 10 7 9

0.4375

0.5625

0.2286

0.1

===========================

The table below shows the results of a poll in which randomly selected high school students were asked if they prefer Football or Basketball. What is the joint relative frequency of 10th graders who like football?

9th Grade 10th Grade 11th Grade 12th Grade
Football 12 8 12 7
Basketball 5 10 7 9

0.1143

0.1429

0.4444

0.3077

===================

The table below shows the results of a poll in which randomly selected high school students were asked if they prefer virtual or traditional schools. What is the marginal relative frequency of students who prefer traditional school?

9th Grade 10th Grade 11th Grade 12th Grade
Virtual 9 14 17 20
Traditional 17 16 5 2

0.06

0.6

0.04

0.4

====================

The table below shows the results of a poll in which randomly selected high school students were asked if they prefer virtual or traditional schools. If you are given a student who prefers virtual school, what is the probability that the student is also a 12th grader?

9th Grade 10th Grade 11th Grade 12th Grade
Virtual 9 14 17 20
Traditional 17 16 5 2

about 0.33

about 0.91

about 0.25

about 0.20

==================

Students and teachers at a school were polled to see if they were in favor of extending the parking lot into part of the athletic fields. The results of the poll are shown in the two-way table below. What is the probability that someone who is a student is also in favor of extending the parking lot into part of the athletic fields?

In Favor Not in Favor
Students 16 23
Teachers 9 14

about 0.64

about 0.26

about 0.41

about 0.16

==================

The table below shows the results of a poll in which randomly selected high school students were asked if they prefer virtual or traditional schools. What is the joint relative frequency of 9th graders who prefer virtual schools?

9th Grade 10th Grade 11th Grade 12th Grade
Virtual 9 14 17 20
Traditional 17 16 5 2

0.09

0.17

0.3462

0.15

=====================

The tally below shows the results of a poll in which adults and children were asked their favorite type of dessert. Which of the following two way tables shows the correct relative frequencies for the tally shown below?


http://www.intervisualtechnology.us/data/1/16084/desertA.jpg

http://www.intervisualtechnology.us/data/1/16085/desertB.jpg

http://www.intervisualtechnology.us/data/1/16086/desertC.jpg

http://www.intervisualtechnology.us/data/1/16087/desertD.jpg

=======================

Chuck is the owner of a car dealership. He is assessing the success rates of his top three salespeople in order to offer one of them a promotion. Over two months, for each attempted sale, he records whether the salesperson made a successful sale or not. The results are shown in the table below. Which salesperson has the highest success rate?

Successful Unsuccessful
Rachel 6 4
Jeff 5 5
Bill 8 7
Jennifer 3 6

Rachel

Jeff

Bill

Jennifer

=================

Four competing basketball teams in ABC county are competing to go to the state basketball championship. The team with the highest win rate will go to the championship. Which team would be selected to go?

Win Loss
Barracudas 13 3
Sharks 10 3
Sixers 12 1
Hawks 8 2

Barracudas

Sharks

Sixers

Hawks

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