Inspired by the example about how background music influences choice of entrée at a restaurant, a statistics student decided to investigate other ways to influence a person's behavior. Using 60 volunteers, she randomly assigned 20 volunteers to get a "red" survey, 20 volunteers to get a "blue" survey, and 20 volunteers to get a control survey. The first three questions on each survey were the same, but the fourth and fifth questions were different. For example, the fourth question on the "red" survey was "When you think of the color red, what do you think about?" On the blue survey, the question replaced red with blue. On the control survey, the last two questions were not about color. As a reward, each volunteer was allowed to choose a chocolate candy in a red wrapper or a chocolate candy in a blue wrapper. The table shows the result of the experiment: We want to test Ho: The distribution of candy choice is the same for subjects like these who receive the red survey, the blue survey, and the control survey. Ha: The distribution of candy choice is not the same for subjects like these who receive the red survey, the blue survey, and the control survey. The statistics student uses a chi-square test for homogeneity to analyze her findings and calculates a P- value of 0.0359. Color of candy Red Blue Total Red 13 7 20 Survey Type Blue Control 5 8 15 12 20 20 Total 26 34 60 Which of the following is an appropriate conclusion, using a = 0.01? Because the P-value of 0.0359 > a = 0.01, we fail to reject Ho. We do not have convincing evidence that the distribution of candy choice is the same for subjects like these who receive the red survey, the blue survey, and the control survey Because the P-value of 0.0359 > a = 0.01, we fail to reject Ho. We do not have convincing evidence that the distribution of candy choice is different for subjects like these who receive the red survey, the blue survey, and the control survey. O Because the P-value of 0.0359> a = 0.01, we accept Ho. We have convincing evidence that the distribution of candy choice is the same for subjects like these who receive the red survey, the blue survey, and the control survey Because the P-value of 0.0359 > a = 0.01, we reject Ho in favor of Ha. We have convincing evidence that the distribution of candy choice is different for subjects like these who receive the red survey, the blue survey, and the control survey. Because the P-value of 0.0359 > a = 0.01, we fail to reject Ho. We do not have convincing evidence that the distribution of candy choice is different for those who took part in the survey.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Inspired by the example about how background music influences choice of entrée at a restaurant, a statistics student decided to
investigate other ways to influence a person's behavior. Using 60 volunteers, she randomly assigned 20 volunteers to get a "red"
survey, 20 volunteers to get a "blue" survey, and 20 volunteers to get a control survey. The first three questions on each survey
were the same, but the fourth and fifth questions were different. For example, the fourth question on the "red" survey was
"When you think of the color red, what do you think about?" On the blue survey, the question replaced red with blue. On the
control survey, the last two questions were not about color. As a reward, each volunteer was allowed to choose a chocolate candy
in a red wrapper or a chocolate candy in a blue wrapper. The table shows the result of the experiment: We want to test Ho: The
distribution of candy choice is the same for subjects like these who receive the red survey, the blue survey, and the control
survey. Ha: The distribution of candy choice is not the same for subjects like these who receive the red survey, the blue survey,
and the control survey. The statistics student uses a chi-square test for homogeneity to analyze her findings and calculates a P-
value of 0.0359.
Color
of candy
Red
Red
13
Blue
7
Total 20
Survey Type
Control
Blue
5
15
20
8
12
20
Total
26
34
60
Which of the following is an appropriate conclusion,
using a = 0.01?
Because the P-value of 0.0359 > a = 0.01, we fail
to reject Ho. We do not have convincing evidence
that the distribution of candy choice is the same for
subjects like these who receive the red survey, the
blue survey, and the control survey
Because the P-value of 0.0359> a = 0.01, we fail
to reject Ho. We do not have convincing evidence
that the distribution of candy choice is different for
subjects like these who receive the red survey, the
blue survey, and the control survey.
Because the P-value of 0.0359 > a = 0.01, we
accept Ho. We have convincing evidence that the
distribution of candy choice is the same for subjects
like these who receive the red survey, the blue
survey, and the control survey
Because the P-value of 0.0359 > a = 0.01, we
reject Ho in favor of Ha. We have convincing
evidence that the distribution of candy choice is
different for subjects like these who receive the red
survey, the blue survey, and the control survey.
Because the P-value of 0.0359 > a = 0.01, we fail
to reject Ho. We do not have convincing evidence
that the distribution of candy choice is different for
those who took part in the survey.
Transcribed Image Text:Inspired by the example about how background music influences choice of entrée at a restaurant, a statistics student decided to investigate other ways to influence a person's behavior. Using 60 volunteers, she randomly assigned 20 volunteers to get a "red" survey, 20 volunteers to get a "blue" survey, and 20 volunteers to get a control survey. The first three questions on each survey were the same, but the fourth and fifth questions were different. For example, the fourth question on the "red" survey was "When you think of the color red, what do you think about?" On the blue survey, the question replaced red with blue. On the control survey, the last two questions were not about color. As a reward, each volunteer was allowed to choose a chocolate candy in a red wrapper or a chocolate candy in a blue wrapper. The table shows the result of the experiment: We want to test Ho: The distribution of candy choice is the same for subjects like these who receive the red survey, the blue survey, and the control survey. Ha: The distribution of candy choice is not the same for subjects like these who receive the red survey, the blue survey, and the control survey. The statistics student uses a chi-square test for homogeneity to analyze her findings and calculates a P- value of 0.0359. Color of candy Red Red 13 Blue 7 Total 20 Survey Type Control Blue 5 15 20 8 12 20 Total 26 34 60 Which of the following is an appropriate conclusion, using a = 0.01? Because the P-value of 0.0359 > a = 0.01, we fail to reject Ho. We do not have convincing evidence that the distribution of candy choice is the same for subjects like these who receive the red survey, the blue survey, and the control survey Because the P-value of 0.0359> a = 0.01, we fail to reject Ho. We do not have convincing evidence that the distribution of candy choice is different for subjects like these who receive the red survey, the blue survey, and the control survey. Because the P-value of 0.0359 > a = 0.01, we accept Ho. We have convincing evidence that the distribution of candy choice is the same for subjects like these who receive the red survey, the blue survey, and the control survey Because the P-value of 0.0359 > a = 0.01, we reject Ho in favor of Ha. We have convincing evidence that the distribution of candy choice is different for subjects like these who receive the red survey, the blue survey, and the control survey. Because the P-value of 0.0359 > a = 0.01, we fail to reject Ho. We do not have convincing evidence that the distribution of candy choice is different for those who took part in the survey.
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