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. 6-1- Red Red 13 Survey Type Blue Control 5 8 Total 26 What are appropriate null and alternate hypotheses in this setting? Ho: The proportion who would choose the red candy

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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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.
Color
of candy
Survey Type
Red Blue Control
Red
13
5
8
Blue
7
15
12
Total 20
20
20
Total
26
34
60
What are appropriate null and alternate hypotheses in
this setting?
Ho: The proportion who would choose the red candy
is 0.33 in all three treatment groups. Ha: The
proportion is not 0.33 in all three treatment groups
Ho: The number who choose the red candy is the
same as those who choose the blue candy for
subjects like these who receive the red survey, the
blue survey.
Ha: The number who choose the red candy is the
same as those who choose the blue candy for
subjects like these who receive the red survey, the
blue survey.
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.
Ho: The distribution of candy choice is the same for
subjects who received 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 received the red survey,
the blue survey, and the control survey.
Ho: 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.
Ha: The distribution of candy choice is the same for
subjects like these who receive the red survey, the
blue survey, and the control 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. Color of candy Survey Type Red Blue Control Red 13 5 8 Blue 7 15 12 Total 20 20 20 Total 26 34 60 What are appropriate null and alternate hypotheses in this setting? Ho: The proportion who would choose the red candy is 0.33 in all three treatment groups. Ha: The proportion is not 0.33 in all three treatment groups Ho: The number who choose the red candy is the same as those who choose the blue candy for subjects like these who receive the red survey, the blue survey. Ha: The number who choose the red candy is the same as those who choose the blue candy for subjects like these who receive the red survey, the blue survey. 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. Ho: The distribution of candy choice is the same for subjects who received 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 received the red survey, the blue survey, and the control survey. Ho: 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. Ha: The distribution of candy choice is the same for subjects like these who receive the red survey, the blue survey, and the control survey.
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