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. The statistics student will use a chi-square test for homogeneity to analyze her findings. Survey Type Which of the following are the appropriate degrees of freedom and P-value for this inference procedure? Red Blue Control Total Red 13 26 Color O df = 4, P-value = 0.1555 Blue 15 12 34 of candy O df = 5, P-value = 0.2479 Total 20 20 20 60 O df = 2, P-value = 0.0359 O df = 5, P-value = 0.0225 O df = 4, P-value = 0.0145

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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.
The statistics student will use a chi-square test for homogeneity to analyze her findings.
Survey Type
Which of the following are the appropriate degrees of
Red
Blue
Control
Total
freedom and P-value for this inference procedure?
Red
13
8
26
Color
O df = 4, P-value = 0.1555
Blue
15
12
34
of candy
O df = 5, P-value = 0.2479
Total
20
20
20
60
O df = 2, P-value = 0.0359
O df = 5, P-value = 0.0225
O df = 4, P-value = 0.0145
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. The statistics student will use a chi-square test for homogeneity to analyze her findings. Survey Type Which of the following are the appropriate degrees of Red Blue Control Total freedom and P-value for this inference procedure? Red 13 8 26 Color O df = 4, P-value = 0.1555 Blue 15 12 34 of candy O df = 5, P-value = 0.2479 Total 20 20 20 60 O df = 2, P-value = 0.0359 O df = 5, P-value = 0.0225 O df = 4, P-value = 0.0145
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