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 versus 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. Survey Type What is the value of the chi-square test statistic? Red Blue Control Total Red 13 8. 26 O x? = 6.46 O x? = 2.51 O x = 2 O x? = 1.91 O x? = 6.65 Color Blue 7 15 12 34 of candy Total 20 20 20 60

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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 versus 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.
Survey Type
What is the value of the chi-square test statistic?
Red
Blue
Control
Total
Red
13
8
26
O x? = 6.46
Color
Blue
7
15
12
34
of candy
O x = 2.51
Total
20
20
20
60
O x? = 2
O x? = 1.91
O x? = 6.65
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 versus 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. Survey Type What is the value of the chi-square test statistic? Red Blue Control Total Red 13 8 26 O x? = 6.46 Color Blue 7 15 12 34 of candy O x = 2.51 Total 20 20 20 60 O x? = 2 O x? = 1.91 O x? = 6.65
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