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. Color of candy Red Blue Total Red 13 7 20 Survey Type Control 8 12 20 Blue 5 15 20 Total 26 34 60 Which of the following is false? The 10% condition is not needed because the volunteers were not randomly selected from the population. All expected counts are at least 5. The participants were randomly selected. All of the conditions are met for conducting a chi- square test for homogeneity. Volunteers were randomly assigned to the survey types.

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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.
Color
of candy
Red
Red
13
Blue
7
Total 20
Survey Type
Control
8
12
20
Blue
5
15
20
Total
26
34
60
Which of the following is false?
The 10% condition is not needed because the
volunteers were not randomly selected from the
population.
All expected counts are at least 5.
The participants were randomly selected.
All of the conditions are met for conducting a chi-
square test for homogeneity.
Volunteers were randomly assigned to the survey
types.
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. Color of candy Red Red 13 Blue 7 Total 20 Survey Type Control 8 12 20 Blue 5 15 20 Total 26 34 60 Which of the following is false? The 10% condition is not needed because the volunteers were not randomly selected from the population. All expected counts are at least 5. The participants were randomly selected. All of the conditions are met for conducting a chi- square test for homogeneity. Volunteers were randomly assigned to the survey types.
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