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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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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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 expected count in the red/red cell? Red Blue Control Total Red 13 8. 26 Color O Expected count = (20)(26) 34 = 15.29 Blue 7 15 12 34 of candy (34)(26) = 14.73, so the expected count is 15. Total 20 20 20 60 60 (13)(26) O Expected count = 60 = 5.63 OExpected count = (20)(26) = 8.67 60 (20)(26) = 8.67, so the expected count is 9. 60
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 expected count in the red/red cell? Red Blue Control Total Red 13 8. 26 Color O Expected count = (20)(26) 34 = 15.29 Blue 7 15 12 34 of candy (34)(26) = 14.73, so the expected count is 15. Total 20 20 20 60 60 (13)(26) O Expected count = 60 = 5.63 OExpected count = (20)(26) = 8.67 60 (20)(26) = 8.67, so the expected count is 9. 60
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