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The color of candy 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 60volunteers, she randomly assigned 20volunteers

to get a “red” survey, 20volunteers to get a “blue” survey, and 20volunteers 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. Here are segmented bar graphs showing

the results of the experiment. Describe what you see.

Short Answer

Expert verified

The more chosen chocolate color was the same as the survey's color. In the control survey, blue chocolates were chosen more often.

Step by step solution

01

Given Information

We have been given a graph which gives the percentage of blue and red colored chocolates chosen in the red survey, blue survey, and control survey.

02

Explanation

The blue candy was chosen by more than 60%of those who participated in the blue survey. The red candy was chosen by60% of those polled in the red survey. When compared to those in the red survey, individuals in the control survey were more inclined to choose the blue treat. When compared to those who took the blue survey, a larger percentage of those who took the red survey picked the red candy.

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Most popular questions from this chapter

More P-values For each of the following, find the P-value using Table C. Then calculate a more precise value using technology.

a. χ2=4.49,df=5

b. χ2=4.49,df=1

Gummy bears Courtney and Lexi wondered if the distribution of color was

the same for name-brand gummy bears (Haribo Gold) and store-brand gummy bears

(Great Value). To investigate, they randomly selected bags of each type and counted the

number of gummy bears of each color.

Do these data provide convincing evidence that the distributions of color differ for name-

brand gummy bears and store-brand gummy bears?

Here are the data:

Birds in the trees Researchers studied the behavior of birds that were searching for seeds and insects in an Oregon forest. In this forest, 54% of the trees are Douglas firs, 40% are ponderosa pines, and 6% are other types of trees. At a randomly selected time during the day, the researchers observed 156 red-breasted nuthatches: 70 were seen in Douglas firs, 79 in ponderosa pines, and 7 in other types of trees.

a. Do these data provide convincing evidence that nuthatches prefer particular types of trees when they’re searching for seeds and insects?

b. Relative to the proportion of each tree type in the forest, which type of trees do the nuthatches seem to prefer the most? The least?

The nonprofit group Public Agenda conducted telephone

interviews with three randomly selected groups of parents of high school children. There

were 202 black parents, 202 Hispanic parents, and 201 white parents. One question asked,

“Are the high schools in your state doing an excellent, good, fair, or poor job, or don’t you

know enough to say?” Here are the survey results:

Do these data provide convincing evidence that the distributions of opinion about high

schools differ for the three populations of parents?

Sorry, no chi-square How do U.S. residents who travel overseas for leisure differ from

those who travel for business? The following is the breakdown by occupation.

Occupation
Leisure travelers (%)
Business travelers (%)
Professional/technical
36
39
Manager/executive
23
48
Retired
14
3
Student
7
3
Other
20
7
Total
100
100

Explain why we can’t use a chi-square test to learn whether these two distributions differ

significantly.

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