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

Roulette Casinos are required to verify that their games operate as advertised. American roulette wheels have 38 slots—18 red, 18 black, and 2 green. In one casino, managers record data from a random sample of 200 spins of one of their American roulette wheels. The table displays the results.

a. State appropriate hypotheses for testing whether these data give convincing evidence that the distribution of outcomes on this wheel is not what it should be.

b. Calculate the expected count for each color.

c. Calculate the value of the chi-square test statistic.

All current-carrying wires produce electromagnetic (EM) radiation, including the electrical wiring running into, through, and out of our homes. High-frequency EM radiation is thought to be a cause of cancer. The lower frequencies associated with household current are generally assumed to be harmless. To investigate the relationship between current configuration and type of cancer, researchers visited the addresses of a random sample of children who had died of some form of cancer (leukemia, lymphoma, or some other type) and classified the wiring configuration outside the dwelling as either a high-current configuration (HCC) or a low-current configuration (LCC). Here are the data:

Computer software was used to analyze the data. The output included the value X2=0.435

Which of the following may we conclude, based on the chi-square test results?

a. There is convincing evidence of an association between wiring configuration and the chance that a child will develop some form of cancer.

b. HCC either causes cancer directly or is a major contributing factor to the development of cancer in children.

c. Leukemia is the most common type of cancer among children.

d. There is not convincing evidence of an association between wiring configuration and the type of cancer that caused the deaths of children.

e. There is convincing evidence that HCC does not cause cancer in children.

Fruit flies Biologists wish to mate pairs of fruit flies having genetic makeup RrCc, indicating that each has one dominant gene (R) and one recessive gene (r) for eye color, along with one dominant (C) and one recessive (c) gene for wing type. Each offspring will receive one gene for each of the two traits from each parent, so the biologists predict that the following phenotypes should occur in a ratio of 9:3:3:1:

Assume that the conditions for inference are met. Carry out a test at the α=0.05 significance level of the proposed genetic model.

For these data, χ2=69.8with a P-value of approximately 0. Assuming that the researchers used a significance level of 0.05, which of the following is true?

a. A Type I error is possible.

b. A Type II error is possible.

c. Both a Type I and a Type II error are possible.

d. There is no chance of making a Type I or Type II error because the P-value is approximately 0.

e. There is no chance of making a Type I or Type II error because the calculations are correct.

How to quit smoking Refer to Exercise 37. Which treatment seems to be most effective? Least effective? Justify your choices.

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