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20/20 survey exposé. Refer to the "Statistics in Action" box of this chapter (p. 25). Recall that the popular prime-time ABC television program 20/20 presented several misleading (and possibly unethical) surveys in a segment titled "Fact or Fiction? —Exposés of So-Called Surveys." The information reported from two of these surveys and several others is listed here (actual survey facts are provided in parentheses).

• Quaker Oats study: Eating oat bran is a cheap and easy way to reduce your cholesterol count. (Fact: Diet must consist of nothing but oat bran to achieve a slightly lower cholesterol count.)

• March of Dimes report: Domestic violence causes more birth defects than all medical issues combined. (Fact: No study—false report.)

• American Association of University Women (AAUW) study: Only 29% of high school girls are happy with themselves, compared to 66% of elementary school girls. (Fact: Of 3,000 high school girls, 29% responded, "Always true" to the statement "I am happy the way I am." Most answered, "Sort of true" and "Sometimes true.”)

• Food Research and Action Center study: One in four American children under age 12 is hungry or at risk of hunger. (Fact: Based on responses to questions: "Do you ever cut the size of meals?" "Do you ever eat less than you feel you should?" and "Did you ever rely on limited numbers of foods to feed your children because you were running out of money to buy food for a meal?")

• McKinsey survey on the health reform act: Thirty percent of employers would "definitely" or "probably" stop offering health coverage to their employees if the government-sponsored act is passed. (Fact: Employers were asked leading questions that made it seem logical for them to stop offering insurance. For example, respondents were told that the new health insurance exchanges would become "an easy, affordable way for individuals to obtain health insurance" outside the company. Then they were given examples of how little their workers would pay for this insurance. Only then were they asked how likely they would be to stop offering health insurance.)

a. Refer to the Quaker Oats study relating oat bran to cholesterol levels. Discuss why it is unethical to report the results as stated.

b. Consider the false March of Dimes report on domestic violence and birth defects. Discuss the type of data required to investigate the impact of domestic violence on birth defects. What data-collection method would you recommend?

c. Refer to the AAUW study of self-esteem of high school girls. Explain why the results of the study are likely to be misleading. What might data be appropriate for assessing the self-esteem of high school girls?

d. Refer to the Food Research and Action Center study of hunger in America. Explain why the results of the study are likely to be misleading. What data would provide insight into the proportion of hungry American children?

e. Refer to the McKinsey survey on the health reform act. Explain what a "leading question" is and why it might produce responses that bias the results.

Short Answer

Expert verified
  1. Customers believe they are capable of achieving near-impossible feats.
  2. A planned study would be the most exact data-collection technique to guarantee that domestic violence is the only cause of congenital disabilities. Still, such research would be hard to procure approval for.
  3. A qualitative data collection encompassing a broad typical spectrum of discontent would be the best data for gauging high school female self-esteem.
  4. Data from a survey with an acceptable scale of food eaten as well as household income would be most helpful in measuring the values of American youngsters who are hungry.
  5. A "leading question" encourages the reader to answer in the manner desired by the inquiry.

Step by step solution

01

Unethical report

This article is unethical and deceptive since the study's findings (a little reduced cholesterol score) neglect to specify that the meals can ONLY comprise Quaker Oat bran and no other meals. As a consequence, customers feel they can accomplish near-impossible achievements.

02

Data collection method

The sort of data needed to explore the effects of domestic violence on baby abnormalities would most probably be quantitative, with a look at how numerous birth problems are linked to victims of domestic abuse. The most precise data-collection strategy would be a planned experiment to ensure that domestic abuse is the only reason for birth abnormalities. However, a study would be difficult to obtain clearance for.

03

Self-esteem of high school girls

The AAUW based its estimated percentage on whether the girls were content with themselves all of the moment, most of the period, or part of the time; the findings of this research are likely to be deceptive. Happiness is measured on a scale; nevertheless, the findings indicated that the girls were dissatisfied with their looks, while in fact, the majority of the girls were just somewhat dissatisfied. A qualitative data set spanning a broad representative range of dissatisfaction would be the finest data for measuring the self-esteem of high school females.

04

Proportion of hungry American children

The study's findings are likely to be deceptive since the first two questions, "Do you ever cut the number of meals?" and "Do one's ever eaten less than one's think might have to?" are insufficiently detailed to conclude that one in every four American youngsters is hungry or at danger of starvation. Furthermore, each person has their own proper portion size. Data from a survey with an adequate scale of food consumed and family income would be most useful in determining the percentage of hungry American children.

05

Response produces those biased findings

A "leading question" urges the reader to respond in the manner the question desires. There is obvious bias in the McKinsey study owing to a leading question since all of the data and details provided before the query of whether firms would cease supplying health care to their workers are in favor of employers discontinuing healthcare coverage offerings.

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Most popular questions from this chapter

Find the following probabilities for the standard normal random variable z:

a.P(0<z<2.25)b.P(-2.25<z<0)b.P(-2.25<z<1.25)d.P(-2.50<z<1.50)e.P(z<-2.33orz>2.33)

Corporate sustainability of CPA firms. Refer to the Business and Society (March 2011) study on the sustainability behaviors of CPA corporations, Exercise 2.23 (p. 83). Recall that the level of support for corporate sustainability (measured on a quantitative scale ranging from 0 to 160 points) was obtained for each of 992 senior managers at CPA firms. The accompanying Minitab printout gives the mean and standard deviation for the level of support variable. It can be shown that level of support is approximately normally distributed.

a. Find the probability that the level of support for corporate sustainability of a randomly selected senior manager is less than 40 points.

b. Find the probability that the level of support for corporate sustainability of a randomly selected senior manager is between 40 and 120 points.

c. Find the probability that the level of support for corporate sustainability of a randomly selected senior manager is greater than 120 points.

d. One-fourth of the 992 senior managers indicated a level of support for corporate sustainability below what value?

Descriptive Statistics: Support

Variables

N

Mean

StDev

Variance

Minimum

Maximum

Range

Support

992

67.755

26.871

722.036

0.000

155.000

155.000

Question: Find the following probabilities for the standard normal random variable z:

a.P(z>1.46)b.P(z<-1.56)c.P(.67z<2.41)d.P(-1.96z-.33)e.P(Z0)f.P(-2.33<z<1.50)

Vulnerability of counting party Web spots. When you subscribe to your Facebook account, you're granted access to further. Then 1 million counting parties (RP) Web spots. Vulnerabilities in this sign-on system may permit a bushwhacker to gain unauthorized access to your profile, allowing the bushwhacker to impersonate you on the RP Web point. Computer and systems Masterminds delved into the vulnerability of counting party Web spots and presented their results at the Proceedings of the 5th AMC Factory on Computers & Communication Security (October 2012). RP Web spots were distributed as Garçon- inflow or customer- inflow Web spots. Of the 40 garçon- inflow spots studied, 20 were planted to be vulnerable to impersonation attacks. Of the 54 customer-inflow spots examined, 41 were. Plant to be vulnerable to impersonation attacks. Give your opinion on whether a customer- inflow Web point is more likely to be vulnerable to an impersonation attack than a garçon- inflow Website. However, how much more likely? If so.

Question: Promotion of supermarket vegetables. A supermarket chain is interested in exploring the relationship between the sales of its store-brand canned vegetables (y), the amount spent on promotion of the vegetables in local newspapers(x1) , and the amount of shelf space allocated to the brand (x2 ) . One of the chain’s supermarkets was randomly selected, and over a 20-week period, x1 and x2 were varied, as reported in the table.

Week

Sales, y

Advertising expenses,

Shelf space,

Interaction term,

1

2010

201

75

15075

2

1850

205

50

10250

3

2400

355

75

26625

4

1575

208

30

6240

5

3550

590

75

44250

6

2015

397

50

19850

7

3908

820

75

61500

8

1870

400

30

12000

9

4877

997

75

74775

10

2190

515

30

15450

11

5005

996

75

74700

12

2500

625

50

31250

13

3005

860

50

43000

14

3480

1012

50

50600

15

5500

1135

75

85125

16

1995

635

30

19050

17

2390

837

30

25110

18

4390

1200

50

60000

19

2785

990

30

29700

20

2989

1205

30

36150

  1. Fit the following model to the data:yβ0+β1x1+β2x2+β3x1x2+ε
  2. Conduct an F-test to investigate the overall usefulness of this model. Useα=.05 .
  3. Test for the presence of interaction between advertising expenditures and shelf space. Useα=.05 .
  4. Explain what it means to say that advertising expenditures and shelf space interact.
  5. Explain how you could be misled by using a first-order model instead of an interaction model to explain how advertising expenditures and shelf space influence sales.
  6. Based on the type of data collected, comment on the assumption of independent errors.
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