Consumer recycling behavior. Under what conditions will consumers dispose of recyclable paper in the garbage? This was the question of interest in an article published in the Journal of Consumer Research (December, 2013). In one of the studies conducted, the researchers instructed 78 college students to cut an 8.5-×11-inch sheet of paper into eight smaller pieces. Half the students were randomly assigned to list five uses for the cut paper (usefulness is salient condition). The students in the other half were asked to list their five favorite TV shows (control condition). After completing an unrelated task, all students were asked to dispose of the paper upon leaving. There was a trash bin and a recycling bin outside the door. The researchers kept track of which students recycled and which students disposed of their paper in the garbage. This information was used to test the theory that students in the usefulness is salient condition will recycle at a higher rate than students in the control condition.

a. Explain why the data-collection method used in this study is a designed experiment.

b. Identify the experimental unit in this study.

c. Identify the variables measured in this study. What data type (quantitative or qualitative) is produced from each variable? (Hint: Two variables are measured.)

d. About 68% of the students in the usefulness is recycled, compared to 37% of students in the control condition. Use this information to make an inference about the population of interest.

Short Answer

Expert verified
  1. The practice of gathering, measuring, and evaluating correct insights for study using established approved procedures is known as data collection.
  2. The test item is the unit on which the procedure is used. Each student in each of the two samples serves as an experimental unit.
  3. Whether a student reused or tossed the cut sheet (Qualitative variable). The second variable is the usage of cut paper (Qualitative)

As a consequence, we reject null and conclude

Step by step solution

01

(a) Data-collection method

The practice of gathering, measuring, and evaluating correct insights for study using established approved procedures is known as data collection. "The pupils were assigned to two teams at random."

02

(b) Study experiment

Each student in the two samples is an experimental unit.

03

(c) Variable

Variable 1: Whether a pupil reused the cut sheet or discarded it (Qualitative variable)

Variable 2: Variable number two is the use of cut paper (Qualitative)

04

(d) Make an inference about the population of interest

Salient condition groupas well as the control group

\(\begin{aligned}{l}{H_0}:{p_1} &= {p_2}\\Ha:{p_1} > {p_2}\\{{\hat p}_1} &= 0.68\\{{\hat p}_2} &= 0.37\\{n_1} &= {n_2} &= 39\end{aligned}\)

\(\begin{aligned}{c}p &= \frac{{0.68 + 0.37}}{2}\\ &= 0.525\\SE &= sqrt\left( {0.525*\left( {1 - 0.525} \right)*\left( {2/39} \right)} \right) &= 0.1130861\end{aligned}\)

\(\begin{aligned}{c}z - test &= \left( {0.68 - 0.37} \right)/\left( {0.1130861} \right) &= 2.74\\p - value &= P\left( {Z \ge 2.74} \right)\\ &= 0.003 < 0.05\end{aligned}\)

As a result, we reject null as well as conclude. Yes, there is enough data to conclude that the rate of reusing is greater in the salient condition group than in the control group.

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Most popular questions from this chapter

College application data. Colleges and universities are requiring an increasing amount of information about applicants before making acceptance and financial aid decisions. Classify each of the following types of data required on a college application as quantitative or qualitative.

a. High school GPA

b. Honors, awards

c. Applicant's score on the SAT or ACT

d. Gender of applicant

e. Parents’ income

f. Age of applicant

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a. Describe the process studied.

b. Describe the variable of interest.

c. Describe the sample.

d. Describe the inference of interest.

e. Brix is a unit for measuring sugar concentration. If a technician is assigned the task of estimating the average brix level of all 240,000 cans of beverage stored in a warehouse near Wakefield, will the technician be examining a process or a population? Explain.

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a. Length of maximum span (feet)

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Can money spent on gifts buy love? Is the gift you purchased for that special someone really appreciated? This was the question of interest to business professors at Stanford University. Their research was published in the Journal of Experimental Social Psychology (Vol. 45, 2009). In one study, the researchers investigated the link between engagement ring price (dollars) and level of appreciation of the recipient (measured on a 7-point scale where 1 = “not at all” and 7 = “to a great extent”). Participants for the study were those who used a popular Web site for engaged couples. The Web site’s directory was searched for those with “average” American names (e.g., “John Smith,” “Sara Jones”). These individuals were then invited to participate in an online survey in exchange for a $10 gift certificate. Of the respondents, those who paid really high or really low prices for the ring were excluded, leaving a sample size of 33 respondents.

a. Identify the experimental units for this study.

b. What are the variables of interest? Are they quantitative or qualitative in nature?

c. Describe the population of interest.

d. Do you believe the sample of 33 respondents is representative of the population? Explain.

e. In a second designed study, the researchers investigated whether the link between gift price and level of appreciation is stronger for birthday gift-givers than for birthday gift-receivers. The participants were randomly assigned to play the role of gift-giver or gift-receiver. Assume that the sample consists of 50 individuals. Use a random number generator to randomly assign 25 individuals to play the gift-receiver role and 25 to play the gift-giver role.

Explain how population and variables differ?

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