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91Ó°ÊÓ

Determine whether the sampling is dependent or independent. A researcher wishes to determine the effects of alcohol on people's reaction times to a stimulus. She randomly divides 100 people aged 21 or older into two groups. Group 1 is asked to drink 3 ounces of alcohol, while group 2 drinks a placebo. Both drinks taste the same, so the individuals in the study do not know which group they belong to. Thirty minutes after consuming the drink, the subjects in each group perform a series of tests meant to measure reaction time.

Short Answer

Expert verified
The sampling is independent.

Step by step solution

01

Identify the Groups

There are two groups in this study: Group 1, which drinks alcohol, and Group 2, which drinks a placebo.
02

Assess How Groups are Treated

Group 1 drinks alcohol, while Group 2 drinks a placebo. The drinks taste the same, so participants do not know which group they are in.
03

Determine the Relationship Between Samples

Consider if the results of one group directly influence or depend on the results of the other group. Both groups are tested independently of each other.
04

Identify the Type of Sampling

Because the results of one group do not affect the results of the other group and each group is treated independently, the sampling is independent.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Independent Sampling
Independent sampling occurs when the selection or results of one group do not influence or depend on the selection or results of another group. This is crucial when designing experiments, as it ensures the samples are not in any way related. For example, in the provided exercise, the researcher divides 100 people into two groups. Group 1 drinks alcohol and Group 2 drinks a placebo. Since each group's results do not affect the other group's results, this is an example of independent sampling. Conducting experiments with independently sampled groups ensures that the data aren’t biased or skewed due to interactions between groups.
Here’s why independent sampling is important:
  • Randomness: It helps maintain the randomness needed for statistical analysis.
  • Bias Minimization: It reduces the risk of one group’s results influencing another’s, leading to more accurate conclusions.
  • Control: Researchers have more control over the variables being tested.
Applying this in practical situations means making sure that groups are separated in a way that their interaction or results don't affect each other, as seen in the exercise example.
Experimental Design
An experimental design is the blueprint of a research study, detailing how participants are assigned to different groups and how the experiment will be conducted. For the exercise given, the researcher carefully plans the design to study the effects of alcohol on reaction times. Here are a few key points from this experimental design:
  • Random Assignment: The 100 participants are randomly divided into two groups to ensure there's no bias in the selection process.
  • Control Group: Group 2 acts as a control group and drinks a placebo. This establishes a baseline for comparison.
  • Blinding: Both groups receive drinks that taste the same, ensuring participants are unaware of whether they are consuming alcohol or a placebo. This eliminates ANY placebo effect due to participants’ beliefs.
Effective experimental design enhances the reliability of results. In our example, the researcher uses blinding to avoid any psychological influences of knowing which drink was consumed. This ensures differences in reaction times can be attributed specifically to the alcohol and not to participants' perceptions.
Placebo Effect
The placebo effect is a phenomenon where participants experience real changes in their condition simply because they believe they are receiving an active treatment, even if it's inactive (a placebo). This effect must be considered in experimental design to prevent skewed results. In the given exercise:
  • Placebo Use: Group 2 drinks a placebo, which is designed to taste like alcohol but doesn't contain any.
  • Blinding: Both groups are unaware of what they are drinking to prevent their expectations from affecting the results.
By comparing the performance of Group 1 (which consumed alcohol) to Group 2 (which consumed a placebo), researchers can isolate the effects of alcohol from any psychological influence. Ensuring that participants don’t know which group they’re in (blinding) is vital for making the findings credible and reliable. Thus, the placebo effect is countered, and researchers can focus solely on the impact of the variable being tested—in this case, alcohol on reaction time.

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Most popular questions from this chapter

On May \(10-14,2001,\) the Gallup Organization surveyed 1002 adult Americans and asked them if they believed in psychic or spiritual healing. Of the 1002 individuals surveyed, 551 said yes. When the same question was asked on June \(6-8,2005,541\) of the 1002 individuals surveyed responded yes. (a) Test whether the proportion of adult Americans who believe in psychic or spiritual healing has changed since May 2001 at the \(\alpha=0.05\) level of significance. (b) Construct a \(90 \%\) confidence interval for the difference between the two population proportions, \(p_{2001}-p_{2005}\)

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