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Determine the type of sampling used (simple random, stratified, systematic, cluster, or convenience). The first 50 people who walk into a sporting event are polled on their television preferences.

Short Answer

Expert verified
The sampling method is convenience sampling.

Step by step solution

01

Understand the Problem

We need to determine which of the sampling methods best describes this scenario, where the first 50 people entering a sporting event are surveyed.
02

Recall the Types of Sampling

Simple random sampling involves selecting individuals from a population entirely by chance. Stratified sampling divides the population into subgroups before sampling. Systematic sampling involves selecting every th number in line. Cluster sampling involves dividing the population into clusters and then randomly selecting entire clusters. Convenience sampling is taking samples that are easiest to obtain.
03

Analyze the Scenario

In this scenario, the first 50 people are surveyed simply because they are the first ones to arrive, without consideration of any method besides convenience.
04

Determine the Type of Sampling

Since the survey targets the first 50 people based on their order of arrival and without any randomness or systematic approach, this method is best described as convenience sampling. Convenience sampling involves selecting a sample based on ease of access and availability.

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Key Concepts

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

Convenience Sampling
In convenience sampling, participants are selected based on their ease of access and proximity to the researcher. This means that the individuals chosen are simply those that are easiest to reach. It does not require random selection or special criteria, which makes it quick and simple to execute. However, it often leads to biased results since the sample may not represent the broader population. For example, polling the first 50 people entering a sporting event falls under convenience sampling because those individuals are selected due to their immediate availability as they walk in. This method is useful when time and resources are limited, but be aware that results gathered from convenience sampling might not be generalizable.
Stratified Sampling
Stratified sampling involves dividing a larger population into distinct subgroups, known as strata, before selecting samples. Each subgroup is called a stratum and is characterized by a specific attribute, such as age or gender. Once these subgroups are established, a random sample is taken from each stratum. This method ensures that every subgroup of the population is adequately represented in the final sample. For example, if a researcher wants to understand a population's opinion about a product, they might divide the group into strata based on age ranges and then randomly select individuals from each age group. This increases precision in results by minimizing sampling bias. Stratified sampling is particularly useful when researchers want to ensure fair representation across identified categories.
Systematic Sampling
Systematic sampling involves selecting participants from a larger population at regular intervals. To apply this technique, a researcher would decide on a fixed starting point in a list and then choose every nth individual to create the sample. This method is a hybrid between simplicity and randomness. It is less random than simple random sampling, but still ensures even coverage across the population. For instance, if you are surveying visitors at a museum, you might select every 10th visitor entering after a chosen starting point. This makes systematic sampling efficient, as it reduces researcher bias in the selection process and covers different sections of the population, though the method might introduce bias if there is a hidden pattern within the list.
Simple Random Sampling
Simple random sampling is the most basic type of sampling where each member of the population has an equal chance of being selected. This method is analogous to a lottery where each individual has the same probability of being picked. To perform simple random sampling, each participant is usually assigned a random number and a predetermined number of them are selected at random. This approach minimizes bias, making it one of the most revered sampling techniques for ensuring a representative sample. For example, if a researcher wants to select a sample of 100 students from a university of 1,000 students, each student would be assigned a number, and a random number generator could be used to pick the 100 individuals. While very effective, it鈥檚 often impractical in very large populations without the aid of technology.

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Most popular questions from this chapter

Use the following information to answer the next seven exercises: Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment program. Suppose that a new AIDS antibody drug is currently under study. It is given to patients once the AIDS symptoms have revealed themselves. Of interest is the average (mean) length of time in months patients live once starting the treatment. Two researchers each follow a different set of 40 AIDS patients from the start of treatment until their deaths. The following data (in months) are collected. Researcher A: 3; 4; 11; 15; 16; 17; 22; 44; 37; 16; 14; 24; 25; 15; 26; 27; 33; 29; 35; 44; 13; 21; 22; 10; 12; 8; 40; 32; 26; 27; 31; 34; 29; 17; 8; 24; 18; 47; 33; 34 Researcher B: 3; 14; 11; 5; 16; 17; 28; 41; 31; 18; 14; 14; 26; 25; 21; 22; 31; 2; 35; 44; 23; 21; 21; 16; 12; 18; 41; 22; 16; 25; 33; 34; 29; 13; 18; 24; 23; 42; 33; 29 Determine what the key term data refers to in the above example for Researcher A.

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