Questions: For each stage in the multistage sampling plan of this study, identify the sampling technique that was used: The research foundation identifies 5 target companies that represent a broad cross-section of patients, chooses 2 of the 5 at random, and gains access to the claims of all the companies' patients.

For each stage in the multistage sampling plan of this study, identify the sampling technique that was used: The research foundation identifies 5 target companies that represent a broad cross-section of patients, chooses 2 of the 5 at random, and gains access to the claims of all the companies' patients.

Transcript text: For each stage in the multistage sampling plan of this study, identify the sampling technique that was used: The research foundation identifies 5 target companies that represent a broad cross-section of patients, chooses 2 of the 5 at random, and gains access to the claims of all the companies' patients.

Solution

Solution Steps

To identify the sampling techniques used in each stage of the multistage sampling plan, we need to analyze the description provided:

The research foundation identifies 5 target companies that represent a broad cross-section of patients. This step involves selecting a subset of companies that are representative of the entire population, which is an example of stratified sampling.
From these 5 companies, 2 are chosen at random. This step involves selecting a random sample from the identified subset, which is an example of a simple random sample.
The claims of all the companies' patients are accessed. This step involves selecting all individuals within the chosen companies, which is an example of cluster sampling.

Solution Approach

Identify the sampling technique for selecting the 5 target companies.
Identify the sampling technique for choosing 2 out of the 5 companies.
Identify the sampling technique for accessing the claims of all the companies' patients.

Step 1: Identify the Sampling Technique for Stage 1

In the first stage, the research foundation identifies 5 target companies that represent a broad cross-section of patients. This selection process involves choosing companies based on specific characteristics to ensure representation. This method is classified as \( \text{stratified sampling} \).

Step 2: Identify the Sampling Technique for Stage 2

In the second stage, 2 out of the 5 identified companies are chosen at random. This selection process involves randomly picking a subset from the previously identified group, which is classified as a \( \text{simple random sample} \).

Step 3: Identify the Sampling Technique for Stage 3

In the third stage, the claims of all the patients from the selected companies are accessed. This means that all individuals within the chosen companies are included in the study, which is classified as \( \text{cluster sampling} \).

Final Answer

The sampling techniques used in each stage are as follows:

Stage 1: \( \text{stratified sampling} \)
Stage 2: \( \text{simple random sample} \)
Stage 3: \( \text{cluster sampling} \)

Thus, the final answer is: \[ \boxed{ \begin{align_} \text{Stage 1:} & \quad \text{stratified sampling} \\ \text{Stage 2:} & \quad \text{simple random sample} \\ \text{Stage 3:} & \quad \text{cluster sampling} \end{align_} } \]

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