Question

a marriage counselor is interested in the proportion the clients she counsels that stay married. match the vocabulary word with its corresponding example.

• the 55 randomly selected clients that were chosen for this study
• the list of yes or no answers to the question on whether the clients stayed married
• all of the counselor’s clients
• the answer yes or no to the question on whether a client stayed married
• the proportion of the 55 randomly selected clients who stayed married
• the proportion of all of the counselor’s clients who stayed married

Explanation:

To solve this, we recall key statistical vocabulary:

1. "The 55 randomly selected clients that were chosen for this study"

This is a sample (a subset of the population studied).

2. "The list of Yes or No answers to the question on whether the clients stayed married"

This is data (the collection of observations from the sample).

3. "All of the counselor’s clients"

This is the population (the entire group of interest).

4. "The answer Yes or No to the question on whether a client stayed married"

This is a variable (the characteristic being measured, with values "Yes" or "No").

5. "The proportion of the 55 randomly selected clients who stayed married"

This is a statistic (a measure calculated from the sample).

6. "The proportion of all of the counselor’s clients who stayed married"

This is a parameter (a measure describing the entire population).

Matching Summary:

• Sample: The 55 randomly selected clients that were chosen for this study
• Data: The list of Yes or No answers to the question on whether the clients stayed married
• Population: All of the counselor’s clients
• Variable: The answer Yes or No to the question on whether a client stayed married
• Statistic: The proportion of the 55 randomly selected clients who stayed married
• Parameter: The proportion of all of the counselor’s clients who stayed married

(If you need to present this as a formal match (e.g., drag-and-drop labels), the above explains which term matches each example.)

Answer:

To solve this, we recall key statistical vocabulary:

1. "The 55 randomly selected clients that were chosen for this study"

This is a sample (a subset of the population studied).

2. "The list of Yes or No answers to the question on whether the clients stayed married"

This is data (the collection of observations from the sample).

3. "All of the counselor’s clients"

This is the population (the entire group of interest).

4. "The answer Yes or No to the question on whether a client stayed married"

This is a variable (the characteristic being measured, with values "Yes" or "No").

5. "The proportion of the 55 randomly selected clients who stayed married"

This is a statistic (a measure calculated from the sample).

6. "The proportion of all of the counselor’s clients who stayed married"

This is a parameter (a measure describing the entire population).

Matching Summary:

• Sample: The 55 randomly selected clients that were chosen for this study
• Data: The list of Yes or No answers to the question on whether the clients stayed married
• Population: All of the counselor’s clients
• Variable: The answer Yes or No to the question on whether a client stayed married
• Statistic: The proportion of the 55 randomly selected clients who stayed married
• Parameter: The proportion of all of the counselor’s clients who stayed married

(If you need to present this as a formal match (e.g., drag-and-drop labels), the above explains which term matches each example.)