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AP Statistics 3.1 Introducing Statistics: Do the Data We Collected Tell the Truth? - MCQs - Exam Style Questions

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Question

A bank surveyed all of its \(60\) employees to determine the proportion who participate in volunteer activities. Which of the following statements is true?
(A) The bank should not use the data from this survey because this is an observational study.
(B) The bank can use the result of this survey to prove that working for the bank causes employees to participate in volunteer activities.
(C) The bank did not select a random sample of employees, so the survey will not provide the bank with useful information.
(D) The bank would have to use the survey data to construct a confidence interval in order to estimate the proportion of employees who participate in volunteer activities.
(E) The bank does not need to use an inference procedure to determine the proportion of employees who participate in volunteer activities because the survey was a census of all employees.
▶️ Answer/Explanation
Detailed solution

1. Identify the Study Type:
The bank surveyed **all** of its \(60\) employees. When data is collected from the entire population of interest, it is called a **census**.

2. Purpose of Inference:
Statistical inference (like confidence intervals and hypothesis tests) is used to draw conclusions about a population based on data from a sample. Since the bank has data for the entire population, there is no uncertainty and no need to infer. The bank can directly calculate the true proportion.
✅ Answer: (E)

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