Which of the Following Statements Is True About the Confidence

question 8

Multiple Choice

Which of the following statements is true about the confidence interval for a population proportion?

• A)The confidence interval for a proportion will always contain the true population proportion.
• B)The confidence interval for a proportion does not need a specified confidence level.
• C)It is equal to the sample proportion plus or minus a calculated amount called the margin of error.
• D)It is equal to the population proportion plus or minus a calculated amount called the standard error.

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Definitions:

Sampling Distribution

The distribution pattern of a statistic that emerges from analyzing a large collection of samples taken from a specified group.

Sample Mean

The average value of a sample set of numbers, calculated by adding them together and dividing by the number of samples.

Central Limit Theorem

A statistical theory that states the distribution of sample means approaches a normal distribution as the sample size becomes larger, regardless of the population's distribution.

Sampling Distribution

The configuration of probability for a given statistic, determined by a random sample.