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

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

Group of answer choices:

(A) It is equal to the population proportion plus or minus a calculated amount called the standard error.

(B) It is equal to the sample proportion plus or minus a calculated amount called the margin of error.

(C) The confidence interval for a proportion will always contain the true population proportion.

(D) The confidence interval for a proportion does not need a specified confidence level.

Math   Statistics-And-Probability   
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Answer #1

Here' the answer to the question. Please let me know in case you've doubts.

The confidence interval uses the following:

a. The sample proportion and the margin of error. Confidence interval also defines the width of margin of error
b. The sample proportion and the sample size.
c. The number of individuals in the sample with the trait of interest, and the total sample size

Hence, it is not A) , as A suggests we use population proportion / parameter and standard error. We use a sample statistic and margin error instead

B is correct

C is INCORRECT as confidence interval may or may not contain the true population proportion

D is also INCORRECT as a confidence interval is defined by the confidence level / %age

Hence, Correct Answer is B

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