Question

20 POINTS
Suppose a researcher wants to use a confidence interval to estimate an unknown population proportion p. Which of the following is not a correct statement?


The endpoints of the interval can vary with each new sample.

The endpoints of the interval can vary with each new sample.
A

The probability that p is in the interval is equal to the level of confidence for the interval.

The probability that p is in the interval is equal to the level of confidence for the interval.
B

Whether the interval captures p is not known with certainty.

Whether the interval captures p is not known with certainty.
C

The population proportion p is fixed, but the sample proportion pˆ can vary from sample to sample.

The population proportion p is fixed, but the sample proportion p hat can vary from sample to sample.
D

The interval either does or does not capture p.

Answer 1

Answer:

The probability that p is in the interval is equal to the level of confidence for the interval.

Explanation:

This is not a correct statement. The level of confidence is not equal to the probability that p is in the interval.

Answer 2

Answer:

The answer is the probability that p is in the interval is equal to the level of confidence for the interval.

Explanation:

Think about the level of confidence which shows this answer choice is incorrect.