Explain what \"95% confidence\" means in a 95% confidence interval. What does \"

Question

Explain what "95% confidence" means in a 95% confidence interval.

What does "95% confidence" mean in a 95% confidence interval?

A. The probability that the value of the parameter lies between the lower and upper bounds of the interval is 95%. The probability that it does not is 55%.

B. If 100 different confidence intervals are constructed, each based on a different sample of size n from the same population, then we expect 95 of the intervals to include the parameter and 55 to not include the parameter.

C. The confidence interval includes 95% of all possible values for the parameter.

D. The value of the parameter lies within 95% of a standard deviation of the estimate.

Explanation / Answer

A confidence levels referes to percentage of all possible samples that can be expected to include the true value of population paraeter.

95% confidence level implies that 95% confidence intervals would include the true value of population parameter.

for example: The 95% confidence interval of the propertion of success in an examination is (0.45, 0.55).

It mean that I am 95% confident that the propertion of success in an examination is between 45% and 55%.

So the Correct Answer C

The confidence interval includes 95% of all possible values for the parameter.

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