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What is meant by the term “90% confident” when constructing a confidence interval for a proportion?...

What is meant by the term “90% confident” when constructing a confidence interval for a proportion?

A.

If we took repeated samples, approximately 90% of the confidence intervals calculated from those samples would contain the sample proportion.

B.

If we took repeated samples, approximately 90% of the samples would produce the same confidence interval.

C.

If we took repeated samples, the sample proportion would equal the population mean in approximately 90% of the samples.

D.

If we took repeated samples, approximately 90% of the confidence intervals calculated from those samples would contain the true value of the population proportion.

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Answer #1

The meaning of the term “90% confident” when constructing a confidence interval for a proportion is:

The 95% confidence interval indicates that there is 95% chance that the population mean contain in the calculated confidence interval.

Therefore the correct choice is:

D) If we took repeated samples, approximately 90% of the confidence intervals calculated from those samples would contain the true value of the population proportion.

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