I have computed an 80% confidence interval for a sample. This question was asked

Question

I have computed an 80% confidence interval for a sample. This question was asked after that.

What does the phrase 80% confident” mean? Circle correct statements (could be one or more) and correct the statements you didn’t circle.

(i)There is a 0.80 probability that the true population proportion will be included in the confidence interval computed above. (ii)There is a 0.80 probability that the sample proportion will be included in the confidence interval computed above. (iii) If we sample repeatedly, about 80% of the confidence intervals will contain the true population proportion. (iv) If we sample 100 times, 0.80 of the confidence intervals will cover the true population proportion.

Explanation / Answer

I have computed an 80% confidence interval for a sample. This question was asked after that.

What does the phrase 80% confident” mean? Circle correct statements (could be one or more) and correct the statements you didn’t circle.

ANSWER :

(i)There is a 0.80 probability that the true population proportion will be included in the confidence interval computed above.

(iii) If we sample repeatedly, about 80% of the confidence intervals will contain the true population proportion.

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