Which of the following statements regarding a 90% Confidence Interval are correc

Question

Which of the following statements regarding a 90% Confidence Interval are correct: We are 90% confident that given interval contains an unknown Population Parameter. 90 out of 100 such intervals contain an unknown Population Parameter. There is a 90% chance that given interval contains an unknown Population Parameter. All statements are correct 1 and 2 are correct 2 and 3 are correct 1 and 3 are correct All statements are incorrect Answer Submitted: Your final submission will be graded after the due date. When sampling from the same Population, using a fixed Sample size, which one of the following Confidence Intervals will be the widest? 90% CI 95% CI 99% CI All of them will have the same width When sampling from the same Population, using a fixed Confidence Level, the narrowest Confidence Interval will correspond to a Sample of size: n = 80 n = 100 n = 30 All of them will have the same width

Explanation / Answer

1. Confidence interval is a range of values so defined that there is a specified probability that the value of a parameter lies within it. Based on this 1 and 3 are correct

2. As we increase the confidence interval width with increase with them, so 99% CI will be widest.

3. As n is in denominator of Margin of Error, its big value will narrow down the CI, so n=100

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