3. Using data from a random sample from a population, we construct both a 90% co

Question

3. Using data from a random sample from a population, we construct both a 90% confidence vals interval and a 80% confidence interval for the population proportion. How will these inter differ? (a) The 90% interval will be wider than the 80% interval. (b) The 90% interval will be narrower than the 80% interval. (c) Which interval is wider will depend on whether the sample is unbiased. (d) Which interval is wider will depend on how large the sample is. (e) Which intea wder ill depend on whether the normal approximation is used to create the intervals.

Explanation / Answer

As we increase the confidence level, the confidence interval gets wider. Hence,

The 90% confidence interval will be wider than the 80% interval.

Option A is correct.

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