1. A random sample of children is surveyed and asked to name their favorite candy. The proportion of the sample who say their favorite candy is Reese's Peanut Butter Cups is 0.36. Imagine that data from this sample is used to construct a confidence interval in order to estimate the proportion of all children whose favorite candy is Reese's Peanut Butter Cups. Look carefully at the five confidence intervals presented below. Which one of these intervals could not possibly be a proper interval based on what you know about this sample?

A. 0.32 to 0.40

B. 0.29 to 0.43

C. 0.28 to 0.38

D. 0.34 to 0.38

E. 0.30 to 0.42

1. What proportion of undergraduate students at a large university are in favor of plans to increase the number of online course offerings? When a college administrator surveys a random sample of undergraduate students and constructs a 95% confidence interval, she reports the interval as being from 0.356 to 0.397. If the administrator had constructed a 90% confidence interval instead of a 95% confidence interval, the 90% confidence interval would have been

1. wider and would have a smaller chance of missing the true population proportion.
2. narrower and would have a smaller chance of missing the true population proportion.
3. wider and would have a larger chance of missing the true population proportion.
4. narrower and would have a larger chance of missing the true population proportion.
5. wider, but the chance of missing the true population proportion cannot be determined.

1. True or False? Doubling the population size will result in a more narrow confidence interval.