― 2. Which is true about a 98% confidence interval for a population proportion based on a given sample? I. We are 98% confident that other sample proportions will be in our interval. II. There is a 98% chance that our interval contains the population proportion. III. The interval is wider than a 95% confidence interval would be. A) None B) I only C) II only D) III only E) I and II 3. We have calculated a confidence interval based on a sample of size n = 100. Now we want to get a better estimate with a margin of error that is only one-fourth as large. How large does our new sample need to be? A) 25 B) 50 D) 400 E) 1600 C) 200

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Please help with questions 2 and 3 and try to provide as much explanation as possible.
2. Which is true about a 98% confidence interval for a population proportion based on a given
sample?
I. We are 98% confident that other sample proportions will be in our interval.
II. There is a 98% chance that our interval contains the population proportion.
III. The interval is wider than a 95% confidence interval would be.
A) None B) I only
C) II only D) III only E)I and II
3. We have calculated a confidence interval based on a sample of size n = 100. Now we want to
get a better estimate with a margin of error that is only one-fourth as large. How large does
our new sample need to be?
A) 25 B) 50 C) 200 D) 400
E) 1600
Transcribed Image Text:2. Which is true about a 98% confidence interval for a population proportion based on a given sample? I. We are 98% confident that other sample proportions will be in our interval. II. There is a 98% chance that our interval contains the population proportion. III. The interval is wider than a 95% confidence interval would be. A) None B) I only C) II only D) III only E)I and II 3. We have calculated a confidence interval based on a sample of size n = 100. Now we want to get a better estimate with a margin of error that is only one-fourth as large. How large does our new sample need to be? A) 25 B) 50 C) 200 D) 400 E) 1600
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