d in the proportion p of Bills fans who believe

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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2. We are interested in the proportion p of Bills fans who believe the Bills will make it to
the Super Bowl next season. A random sample of 40 fans yields 8 who believe the Bills
will make it to the Super Bowl next season.
(a) Construct a "Rule of 2" confidence interval for p. Use the “normal” method.
Also, justify using this method.
(b) At this level of confidence, what sample size n is required to ensure that the
error bound for p is not more than 0.05?
(c) Construct a confidence interval for p using Wilson's method.
Transcribed Image Text:2. We are interested in the proportion p of Bills fans who believe the Bills will make it to the Super Bowl next season. A random sample of 40 fans yields 8 who believe the Bills will make it to the Super Bowl next season. (a) Construct a "Rule of 2" confidence interval for p. Use the “normal” method. Also, justify using this method. (b) At this level of confidence, what sample size n is required to ensure that the error bound for p is not more than 0.05? (c) Construct a confidence interval for p using Wilson's method.
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