Suppose that 39% of all U.S. employees contribute to a retirement plan (p = 0.39).   (a) In a random sample of 100 employees, what is the approximate probability that at least half of those in the sample contribute to a retirement plan? (Round your answer to four decimal places.) _____?______   (b) Suppose you were told that at least 60 of the 100 employees in a sample from your state contribute to a retirement plan. Would you think p =

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.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 15CR
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Suppose that 39% of all U.S. employees contribute to a retirement plan (p = 0.39).
 
(a) In a random sample of 100 employees, what is the approximate probability that at least half of those in the sample contribute to a retirement plan? (Round your answer to four decimal places.) _____?______
 
(b) Suppose you were told that at least 60 of the 100 employees in a sample from your state contribute to a retirement plan. Would you think p = 0.39 for your state? Explain. (Round your answer to four decimal places.)
 
If p = 0.39, the probability that at least 60 of the 100 employees in a sample from the state contribute to a retirement plan is _____?______. Thus, it seems unlikely that p = 0.39 for the state.
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