Suppose that 40% of all U.S. employees contribute to a retirement plan (p = 0.40). (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 66 of the 100 employees in a sample from your state contribute to a retirement plan. Would you think p = 0.40 for your state? Explain. (Round your answer to four decimal places.) If  p = 0.40, the probability that at least 66 of the 100 employees in a sample from the state contribute to a retirement plan is   . Thus, it seems unlikely that  p = 0.40 for the state.

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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Suppose that 40% of all U.S. employees contribute to a retirement plan
(p = 0.40).
(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 66 of the 100 employees in a sample from your state contribute to a retirement plan. Would you think
p = 0.40 for your state? Explain. (Round your answer to four decimal places.)
If  p = 0.40, the probability that at least 66 of the 100 employees in a sample from the state contribute to a retirement plan is

 

. Thus, it seems unlikely that  p = 0.40 for the state.

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