In a market research survey of 2800 motorists, 271 said that they made an obscen
ID: 3240947 • Letter: I
Question
In a market research survey of 2800 motorists, 271 said that they made an obscene gesture in the previous month. Complete parts (a) and (b) below. a. If 1 of the surveyed motorists is randomly selected, what is the probability that this motorist did not make an obscene gesture in the previous month? The probability is ___. (Round to four decimal places as needed.) b. If 50 of the surveyed motorists are randomly selected without replacement, what is the probability that none of them made an obscene gesture in the previous month? Should the 5% guideline be applied in this case? Select the correct choice below and fill in the answer box within your choice. (Round to four decimal places as needed.) A. The probability is ____. The 5% guideline should not be applied in this case. B. The probability is _____. The 5% guideline should be applied in this case.Explanation / Answer
14 )
a) probability that motorist did not make an obscene gesture = 1 - 271/2800 = 0.903214
b) n = 50 , probability that none of them made obscene gesture = (0.903214)^50 = 0.0061 .
since 0.0016 < 0.05 , the 5 % guideline should be applied in this case.
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