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The bureau of labor statistics reported in a recent year that’s 16% of US nonfarm workers...

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Basic Math

The bureau of labor statistics reported in a recent yearthat’s 16% of US nonfarm workers government employees. A randomsample of 50 workers is drawn.
A) is it appropriate to use a normal approximation to find theprobability that than 20% of the individuals in the sample aregovernment employees? If so find the probability if not explain whynot.
B) A new sample of 90 workers is chosen find the probabilitythat more than 20% of workers in the sample are governmentemployees
C) find the probability that the proportion of workers in thesample of 90 who ate government employees is between .15 and.18
D) find the probability that less than 25% of workers in thesample of 90 are government employees
E) would it be an usual if the portion of government employeesin a sample of 90 was greater than .25

Answer & Explanation Solved by verified expert
3.8 Ratings (480 Votes)
Here we haven50 p 016ASince np30 and n1p 20 are greater than 5 so normalapproximation is appropriateThe sampling distribution of sample proportion will beapproximately    See Answer
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