6% of all applications were from A minority representation group accuses a major

Question

6% of all applications were from A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. Exactly minority members, and exactly 14% of the 2100 open positions were filled by members of the minority. a. Find the mean of p, where p is the proportion of minority member applications in a random sample of 2100 that is drawn from all applications. b. Find the standard deviation of p. c. Compute an approximation for P ps 0.14) which is the probability that there will be 4% or fewer minority member applications in a random sample of 2100 drawn from all applications. Round your answer to four decimal places.

Explanation / Answer

a)

mean of phat=0.16

b)std deviation of phat=(p*(1-p)/n)1/2 =0.0080

c)

P(phat<0.14)=P(Z<(0.14-0.16)/0.0080)=P(Z<-2.50)=0.0062

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