here sample size n=0.05*500=25
a) with replacement:
k =np=25*0.5=12.5
k =sqrt(np(1-p))=sqrt(25*0.5*0.5)=2.5
b)
without replacement:
k =np=25*0.5=12.5
k =sqrt(np(1-p)*(N-n)/(N-1))=sqrt(25*0.5*0.5*(500-25)/(500-1))=2.439139
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