Answer:
no of sample within two percentage points is 5409
no of sample not use prior estimates is 8321
Step-by-step explanation:
Given data
E = 2% = 0.02
male m = 21.2 % = 0.212
female f = 19.7 % = 0.197
to find out
no of sample within two percentage points and if does not use any prior estimates
solution
first we calculate no of sample within two percentage points
we know Z critical value for 99% is 2.58
so no of sample will be
n = (Z / E )² × m(1-m) + f ( 1-f )
put all the value we get no of sample
n = (2.58 / 0.02 )² × 0.212 ( 1 - 0.212 ) + 0.197 ( 1 - 0.197 )
n = 16641 ×0.3250
no of sample within two percentage points is 5409
in 2nd part no of sample not use prior estimates
here than f and m will be 0.5
than
n = (Z / E )² × m(1-m) + f ( 1-f )
put all value
n = (2.58 / 0.02 )² × 0.5 ( 1 - 0.5 ) + 0.5 ( 1 - 0.5 )
n = 16641 × 0.5
no of sample not use prior estimates is 8321
