Suppose 51% of politicians are lawyers. If a random sample of size 723 is selected, what is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by greater than 4%? Round your answer to four decimal places.
population proportion ,p= 0.51
n= 723
std error , SE = √( p(1-p)/n ) = 0.0186
P ( |p̂ -p| > 0.04 ) =2*P(Z > ( p̂ - p )/SE) =2*P(Z> (
0.04 ) / 0.0186 ) = 2*P(Z >
2.152 ) = 2*0.0157 =0.0314
the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by greater than 4% is 0.0314
Suppose 51% of politicians are lawyers. If a random sample of size 723 is selected, what...
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