SOLUTION: 2) According to Statistics Canada, 68% of Canadians owned their own home in 2003. A local real estate office wants to see if this is the case for its area. The office selects a ra

Question 1180934: 2) According to Statistics Canada, 68% of Canadians owned their own home in 2003. A local real
estate office wants to see if this is the case for its area. The office selects a random sample of 200 people to
estimate the percentage who own their own homes.
a. Verify that the normal model can be used to approximate the binomial in this situation.
b. What is the probability that at least 140 people own their own home?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
np and n(1-p)>10
mean is np=0.68*200=136
variance is 136*0.32=43.52
sd is sqrt(V)=6.60
at least 140 people is z>(140-136)/6.60.
z > 4/6.60=0.606
probability is 0.2723

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