SOLUTION: Suppose in fact 60% of all Filipino adults between the ages of 30 and 39 exercises at least 3 days per week. If we take a random sample of 100 Filipino adults in their 30s, what is

Question 1161984: Suppose in fact 60% of all Filipino adults between the ages of 30 and 39 exercises at least 3 days per week. If we take a random sample of 100 Filipino adults in their 30s, what is the probability that at least 70% of them exercise at least 3 days per week?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
We would expect 60 to exercise 3 days a week, n*p=100*0.60
the variance would be np(1-p)=60*0.4=24
sd is sqrt (V)=4.9
normal approximation would be z>(69.5-60)/4.9, with continuity correction factor, and that is z>1.939 with probability of 0.0263
can do a binomial using 1-binomcdf(100,0.6,69), because the binomial looks from the left and we want what is to the right.
This is exact and the answer is 0.0248
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