SOLUTION: Suppose that in a population of voters in a certain region 38% are in favor of particular bond issue. Nine hundred randomly selected voters are asked if they favor the bond issue

Click here to see ALL problems on Probability-and-statistics

Question 1200946: Suppose that in a population of voters in a certain region 38% are in
favor of particular bond issue. Nine hundred randomly selected voters are asked if they favor
the bond issue.
(a) Verify that the sample proportion pˆ computed from samples of size 900 meets the condition that its sampling distribution be approximately normal.
(b) Find the probability that the sample proportion computed from a sample of size 900 will
be within 5 percentage points of the true population proportion.
Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website!
np and n(1-p) both are >10. Yes.
error=z*sqrt(p(1-p)/n for z interval.
0.05=z*sqrt(0.38*0.62/900)
z<3.09 and that probability of no error is the probability of z between +/- 3.09 or 0.9980