Determine the point estimate of the population proportion, the margin of error for the following confidence interval, and the number of individuals in the sample with the specified characteristic, x, for the sample size provided.
Lower bound equals=0.3880.388,
upper bound equals=0.5920.592,
n equals=1200
Solution:
We know , the confidence interval is nothing but
Point estimate Margin of error
So ,
Lower bound = Point estimate - Margin of error
Upper bound = Point estimate + Margin of error
1) Point estimate = (Upper bound + Lower Bound)/2
= (0.592 + 0.388)/2
= 0.49
2) Margin of error = (Upper bound - Lower Bound)/2
= (0.592 - 0.388)/2
=0.102
3) Given that
n = 1200
We know that
= x/n
So , x = n *
= n * Point estimate = 1200 * 0.49 = 588
the number of individuals in the sample with the specifiedcharacteristic x = 588
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