Answers
The formula for the confidence interval for sample proportion is:
where,
are the sample proportion in which we are interested.
So,
and
we have to find for 99% confidence interval, we need to look up at the Z- table.
i.e.
Now, the margin of error =
Thus, the confidence interval obtained as:
at 99% confidence level.
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1-24/(1.) <P < Þ+z/p(1. – )
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p = 47 100 = 0.47
47 1 - p = 1- * 100 = 1 -0.47 = 0.53
Z2 = 20.99 = 20.495 = 2.58
2.58 * / 0.47 +0.53 " = 2.58 +0.0499 = 0.1287 100
0.47 -0.1287 < P < 0.47 +0.1287 0.3413 < P < 0.5987
.
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