SOLUTION: Out of 400 people sampled, 224 had kids. Based on this, construct a 90% confidence interval for the true population proportion of people with kids.
Give your answers as decimals
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Question 1120862: Out of 400 people sampled, 224 had kids. Based on this, construct a 90% confidence interval for the true population proportion of people with kids.
Give your answers as decimals, to three places
_____ < p < _____
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
the proportion of the mean is 224/400 = 0.56
:
standard error of the sample is square root(0.56 * (1-0.56) / 400) = 0.024
:
alpha(a) = 1 - 90/100 = 0.10
:
critical probability(p*) = 1 - a/2 = 0.95
:
assuming a normal distribution, look for the z-score associated with 0.95 cumulative probability
:
z-score = 1.645
:
margin of error(ME) = 1.645 * 0.024 = 0.0395
:
the confidence interval is 0.56 + or - 0.0395
:
*********************************************
0.5205 < p < 0.5995
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