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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-> 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
You can put this solution on YOUR website! the proportion of the mean is 224/400 = 0.56
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standard error of the sample is square root(0.56 * (1-0.56) / 400) = 0.024
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alpha(a) = 1 - 90/100 = 0.10
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critical probability(p*) = 1 - a/2 = 0.95
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assuming a normal distribution, look for the z-score associated with 0.95 cumulative probability
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z-score = 1.645
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margin of error(ME) = 1.645 * 0.024 = 0.0395
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the confidence interval is 0.56 + or - 0.0395
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0.5205 < p < 0.5995
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