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High levels of blood sugar are associated with an increased risk of type 2 diabetes. There...

High levels of blood sugar are associated with an increased risk of type 2 diabetes. There was a study in which 47 of 155 people with high blood sugar had type 2 diabetes. Consider this a simple random sample.

Find a 99% CI for the proportion of people with high blood sugar who have type 2 diabetes.

Math   Statistics-And-Probability   
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Answer #1

Sample proportion = x/n = 47 /155 = 0.3032

Sample size (n) = 155

Confidence interval(in %) = 99

z @ 99% = 2.576

Since we know that

Required confidence interval = (0.3032-0.0951, 0.3032+0.0951)

Required confidence interval = (0.2081, 0.3983)

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