Question

In: Statistics and Probability

In the United States, 7.8% of the population has diabetes. The CDC compiles data from an...

In the United States, 7.8% of the population has diabetes. The CDC compiles data from an SRS of 1200 people.

a.What would be the mean number of people who have diabetes from such a sample? What would be the standard deviation?

b.Use the Normal approximation to estimate the probability that at least 115 people (out of the 1200) would have diabetes?

Solutions

Expert Solution

p = 0.078

n = 1200

a) mean = n * p = 1200 * 0.078 = 93.6

sd = sqrt(n * p * (1 - p)) = sqrt(1200 * 0.078 * (1 - 0.078)) = 9.29

b)

                                    

                                     = P(Z > 2.25)

                                     = 1 - P(Z < 2.25)

                                     = 1 - 0.9878

                                     = 0.0122

orchestra answered 1 year ago
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