In a sample of 100 children, 6 were found to be Vitamin D deficient. In your work below, use the Wilson-adjusted sample proportion p̃ rather than p̂. (a) Find a 99% CI for the proportion of all children who are Vitamin D deficient. (b) Find a 95% CI for the proportion of all children who are Vitamin D deficient. (c) If the sample were 12 of 200 (rather than 6 of 100) Vitamin D deficient, compared to the CI you found in (b), the CI would now be (circle one): Narrower Wider Same

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A: a) -1 to +1 = P(-1<z<1) = P(Z<1)-P(Z<-1)  =0.8413-0.1587 =0.6826 =68.26%

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.