MATH 2565 Lecture Notes - Vitamin D Deficiency, Sampling Distribution, Rickets
10 Jan 2013
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Pps 9 (solution: independence assumption: it is reasonable to think that the randomly selected children are mutually independent in regards to vitamin d deficiency. Randomization condition: the 2,700 children were chosen at random. 10% condition: 2,700 children are less than 10% of all english children. Success/failure condition: n p = (2,700)(0. 20) = 540 and n q = (2,700)(0. 80) = 2160 are both greater than 10, so the sample is large enough. Since the conditions are met, we can use a one-proportion z- interval to estimate the proportion of the english children with vitamin d deficiency. We are 98% confident that between 18. 2% and 21. 8% of. English children are deficient in vitamin d: about 98% of random samples of size 2,700 will produce confidence intervals that contain the true proportion of. English children that are deficient in vitamin d: pregnancy, independence assumption: there is no reason to believe that one woman"s ability to conceive would affect others.
