Overweight Children The Ventura County Star (June 20, 2012) reported on a study of children in public schools in California that looked at the proportion of overweight or obese children. In Huntington Park (a small city outside Los Angeles), 53 % of the children were overweight or obese; this was the highest rate found in any city in California. Suppose a random sample of 200 public school children is taken from Huntington Park. Assume the sample was taken in such a way that the conditions for using the Central Limit Theorem are met. We are interested in finding the probability that the proportion of overweight/obese children in the sample will be greater than 0.50. a. Without doing any calculations, determine whether this probability is greater than 50 % or if it is less than 50 % . Explain. b. Calculate the probability that 50 % or more are overweight or obese.
Overweight Children The Ventura County Star (June 20, 2012) reported on a study of children in public schools in California that looked at the proportion of overweight or obese children. In Huntington Park (a small city outside Los Angeles), 53 % of the children were overweight or obese; this was the highest rate found in any city in California. Suppose a random sample of 200 public school children is taken from Huntington Park. Assume the sample was taken in such a way that the conditions for using the Central Limit Theorem are met. We are interested in finding the probability that the proportion of overweight/obese children in the sample will be greater than 0.50. a. Without doing any calculations, determine whether this probability is greater than 50 % or if it is less than 50 % . Explain. b. Calculate the probability that 50 % or more are overweight or obese.
Solution Summary: The author explains that the probability of the proportion of overweight/obese children in the sample will be greater than 0.5 is greater or less than 50%.
Overweight Children The Ventura County Star (June 20, 2012) reported on a study of children in public schools in California that looked at the proportion of overweight or obese children. In Huntington Park (a small city outside Los Angeles),
53
%
of the children were overweight or obese; this was the highest rate found in any city in California. Suppose a random sample of 200 public school children is taken from Huntington Park. Assume the sample was taken in such a way that the conditions for using the Central Limit Theorem are met. We are interested in finding the probability that the proportion of overweight/obese children in the sample will be greater than 0.50.
a. Without doing any calculations, determine whether this probability is greater than
50
%
or if it is less than
50
%
. Explain.
b. Calculate the probability that
50
%
or more are overweight or obese.
Statistics for Business & Economics, Revised (MindTap Course List)
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