help! A recent study reported that 57% of the children in a particular community were overweight or obese. Suppose a random sample of 500 public school children is taken from this community. Assume the sample was taken in such a way that the conditions for using the Central Limit Theorem are met. We are interested in findingthe probability that the proportion of overweight/obese children in the sample will be greater than 0.53. Complete parts (a) and (b) below.a. Before doing any calculations, determine whether this probability is greater than 50% or less than 50%. Why?A. The answer should be greater than 50%, because the resulting z-score will be positive and the sampling distribution is approximately Normal.O B. The answer should be less than 50%, because the resulting z-score will be negative and the sampling distribution is approximately Normal.C. The answer should be greater than 50%, because 0.53 is less than the population proportion of 0.57 and because the sampling distribution is approximately Normal.O D. The answer should be less than 50%, because 0.53 is less than the population proportion of 0.57 and because the sampling distribution is approximately Normal.b. Calculate the probability that 53% or more of the sample are overweight or obese.P(p20.53) = (Round to three decimal places as needed.)

Name: help! A recent study reported that 57% of the children in a particular
Uploaded: 2024-03-20T06:46:14.000Z
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Description: help! A recent study reported that 57% of the children in a particular community were overweight or obese. Suppose a random sample of 500 public school children is taken from this community. Assume the sample was taken in such a way that the conditio