Arecent 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 finding the 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 0.53 is less than the population proportion of 0.57 and because the sampling distribution is approximately normal. your answer is correct. b. the answer should be less than 50%, because the resultingz-score will be negative and the sampling distribution is approximately normal. c. the answer should be greater than 50%, because the resulting z-score will be positive and the sampling distribution is approximately normal. 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 (p≥0.53) =