A recent study reported that 52% of the children in a particular community were overweight or obese. Suppose a random sample of 300 public school children is taker 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 nding the probability that the proportion of ovenvveightiobese children in the sample will be greater than 0.49. 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 less than 50%, because the resulting z-score will be negative and the sampling distribution is approximately Normal. ' B. The answer should be less than 50%, because 0.49 is less than the population proportion of 0.52 and because the sampling distribution is approximately Normal ' C. The answer should be greater than 50%, because the resulting zscore will be positive and the sampling distribution l5 approximately Normal. 3 D. The answer should be greater than 50%, because 0.49 is less than the population proportion of 0.52 and because the sampling distribution is approximately Normal b. Calculate the probability that 49% or more ofthe sample are overweight or obese. P (62 0.49] = 1 (Round to three decimal places as needed.)