Question

How do I solve the final part?

%x) 7.3.41 Question Help A recent study reported that 58% of the children in a particular community were overweight or obese. Suppose a random sample of 200 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 0.55. 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 0.55 is less than the population proportion of 0.58 and because the sampling distribution is approximately Normal. O B. The answer should be greater than 50%, because the resulting z-score will be positive and the sampling distribution is approximately Normal. O C. The answer should be less than 50%, because the resulting Z-score will be negative and the sampling distribution is approximately Normal. OD. The answer should be less than 50%, because 0.55 is less than the population proportion of 0.58 and because the sampling distribution is approximately Normal. b. Calculate the probability that 55% or more of the sample are overweight or obese. ind to three decimal places as needed.)

Answer 1

Saluation given that! na 200 Pros8 -p: 0:42. al A. The answee should be grecete e than 50%, because 0.55 is less than the population - proportion of 0.58 and because the sampling - distribution is approximately Noemal. b ] The probability that 55%. E more of the Sample are ove Eweight or obese - PC Ê X 0.55) = 1 - P( P < 0.55) 1. Pip- p 0.55-0.56 - P*(1-P) Tose*ouz 200 1- Plz Day 21- P(Z h - 0.856) we ose A Nos med table - 1 -0.19 so '7, 0.55 0.805