A recent study reported that 30% of the residents of a particular community lived in poverty. Suppose a random sample of 500 residents of this community is taken. We wish to determine the probability that 34% or more of our sample will be living in poverty. Complete parts (a) and (b) below. a. Before doing any calculations, determine whether this probability is greater than 50% or less than 50%. Why? 0 A. The answer should be less than 50%, because 0.34 is greater than the population proportion of 0.30 and because the sampling distribution is approximately Normal. 0 B. The answer should be less than 50%, because the resulting z-score will be negative and the sampling distribution is approximately Normal. O C. The answer should be greater than 50%, because the resulting z-score will be positive and the sampling distribution is approximately Normal. 0 D. The answer should be greater than 50%, because 0.34 is greater than the population proportion of 0.30 and because the sampling distribution is approximately Normal. b. Calculate the probability that 34% or more of the sample will be living in poverty. Assume the sample is collected in such a way that the conditions for using the CLT are met. P (6 2 0.34) = (Round to three decimal places as needed.)