h A recent study reported that 29% of the residents of a particular community lived in poverty. Suppose a random sample of 300 residents of this community is taken. We wrsh to determrne 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? C) A. The answer should be less than 50%. because the resulting z-soore will be negative and the sampling distribution is approximately Nam-rel. O B. The answer should be less than 50%. because 0.34 is greater than the population proportion of 0.29 and because the sampling distribution is approximately Non'nal. ' O C. The answer should be greater than 50%, because 0.34 is greater than the population proportion of 0.29 and because the sampling distribution is approximately Normal. 0 D. The answer should be greater than 50%, because the resulting z-score will be positive and 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. P620154] = E] (Round to three decimal places as needed.)