A recent study reported that 30% of the residents of a particular community lived in poverty. Suppose a random sample of 300 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 caloulations, determine whether this probability is greater than 50% or less than 50%. Why? 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 OR. 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 OC The answer should be greater than 50%, because the resulting z-score will be positive and the sampling distribution is appraximately Normal. OD The answer should be less than 50%, because the resulting z-score wil be negative and the sampling distribution is approximately Normal - Calculate the probablity 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. Ga034) -Round to three decimal piaces as nended.)

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A recent study reported that 30% of the residents of a particular community lived in poverty. Suppose a random sample of 300 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?
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.
B. 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.
OC. The answer should be greater than 50%, because the resulting z-score will be positive and the sampling distribution is approximately Normal.
OD. The answer should be less than 50%, because the resulting z-score will be negative 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.
P(620.34) -O (Round to three decimal places as needed.)
Transcribed Image Text:A recent study reported that 30% of the residents of a particular community lived in poverty. Suppose a random sample of 300 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? 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. B. 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. OC. The answer should be greater than 50%, because the resulting z-score will be positive and the sampling distribution is approximately Normal. OD. The answer should be less than 50%, because the resulting z-score will be negative 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. P(620.34) -O (Round to three decimal places as needed.)
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