Question

CurPent Attempt in Progress Impact of Sample Size on Accuracy rror for sample proportions from a population with proportion p-0.35 for sample sizes of n-50.n- 300, andn - 800. Round your answers to three decimal places. Sample Size n 50: n 300: n 800: Standard Error Save for Later Check Answer Attempts:O of 3used Using multiple attempts will impact your score. 50% score reduction after attempt 2 Next > Prev Send to Gradebook Next

Answer 1

#1.

sample proportion, pcap = 0.35
sample size, n = 50
Standard error, SE = sqrt(pcap * (1 - pcap)/n)
SE = sqrt(0.35 * (1 - 0.35)/50) = 0.067

#2.

sample proportion, pcap = 0.35
sample size, n = 300
Standard error, SE = sqrt(pcap * (1 - pcap)/n)
SE = sqrt(0.35 * (1 - 0.35)/300) = 0.028

#3.

sample proportion, pcap = 0.35
sample size, n = 800
Standard error, SE = sqrt(pcap * (1 - pcap)/n)
SE = sqrt(0.35 * (1 - 0.35)/800) = 0.017