Question

east once per week of the as once per week employed indvis surveyed, 3 responded they work at home a s once per week A simple random sample of size ne individuals who are currently employed asked if they work that Constructa % confidence interval for the population proportion of employed India who work at home The lower bound is Round to three decimal places as needed) The upper bound is found to three decimal places needed)

Answer 1

sample proportion, = 0.11
sample size, n = 300
Standard error, SE = sqrt(pcap * (1 - pcap)/n)
SE = sqrt(0.11 * (1 - 0.11)/300) = 0.0181

Given CI level is 99%, hence α = 1 - 0.99 = 0.01
α/2 = 0.01/2 = 0.005, Zc = Z(α/2) = 2.58

Margin of Error, ME = zc * SE
ME = 2.58 * 0.0181
ME = 0.0467

CI = (pcap - z*SE, pcap + z*SE)
CI = (0.11 - 2.58 * 0.0181 , 0.11 + 2.58 * 0.0181)
CI = (0.063 , 0.157)

Lower Bound = 0.063
Upper Bound = 0.157

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