A Page Loading Tast submission is used for your score -17 points PfStat1 9.E.025

Question

A Page Loading Tast submission is used for your score -17 points PfStat1 9.E.025 suppose a survey revealed that 21% of 494 respondents said they had in the past sold unwanted gifts over the Internet the information to construct a 90% confidence interval for the population proportion who sold unwanted gifts over Internet, rounding your margin of error to the nearest hundredth. (Round your answers to two decimal places.) (b) use the information to construct a 98% confidence interval for the population proportion who sold unwanted gifts ove Internet, rounding your margin of error to the nearest hundredth. (Round your answers to two decimal places.) (c) Which interval has a higher probability of containing the true population proportion? O the 90% confidence interval O the 98% confidence interval (d) which interval is narrower? O the 90% confidence interval O the 98% confidence interval Need Help? Read it Talk to a Tutor

Explanation / Answer

a) p=0.21 ; n=494

hence std error =(p(1-p)/n)1/2 =0.018

for 90% CI; z=1.28

hence confidence interval =p -/+ z*std error =0.18 ; 0.24

b) for 98% CI, z=2.326

hence confidence interval =p -/+ z*std error =0.17 ; 0.25

c)98% confidence interval

d)90% confidence interval

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