9.4.5 Question Help * A simple ando m sample of size n = 350 ndividuals who are

Question

9.4.5 Question Help * A simple ando m sample of size n = 350 ndividuals who are currently employed is asked f they work at home at kast once per week Of the 350 employed individuals surveyed 32 responded that they did work at home at least once per week Construct a 99% confidence interval for he population popotion of employed m en uais who work at home at least once per week The lower bound is(Round to three decimal places as needed.) xam pm : 3 eda ding Test apter 10) Enter your answer in the answer box and then click Check Answer Clear A

Explanation / Answer

Sample proportion p=x/n

                              =32/35

                             =0.0914

z*= 2.58 at 99% CI.
n =350

margin of error, E = sqrt(p*(1-p)/n)*z*
                         = sqrt(0.0914*(1-0.0914)/350)*2.58
                         = 0.0247

99% CI = (p - E, p + E)
= (0.0914- 0.0247, 0.0914+ 0.0247)
= (0.0667 , 0.1161)

Therefore the lower bound is 0.0667

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