Question

1000 randomly selected Canadians were asked if they believed the minimun wage should be raised. 58%...

1000 randomly selected Canadians were asked if they believed the minimun wage should be raised. 58% said yes. Construct a 95% confidence interval for the proprotion of Canadians who believe that the minimum wage should be raised.

a) We have 95% confidence that the interval .5328≤ρ≤ .6272 will contain the proprotion of all Canadians who believe that the minimum wage should be raised.

b) We have 95% confidence that the interval .5398 ≤ρ≤.6202will contain the proprotion of all Canadians who believe that the minimum wage should be raised.

c) We have 95% confidence that the interval .5494 ≤ρ≤.6106 will contain the proprotion of all Canadians who believe that the minimum wage should be raised.

d) We have 95% confidence that the interval .5604 ≤ρ≤ .5996will contain the proprotion of all Canadians who believe that the minimum wage should be raised.

Math   Statistics-And-Probability   
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Answer #1

95% confidence interval for p is

- Z * sqrt ( ( 1 - ) / n) <= p <= + Z * sqrt ( ( 1 - ) / n)

0.58 - 1.96 * sqrt( 0.58 * 0.42 / 1000) <= p <= 0.58 + 1.96 * sqrt( 0.58 * 0.42 / 1000)

0.5494 <= p <= 0.6106

We have 95% confidence that the interval 0.5494 <= p <= 0.6106 will contain the proportion of all canadians

who believe that the minimum wage should be raised.

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