Question

Based on a survey of a random sample of 900 adults in the united states, a journalist reports that 60 percent of adults in the united states are in favor of increasing the minimum hourly wage. If the reported percent has a margin of error of 2. 7 percentage points, which of the following is closest to the level of confidence?.

Answer 1

Assuming the reported percent has a margin of error of 2. 7 percentage points, 90% is closest to the level of confidence.

Level of confidence

Using this formula

E=z×√p(1-p)/n

Let plug in the formula

0.027=z×√0.6(1-0.6)/900

0.027=z×√0.6×0.4/900

0.027=z×√0.24/900

0.027=z×√0.00026666

0.027=z×0.01633

z=0.027/0.01633

z=1.65

Using z table the confidence level for  z=1.65  is 90%.

Inconclusion 90% is closest to the level of confidence.

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