A paper published the results of a poll It stated that based
A paper published the results of a poll. It stated that, based on sample of 1000 married men, 51% of married men say that they would marry the same woman again. The margin of error was given as +/-4 percentage points and the confidence level was given as 99%. What does it mean that the margin of error was +/-4 percentage points?
Solution
Margin of error explains you that, sample are in distance calculated from Population Mean. Value caiculated be +/-4 from population mean in cotext of this
| Margin of Error = Z a/2 Sqrt(p*(1-p)/n)) x = Mean n = Sample Size a = 1 - (Confidence Level/100) Za/2 = Z-table value CI = Confidence Interval Mean(x)=510 Sample Size(n)=1000 Sample proportion =0.51 Margin of Error = Z a/2 * ( Sqrt ( (0.51*0.49) /1000) ) = 2.58* Sqrt(0.0002) =0.0408 |
