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
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.

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