Construct a confidence interval for p1−p2 at the given level of confidence.
x1=26, n1=241, x2=30, n2=291, 95% confidence
The researchers are __% confident the difference between the two population proportions, p1−p2, is between __ and __.
Values are given as,
z= 1.96 (critical value of 95%)
Calcultaing = (x1/n1)= (26/241) = 0.108
Calcultaing = (x2/n2)= (30/291) = 0.103
Calculating 95% confidence interval for p1−p2 :
Putting the values
CI= -0.0475 <p1−p2< 0.0575
The researchers are 95% confident the difference between the two population proportions, p1−p2, is between -0.0475 and 0.0575.
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