Question

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 __.

Answer #1

Values are given as,

x1=26, n1=241

x2=30, n2=291

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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