When testing the difference between two proportions, one sample had 30 out of 100 who were for capital punishment, and the other sample had 60 out of 80 who were for capital punishment. Calculate the
Standard error.
A) 0.075
B) 0.060
C) 0.042
D) 0.098

Question

Quizplus · Accepted Answer

The standard error is calculated as sqrt((p1*(1-p1)/n1) + (p2*(1-p2)/n2)), where p1 and p2 are the sample proportions and n1 and n2 are the sample sizes. In this case, p1 = 30/100 = 0.3, p2 = 60/80 = 0.75, n1 = 100, and n2 = 80. Plugging these values into the formula, we get sqrt((0.3*(1-0.3)/100) + (0.75*(1-0.75)/80)) = 0.075.

When Testing the Difference Between Two Proportions, One Sample Had