In: Math
The American Bankers Association reported that, in a sample of 120 consumer purchases in France, 58 were made with cash, compared with 32 in a sample of 60 consumer purchases in the United States. Construct a 99 percent confidence interval for the difference in proportions. (Round your intermediate value and final answers to 4 decimal places.) The 99 percent confidence interval is from __ to __ .
We have given,
x1=58
n1=120
x2=32
n2=60
Level of significance = 0.01
Z critical value (by using Z table)=2.576
Estimate for sample proportion 1
Estimate for sample proportion 2
Confidence interval formula is
=(-0.2533,0.1533)
Lower limit for confidence interval=-0.2533
Upper limit for confidence interval is=
0.1533