Question

# Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1...

Consider the following results for independent samples taken from two populations.

 Sample 1 Sample 2 n1 = 500 n2= 300 p1= 0.43 p2= 0.36

a. What is the point estimate of the difference between the two population proportions (to 2 decimals)?

b. Develop a 90% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table.
to

c. Develop a 95% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table.
to

The statistical software output for this problem is:

Two sample proportion summary confidence interval:

p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions

90% confidence interval results:

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. L. Limit U. Limit
p1 - p2 215 500 108 300 0.07 0.035471115 0.011655208 0.12834479

95% confidence interval results:

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. L. Limit U. Limit
p1 - p2 215 500 108 300 0.07 0.035471115 0.00047789217 0.13952211

Hence,

a) Point estimate = 0.07

b) 90% confidence interval:

(0.0117, 0.1283)

c) 95% confidence interval:

(0.0005, 0.1395)