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The difference between two sample teenage female and male depression rates is 0.07 . The estimated...

The difference between two sample teenage female and male depression rates is 0.07 . The estimated standard error of the sampling distribution is 0.040. What is the 95 percent confidence interval?

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Answer #1

confidence interval for (p1-p2)

=> (p1' - p2') - z*p1-p2 to (p1' - p2') + z*p1-p2

Now, we have

p1' - p2' = 0.07, p1-p2 = 0.040

95% confidence interval z score = 1.96

Thus, 95% confidence interval

=> (0.07 - 1.96*0.04) to (0.07+ 1.96*0.04)

=> -0.0084 to 0.1484

=> (-0.0084, 0.1484)

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