Categorical Inference II

Question 1

Constructing Confidence Intervals for the Difference Between Proportions

Answer 1

If the data between two groups are independent, the standard error of the difference between two proportions is:

〖𝑆𝐸〗_(𝑃_1−𝑃_2 )= √((𝑝_1 (1−𝑝_1))/𝑛_1 +(𝑝_2 (1−𝑝_2))/𝑛_2 )

Question 2

For creating a 95% confidence interval around the difference of proportions, in the last step (CI) how’s it different from one proportion?

Answer 2

CI = P1 MINUS P2 ± MOE

Question 3

What’s the null hypothesis and alternative hypothesis for constructing CI for the Difference Between Proportions

Answer 3

𝐻0:𝑃1− 𝑃2 = 0

𝐻𝐴:𝑃1 − 𝑃2 ≠ 0