What is a 90% confidence interval for p1 p2?

What is a 90% confidence interval for p1 p2?

Interpretation: I am 90% confident that the proportion of claims for $50 or more made against Company A is between . 005 and . 065 larger than the proportion made against Company B….CONFIDENCE INTERVAL FOR P1-P2.

Company A Company B
Number of shipments sampled 326 402
Number of claims for $50 or more 26 18

What is the 90% confidence interval?

With a 90 percent confidence interval, you have a 10 percent chance of being wrong. A 99 percent confidence interval would be wider than a 95 percent confidence interval (for example, plus or minus 4.5 percent instead of 3.5 percent).

Which interval is the 90% confidence interval for the difference between the proportions of both populations?

The 90% confidence interval is [−0.20,−0.06]. We are 90% confident that the difference in the population proportions lies in the interval [−0.20,−0.06], in the sense that in repeated sampling 90% of all intervals constructed from the sample data in this manner will contain p1−p2.

What is the standard deviation for 90 confidence interval?

The standard deviation for each group is obtained by dividing the length of the confidence interval by 3.92, and then multiplying by the square root of the sample size: For 90% confidence intervals 3.92 should be replaced by 3.29, and for 99% confidence intervals it should be replaced by 5.15.

How do you find the 95 confidence interval?

For a 95% confidence interval, we use z=1.96, while for a 90% confidence interval, for example, we use z=1.64. Pr(−z

What is the alpha value for a 90 confidence interval?

Confidence (1–α) g 100% Significance α Critical Value Zα/2
90% 0.10 1.645
95% 0.05 1.960
98% 0.02 2.326
99% 0.01 2.576