Question

In: Statistics and Probability

a) Use the normal distribution to find a confidence interval for a difference in proportions p1-p2...

a) Use the normal distribution to find a confidence interval for a difference in proportions p1-p2 given the relevant sample results. Assume the results come from random samples.

A 99% confidence interval for p1-p2 given that p^1=0.76 with n1=590 and p^2=0.67 with n2=260

Give the best estimate for p1-p2, the margin of error, and the confidence interval.

Round your answer for the best estimate to two decimal places and round your answers for the margin of error and the confidence interval to three decimal places.

Best estimate : ___________________

Margin of error : __________________

Confidence interval :_______________ to ____________________

b) Use the normal distribution to find a confidence interval for a difference in proportions p1-p2 given the relevant sample results. Assume the results come from random samples.

A 90% confidence interval for p1-p2 given counts of 103 yes out of 120 sampled for Group 1 and 33 yes out140 sampled for Group 2

Give the best estimate for p1-p2, the margin of error, and the confidence interval.

Round your answers to three decimal places.

Best estimate : ___________________

Margin of error : __________________

Confidence interval :_______________ to ____________________

Solutions

Expert Solution

where p1^-p2^ portion is the best estimate and the remaining denotes the margin of error.


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