Construct a confidence interval for p1p2 at the given level ofconfiden...

sample 1 sample 1 first sample size n1 503 number of successes sa ....

Construct a confidence interval for p1âˆ’p2 at the given level of confidence. x1= 396â€‹, n1= 503â€‹,...

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Construct a confidence interval for p1âˆ’p2 at the given level ofconfidence. x1= 396â€‹, n1= 503â€‹, x2= 424â€‹, n2= 587â€‹, 95â€‹%confidence
The researchers are ?â€‹% confident the difference between thetwo populationâ€‹ proportions,p1âˆ’p2â€‹, is between ?and ?.
â€‹(Use ascending order. Type an integer or decimal rounded tothree decimal places asâ€‹ needed.)

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sample #1Â Â ----->Â Â sample 1
first sample size, Â Â Â n1=Â Â 503
number of successes, sample 1 = Â Â Â x1=Â Â 396
proportion success of sample 1 , pÌ‚1=Â Â x1/n1=Â Â 0.7873
Â Â Â Â Â
sample #2Â Â ----->Â Â sample 2
second sample size, Â Â Â n2 = Â Â 587
number of successes, sample 2 = Â Â Â x2 = Â Â 424
proportion success of sample 1 , pÌ‚ 2=Â Â x2/n2 = Â Â 0.7223

level of significance, Î± =Â Â 0.05Â Â Â Â Â Â Â Â Â Â Â
Z critical value =Â Â Z Î±/2 = Â Â 1.960Â Â

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