Construct a confidence interval for p1−p2 at the given level of confidence. x1= 396​, n1= 503​,...
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Construct a confidence interval for p1−p2 at the given level ofconfidence. x1= 396​, n1= 503​, x2= 424​, n2= 587​, 95​%confidence
The researchers are __?__​% confident the difference between thetwo population​ proportions,p1−p2​, is between __?__and __?__.
​(Use ascending order. Type an integer or decimal rounded tothree decimal places as​ needed.)
Construct a confidence interval for p1−p2 at the given level ofconfidence. x1= 396​, n1= 503​, x2= 424​, n2= 587​, 95​%confidence
The researchers are __?__​% confident the difference between thetwo population​ proportions,p1−p2​, is between __?__and __?__.
​(Use ascending order. Type an integer or decimal rounded tothree decimal places as​ needed.)
Answer & Explanation Solved by verified expert
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
x1/n1=Â Â 0.7873
    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 =
  424
proportion success of sample 1 , p̂ 2=  x2/n2 =
  0.7223
level of significance, α =  0.05 Â
        Â
Z critical value =  Z α/2 =  Â
1.960Â Â
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