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Provide an Appropriate Response p1>p2\mathrm { p } 1 > \mathrm { p } 2

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Provide an appropriate response.
-Test the hypothesis that p1>p2\mathrm { p } 1 > \mathrm { p } 2 . Use α=0.01\alpha = 0.01 . The sample statistics listed below are from independent samples.
Sample statistics: n1=100,x1=38\mathrm { n } _ { 1 } = 100 , \mathrm { x } _ { 1 } = 38 , and n2=140,x2=50\mathrm { n } _ { 2 } = 140 , \mathrm { x } _ { 2 } = 50

Grasp the impact of sample size on statistical estimates and confidence.
Apply hypothesis testing to evaluate changes in proportions across groups or over time.
Calculate and interpret confidence intervals for the difference between two population proportions.
Understand the impact of sampling variability on statistical conclusions.

Definitions:

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