Find a 90 Percent Confidence Interval for the Difference Between $\hat { p } _ { 1 }$

question 65

Essay

Find a 90 percent confidence interval for the difference between the proportions of failures in factory 1 and factory 2,where $\hat { p } _ { 1 }$
= .05, $\hat { p } _ { 2 }$
= .04,n₁ = 500,n₂ = 2000.

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Definitions:

Other-Race Effect

A bias toward recognizing faces of the race one has the most exposure to, typically their own race.

Ingroup Bias

The inclination to prefer one's own group to other groups.

Outgroup Homogeneity

The tendency to view members of an outgroup as more similar to each other than they actually are, often leading to stereotypes.

Other-Race Effect

The predisposition for easier recognition of faces belonging to the race one is most used to, often their own race.