Test the Hypothesis That $\mathrm { p } _ { 1 } > \mathrm { p } _ { 2 }$

question 29

Essay

Test the hypothesis that $\mathrm { p } _ { 1 } > \mathrm { p } _ { 2 }$ Use α=0.01 . The sample statistics listed below are from independent samples.
Sample statistics: $\mathrm { n } _ { 1 } = 100 , \mathrm { x } _ { 1 } = 38 , \text { and } \mathrm { n } _ { 2 } = 140 , \mathrm { x } _ { 2 } = 50$

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Definitions:

Pain management

A branch of medicine focused on reducing pain and improving the quality of life for those suffering from acute or chronic pain.

Emotional care

Providing support that addresses the emotional and psychological well-being of an individual.

Selective optimization

A strategy of focusing on and optimizing key areas of functioning while compensating for declines in other areas, often used in the context of aging.

Compensation

The act of making amends for something inadequate or a loss, often referring to payment given for work done or for the settlement of a claim.