Construct a 95% Confidence Interval For $\mathrm { p } _ { 1 } - \mathrm { p } _ { 2 }$

question 19

Multiple Choice

Construct a 95% confidence interval for $\mathrm { p } _ { 1 } - \mathrm { p } _ { 2 }$ The sample statistics listed below are from independent samples.
Sample statistics: $\mathrm { n } _ { 1 } = 50 , \mathrm { x } _ { 1 } = 35 , \text { and } \mathrm { n } _ { 2 } = 60 , \mathrm { x } _ { 2 } = 40$

• A) (-0.141,0.208)
• B) (-0.871,0.872)
• C) (-1.341,1.781)
• D) (-2.391,3.112)

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Definitions:

Hearing Loss

A partial or total inability to hear. It can occur in one or both ears and range from mild to severe.

Loud Noises

Intense auditory stimuli that can potentially cause hearing loss or stress, often considered undesirable or disruptive.

Color Vision Theories

The explanations and hypotheses that describe how the human eye perceives colors, including the trichromatic and opponent-process theories.

Trichromatic Theory

A theory of color vision that explains how humans perceive color through the response of three types of cones sensitive to different wavelengths.