A Two-Proportions Z-Test Is to Be Performed Using the P-Value

question 42

Multiple Choice

A two-proportions z-test is to be performed using the P-value approach. Use the given sample data to find the P-valuefor the hypothesis test.
- $$\mathrm { x } _ { 1 } = 11 , \mathrm { n } _ { 1 } = 200 , \mathrm { x } _ { 2 } = 8 , \mathrm { n } _ { 2 } = 100 ; \mathrm { H } _ { 0 } : \mathrm { p } _ { 1 } = \mathrm { p } _ { 2 } , \mathrm { H } _ { \mathrm { a } } : \mathrm { p } _ { 1 } \neq \mathrm { p } _ { 2 } , \alpha = 0.01$$

• A)\(0.3844\)
• B) \(0.2005\)
• C) \(0.4010\)
• D) \(0.1011\)

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Definitions:

Parenting Styles

Various patterns of behavior and strategies that parents use to raise their children, including authoritative, authoritarian, permissive, and neglectful types.

Heritability Statistic

A measure in genetics that indicates how much of a trait's variation within a population can be attributed to genetic differences.

Genetic Factors

Genetic factors are hereditary influences determined by one's DNA that can affect various aspects of physical and psychological traits.

Environmental Factors

External elements like climate, terrain, and human activities that influence living organisms and the ecosystem.