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Use the Central Limit Theorem to Find the Indicated Probability p^\hat { p }

question 64

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Use the Central Limit Theorem to find the indicated probability. The sample size is n , the population proportion is p^\hat { p } , and the sample proportion is
n=160,p=0.29;P(p^>0.3) n = 160 , p = 0.29 ; P ( \hat { p } > 0.3 )


Definitions:

Low-income Groups

Sections of the population that earn significantly less than the average income, often facing economic hardship and limited access to resources.

Hearing Impairment

A partial or total inability to hear; it can vary from slight to profound deafness.

Ableism

Discrimination and social prejudice against people with disabilities, favoring those who are not disabled.

Downward Drift Hypothesis

The assertion that those with mental illnesses, unable to finish their education or secure a job, tend to drift into low-income groups.

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