A Southern State Has an Unemployment Rate of 6

question 109

Short Answer

A southern state has an unemployment rate of 6%. The state conducts monthly surveys in order to track the unemployment rate. In a recent month, a random sample of 700 people showed that 35 were unemployed.
If the true unemployment rate is 6%, describe the sampling distribution of . Is the sampling distribution of the sample proportion approximately normal?
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What is the mean?
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What is the standard deviation?
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Find the probability that the sample unemployment rate is at most 5%.
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Assume the population proportion, p, is unknown. Describe the sampling distribution of based on the most recent sample. Is the sampling distribution of the sample proportion approximately normal?
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What is the mean?
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What is the standard deviation?
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Based on the most recent sample, find the probability that the sample proportion will lie within 0.005 of the true proportion p of people who are unemployed.
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Definitions:

Own Perspective

An individual's unique viewpoint or attitude towards a particular topic or situation based on personal experience and beliefs.

Freud's Psychoanalytical Theory

A psychological theory developed by Sigmund Freud that emphasizes unconscious processes and childhood experiences in shaping behavior.

Adult Personality

The complex patterns of behaviors, feelings, and thoughts that constitute an adult individual’s distinctive character.

Genital Stage

A phase in Freudian psychosexual development occurring from puberty onwards, where sexual maturation is complete and sexual intercourse becomes a major goal.