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:

Power

The capacity or ability to direct or influence the behavior of others or the course of events.

Team Empowerment

Team empowerment refers to the process or state in which team members are given authority, resources, and capability to make decisions and execute tasks independently, enhancing their effectiveness and motivation.

Potency

The degree to which a group or organization believes in its collective efficacy and ability to be effective in achieving its goals.

Meaningfulness

The quality of having significance, value, or purpose.