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In the following two completely unrelated scenarios discuss which choice in each scenario would be the...

In the following two completely unrelated scenarios discuss which choice in each scenario would be the better sample size option. Explain your reasoning for each choice for each scenario.

Scenario 1 determine proportion of people over six feet tall:

A representative sample of size 100 from a population of size 100,000.

A representative sample of size 1,000 from a population of size 100,000,000

Scenario 2: determine proportion of people that have blue eyes:

A representative sample of size 100 from a population of size 100,000

A representative sample of size 100 from a population of size 1,000,000

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Answer #1

Scenario 1 determine proportion of people over six feet tall:

A representative sample of size 100 from a population of size 100,000.

This is because it is not unusual to find a proportion of people over six feet and this sample size would be enough from an average poll of people.

Scenario 2: determine proportion of people that have blue eyes:

A representative sample of size 100 from a population of size 1,000,000

This is because it is unusual to find a proportion of people that have blue eyes. So, a large people poll is required to meet the success and failure requirement.

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