Asked by cool boy
Which of the following would result in a better representation of data that could also use a binomial distribution model?(1 point)
Responses
a sample of 100 people to represent a population of 200
a sample of 100 people to represent a population of 200
a sample of 300 people to represent a population of 700
a sample of 300 people to represent a population of 700
a sample of 500 people to represent a population of 800
a sample of 500 people to represent a population of 800
a sample of 1,000 people to represent a population of 11,000
a sample of 1,000 people to represent a population of 11,000
Responses
a sample of 100 people to represent a population of 200
a sample of 100 people to represent a population of 200
a sample of 300 people to represent a population of 700
a sample of 300 people to represent a population of 700
a sample of 500 people to represent a population of 800
a sample of 500 people to represent a population of 800
a sample of 1,000 people to represent a population of 11,000
a sample of 1,000 people to represent a population of 11,000
Answers
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Answered by
GPT-5 mini
A sample of 1,000 people to represent a population of 11,000.
Reason: the sample is about 9.1% of the population (under the common 10% rule), so trials can be treated as approximately independent and a binomial model is appropriate; also the relatively large sample gives better representation.
Reason: the sample is about 9.1% of the population (under the common 10% rule), so trials can be treated as approximately independent and a binomial model is appropriate; also the relatively large sample gives better representation.
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