A farmer owned hundreds of chickens. He had a new group of baby chicks born in the spring. He took a sample 50 chicks and discovered 24 were roosters (48%). Later, an employee separated all the new chickens into hens/roosters and found that out of the 400 chickens, 220 were roosters (55%). Which of the following is the correct statement?Group of answer choicesBoth 48% and 55% are parametersThe 55% is a statistic and the 48% is the parameter.Both 48% and 55% are statisticsThe 48% is a statistic and 55% is the parameter
Question
A farmer owned hundreds of chickens. He had a new group of baby chicks born in the spring. He took a sample 50 chicks and discovered 24 were roosters (48%). Later, an employee separated all the new chickens into hens/roosters and found that out of the 400 chickens, 220 were roosters (55%). Which of the following is the correct statement?Group of answer choicesBoth 48% and 55% are parametersThe 55% is a statistic and the 48% is the parameter.Both 48% and 55% are statisticsThe 48% is a statistic and 55% is the parameter
Solution
To determine whether the percentages given are parameters or statistics, we need to understand the definitions of these terms:
- A parameter is a numerical value that describes a characteristic of a population.
- A statistic is a numerical value that describes a characteristic of a sample.
Given the information:
- The farmer took a sample of 50 chicks and found that 24 were roosters, which is 48%. Since this percentage is derived from a sample, it is a statistic.
- The employee later separated all 400 new chickens and found that 220 were roosters, which is 55%. Since this percentage is derived from the entire population of new chickens, it is a parameter.
Therefore, the correct statement is:
The 48% is a statistic and 55% is the parameter.
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