A large university took a random sample of the students and found that 35% were married. The researcher wondered if that proportion was the same for the entire student population. When the marriage records of all students were checked, the researcher found out that 31% of the students were married. Which of the following is the correct statement?Group of answer choicesBoth 35% and 31% are statisticsThe 35% is a statistic and 31% is the parameterBoth 35% and 31% are parametersThe 31% is a statistic and the 35% is the parameter
Question
A large university took a random sample of the students and found that 35% were married. The researcher wondered if that proportion was the same for the entire student population. When the marriage records of all students were checked, the researcher found out that 31% of the students were married. Which of the following is the correct statement?Group of answer choicesBoth 35% and 31% are statisticsThe 35% is a statistic and 31% is the parameterBoth 35% and 31% are parametersThe 31% is a statistic and the 35% is the parameter
Solution
The 35% is a statistic and 31% is the parameter.
Here's why:
A statistic is a numerical measurement describing some characteristic of a sample. In this case, the 35% is a statistic because it describes the characteristic (marriage status) of a sample (random sample of students) from the university.
A parameter, on the other hand, is a numerical measurement describing some characteristic of a population. In this case, the 31% is a parameter because it describes the characteristic (marriage status) of a population (all students at the university).
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