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Determine whether the given value is a statistic or a parameter.

A survey found that 75% of all respondents were optimistic.

Choose the correct answer below.

A. The value is a parameter because it is a numerical measurement describing some characteristic of a sample.

B. The value is a parameter because it is a numerical measurement describing some characteristic of a population. C. The value is a statistic because it is a numerical measurement describing some characteristic of a population.

D. The value is a statistic because it is a numerical measurement describing some characteristic of a sample.

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Answer:

D. The value is a statistic because it is a numerical measurement describing some characteristic of a sample.

Step-by-step explanation:

A survey found that 75% of all respondents were optimistic. We consider 75% of all respondents is a sample from over all population, so it's a statistic.  Value of statistics are e.g sample mean, sample proportion etc .

It is important to understand that the numerical measurement describing some characteristic of a population is called as parameter.  e.g. population mean , population proportion etc. Hence, it is not correct.

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