Question

determine whether the underlined number is a statistic or a parameter. a sample of employees is selected and it is found that 25% own a television. choose the correct statement below. statistic because the value is a numerical measurement describing a characteristic of a population. parameter because the value is a numerical measurement describing a characteristic of a sample. statistic because the value is a numerical measurement describing a characteristic of a sample. parameter because the value is a numerical measurement describing a characteristic of a population.

Explanation:

Step1: Recall definitions

A statistic is a numerical measure that describes a characteristic of a sample. A parameter is a numerical measure that describes a characteristic of a population.

Step2: Analyze the problem

The problem states that a sample of employees is selected, and we are looking at the percentage (25%) of them who own a television. Since this value describes a characteristic of the sample (the selected employees), we need to determine if it's a statistic or parameter.

Step3: Match with definitions

Since the value is a numerical measurement describing a characteristic of a sample, it is a statistic. Now we check the options:

• First option: Says statistic for population - incorrect, because it's a sample.
• Second option: Says parameter for sample - incorrect, parameter is for population.
• Third option: Says statistic because value is numerical measurement of sample - this matches our analysis.
• Fourth option: Says parameter for population - incorrect, it's a sample.

Answer:

Statistic because the value is a numerical measurement describing a characteristic of a sample. (The option corresponding to this description, likely the third option in the list: "Statistic because the value is a numerical measurement describing a characteristic of a sample.")