Question

According to the 2010 census, 27% of all phones manufactured in 2009 were Androids. In a random sample of 100 people walking in downtown Dallas, 33% of the phones were Android. Which statement is true?

a) 27% and 33% are parameters, 100 is a statistic.
b) 27% is a parameter, 33% is a statistic.
c) 27% is a statistic, 33% is a parameter.
d) 33% and 27% are statistics, 100 is neither a parameter nor a statistic.

Answer 1

The correct statement is b) 27% is a parameter, 33% is a statistic.

Step-by-step explanation:

The correct statement is b) 27% is a parameter, 33% is a statistic.

In statistics, a parameter is a characteristic of a population, while a statistic is a characteristic of a sample.

In this question, the 27% represents the percentage of all phones manufactured in 2009 that were Androids. This is a parameter because it is a characteristic of the entire population of phones manufactured in 2009.

The 33% represents the percentage of phones in a random sample of 100 people walking in downtown Dallas that were Androids. This is a statistic because it is a characteristic of the sample of 100 people.