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.
e) 33%, 27%, and 100 are all statistics.

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.

A parameter is a numerical summary of a population, while a statistic is a numerical summary of a sample. In this case, the 27% represents the proportion of all phones manufactured in 2009 that were Androids, which is a parameter because it describes the entire population of phones from that year. The 33% represents the proportion of phones in the random sample of 100 people who had Androids, which is a statistic because it is based on the sample.

Therefore, the 27% is a parameter and the 33% is a statistic.