Question

According to the 2010 census, 27% of all phones manufactured in 2009 were Andriods. In a random sample of 100 people walking in downtown Dallas, 33 % of the phones were Andriod. 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 27% figure is a parameter as it describes the entire population of phones manufactured in 2009, while the 33% is a statistic because it represents a sample of people walking in downtown Dallas.

Step-by-step explanation:

When talking about statistical inference, it is important to know the difference between a parameter and a statistic. A parameter is a summary measure that describes a characteristic of an entire population, while a statistic describes a characteristic of a sample. In this case, the 27% figure represents the proportion of all phones manufactured in 2009 that were Androids according to the census, which makes it a parameter.

The 33% figure represents the proportion of phones that were Android among a sample of 100 people in downtown Dallas, which makes it a statistic because it describes a sample. The number 100 refers to the sample size and is neither a parameter nor a statistic; it is simply the number of observations in the sample.

Therefore, the answer is b. 27% is a parameter, 33% is a statistic.