Question

Eggs that are contaminated with salmonella can cause food poisoning among consumers. A large egg producer takes an SRS of 200 eggs from all the eggs shipped in one day. The laboratory reports that 11 of these eggs had salmonella contamination. Unknown to the producer, 0.2% (two-tenths of one percent) of all eggs shipped had salmonella. In this situation

A. 0.2% is a parameter and 11 is a statistic.
B. 11 is a parameter and 0.2% is a statistic.
C. both 0.2% and 11 are statistics.
D. both 0.2% and 11 are parameters.

Answer 1

The answer is Option A: "0.2% is a parameter and 11 is a statistic".

Explanation:

The main difference between a statistic and a parameter is that a statistic describes a characteristic from a sample and a parameter describes a characteristic of the entire population.

In this case, 11 is the result of the positive salmonella eggs taken out of a sample of 200 eggs. It is a statistic.

Also, we know that of all eggs shipped (the population), 0.2% has salmonella. This 0.2% is a parameter.

The answer is Option A: "0.2% is a parameter and 11 is a statistic".