Question

determine whether the underlined number describes a population parameter or a sample statistic. explain your reasoning. sixty - four of the 92 passengers aboard an airship survived an explosion. choose the correct statement below. a. the number is a sample statistic because it describes the people in the airship, which is a subset of all people. b. the number is a population parameter because it describes the people in the airship, which is a subset of all people. c. the number is a population parameter because it is a numerical description of all of the passengers that survived. d. the number is a sample statistic because it is a numerical description of all of the passengers that survived.

Explanation:

1. Recall the definitions: A population parameter describes an entire population (all individuals of interest), and a sample statistic describes a sample (a subset of the population).
2. In this case, the "92 passengers aboard an airship" is the entire population of passengers on that specific airship (the group we are interested in for this context). The number "sixty - four" is a numerical description of all the passengers (in this population) that survived.
3. Analyze the options:

• Option A: The airship's passengers are not a subset of "all people" in the relevant context here. The population of interest is the passengers on this airship, so this is incorrect.
• Option B: A subset of all people is not a population. The population here is the passengers on the airship, so this is incorrect.
• Option C: Since the 64 survivors are a numerical description of all (the entire population of) the passengers on the airship that survived, it is a population parameter. This is correct.
• Option D: It is not a sample statistic because it describes the entire population of passengers on the airship, not a sample. So this is incorrect.

Answer:

C. The number is a population parameter because it is a numerical description of all of the passengers that survived.