Question

as part of a statistics project, charlie would like to collect data on household size in his city. to do so, he asks each person in his statistics class for the size of their household and reports the results of a simple random sample. however, this is not a simple random sample. why? charlie did not use any randomization; he took a convenience sample. charlie did not use a random number table to randomize the order in which he collected the students responses, so the sample cannot be random. in this investigation of household size, each household represents a case. charlie incorrectly sampled individuals instead of households. both (a) and (c) are correct. answers (a), (b), and (c) are all correct.

Explanation:

A simple random sample requires that every member of the population has an equal chance of being selected. Charlie just asked his statistics - class members (a convenience sample), not using any randomization method. Also, he sampled individuals instead of households as the unit of interest. Using a random - number table is one way to randomize, but not using it doesn't mean the sample can't be random if other proper randomization methods are used. So, (a) and (c) are correct.

Answer:

D. Both (a) and (c) are correct.