Question

determine whether the following statement is true or false. explain. when obtaining a stratified sample, the number of individuals included within each stratum must be equal. choose the correct answer below. a. false. a stratified sample is constructed by successively selecting a stratum at random and then selecting a random individual from within that stratum. with this process, it is unlikely that all strata will be sampled from the same number of times. b. true. sampling the same number of people from each stratum will result in a sample that is representative of the population at a lower cost than a simple random sample. c. false. within stratified samples, the number of individuals sampled from each stratum should be proportional to the size of the stratum in the population. d. false. when taking a stratified sample, a simple random sample is drawn from one stratum at random. all other strata will not be included in the sample.

Explanation:

In stratified sampling, the number of individuals sampled from each stratum is proportional to the size of the stratum in the population, not necessarily equal. For example, if one stratum is much larger in the population compared to others, more individuals should be sampled from it to get a representative sample.

Answer:

C. False. Within stratified samples, the number of individuals sampled from each stratum should be proportional to the size of the stratum in the population.