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

Answer 1

Answer: D. False." Within stratified samples, the number of individuals sampled from each stratum should be proportional to the size of the strata in the population."

Explanation:

• A stratified sample is obtained by dividing the population into groups without overlapping called strata and then obtaining a simple random sample from each stratum.

The individuals within each stratum should be homogeneous or similar in some way.

Therefore, the given statement "When obtaining a stratified sample, the number of individuals included within each stratum must be equal." is false because within stratified samples, the number of individuals sampled from each stratum should be proportional to the size of the strata in the population.