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

Question

Bella

Mathematics

13 February, 17:51

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

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Answers (1)

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Khalil Yates · Answer 1

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

Step-by-step explanation:

In a stratified sample, each stratum should be proportional to that category of the population. This means that each stratum would potentially have a different number of elements in it.