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.

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.

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bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 2 · 2022-01-18T11:50:41+01:00

Stratified sampling is a sampling method in which the population is divisible into the subgroups. This subgroups are known as the strata. The number of individuals from these subgroups for each stratum should be proportional to the size of the strata in the population. The option B is the correct option.

Given-

The statement given in the problem is,

When obtaining a stratified sample, the number of individuals included within each stratum must be equal.

What is stratified sampling?

Stratified sampling is a sampling method in which the population is divisible into the subgroups. This subgroups are known as the strata. The number of individuals from these subgroups for each stratum should be proportional to the size of the strata in the population.

The random samples are further selected from these subgroup (strata). It is also known as the proportional random sampling method.

The given statement says that the number of individuals included with in each stratum should be equal for the stratified sampled obtained. From the definition of the stratified sampling the number of individual sample from the subgroups should be proportional to the size of the strata in the population. Thus it is a false statement.

Hence option B is the correct option from the given option which states, within stratified samples, the number of individuals sampled from each stratum should be proportional to the size of the strata in the population.

Learn more about the stratified sampling here;

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