Math

QuestionWhat sampling method should a pollster use to get responses from all major religious groups? a. Cluster sampling b. Stratified sampling c. Systematic sampling d. Simple random sampling

Studdy Solution

STEP 1

Assumptions1. The pollster wants to ensure responses from all major religious groups. . The pollster wants to avoid bias in the selection of respondents.
3. The religious groups are distinct and well-defined.
4. Each religious group is a subgroup of the total population.

STEP 2

We need to choose a sampling method that ensures representation from all major religious groups.

STEP 3

Consider the first option Cluster sampling. This method involves dividing the population into separate groups, or clusters, then a simple random sample of clusters is selected from the population. This method might not ensure that all religious groups are represented, as it depends on the random selection of clusters.

STEP 4

Consider the second option Stratified sampling. This method involves dividing the population into separate groups, or strata, and then a simple random sample is drawn from each stratum. This method ensures that all religious groups are represented, as each group would be a separate stratum.

STEP 5

Consider the third option Systematic sampling. This method involves selecting every nth individual from the population. This method might not ensure that all religious groups are represented, as it depends on the ordering of the population.

STEP 6

Consider the fourth option Simple random sampling. This method involves selecting individuals randomly from the entire population. This method might not ensure that all religious groups are represented, as it depends on the randomness of the selection.

STEP 7

Based on the desire to ensure representation from all major religious groups, the best choice would be stratified sampling. In this method, each religious group would be a separate stratum, and a simple random sample would be drawn from each stratum, ensuring representation from all groups.
The answer is b. Stratified sampling.

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