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Sergeeva-Olga
3 months ago
13

A follow-up study will be conducted with a sample of 20 people from the 300 people who responded yes (support) and no (do not su

pport). Two sampling methods have been proposed: a simple random sample and a stratified random sample with the survey response as strata. If the stratified random sample is used, what is the number of people that will be selected from those who responded yes? Justify your answer
Mathematics
1 answer:
PIT_PIT [12.4K]3 months ago
4 0

Response:

Detailed explanation:

Hello!

Stratified sampling involves the categorization of the population into subgroups based on pre-established criteria for the study. These subgroups consist of homogeneous units concerning the relevant characteristics. In this instance, individuals in the groups will represent only one of the two potential opinions (support or not support) and not both.

The researcher determines the sample size desired, considering several factors such as finances, material availability, and accessibility to experimental subjects (for instance, if they are endangered species, larger sample sizes may not be feasible).

One might conduct proportionate stratified sampling by selecting a proportion of respondents who answered "yes" along with those who answered "no."

In this sampling method, taking a specific proportion from each subgroup allows for a more straightforward extrapolation of results to the overall populations. For example, if you needed a sample size of n = 20, each stratum would ideally contain half, meaning 10 from the “yes” group and 10 from the “no” group.

I hope this is helpful!

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Step-by-step explanation:

Given are

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The triangle's perimeter corresponds to the circle's circumference.

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Circle's area is:

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or

A = 24 square units

Thus, the circle’s area is 24 square units.

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