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 support). Two sampling methods have been proposed: a simple random sample and a stratified random sample with the survey response as strata. (b) If the stratified random sample is used, what is the number of people that will be selected from those who responded yes? Support your answer by showing your work.

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Mathematics

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17 June, 15:58

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 support). Two sampling methods have been proposed: a simple random sample and a stratified random sample with the survey response as strata. (b) If the stratified random sample is used, what is the number of people that will be selected from those who responded yes? Support your answer by showing your work.

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Zackary Clayton · Answer 1

x = 20 * s / 300

Step-by-step explanation:

In this case, it is solved by means of a rule of three, that is, we know that 20 of 300 answered yes, but in the case of the strata sample, since it is a value that is not mentioned in the problem, we will assume it as " s "and the people who were selected as" x ". would:

20 x

300 s

Therefore, x:

x = 20 * s / 300

and thus they would give us the number of people that would be selected.

For example, if "s" were 240, it would be:

x = 20 * 240/300

x = 16

that is, 16 people would be selected