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A researcher has determined that she requires a minimum of n responses
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31 Mar 2021, 09:19
31 Mar 2021, 09:19
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A researcher has determined that she requires a minimum of n responses to a survey for the results to be valid. If p% of the surveyed individuals fail to respond to the survey, how many individuals, in terms of n and p, must the researcher survey to produce twice the minimum required number of responses?
A.\(\frac{{200n}}{{100-p}}\)
B.\(\frac{{2n}}{{100-p}}\)
C.\(\frac{{200n}}{{p}}\)
D.\(\frac{{2n(100+p)}}{{100}}\)
E.\(\frac{{2n+2np}}{{100}}\)
A.\(\frac{{200n}}{{100-p}}\)
B.\(\frac{{2n}}{{100-p}}\)
C.\(\frac{{200n}}{{p}}\)
D.\(\frac{{2n(100+p)}}{{100}}\)
E.\(\frac{{2n+2np}}{{100}}\)
A researcher has determined that she requires a minimum of n responses
[#permalink]
31 Mar 2021, 23:21
31 Mar 2021, 23:21
1
Let's assume that p = 20, or 20% individuals fail to respond to the research. For instance, if 100 individuals are surveyed, only 80 individuals will respond.
So, then assuming the minimum required number n = 40, the minimum number of individuals the researcher must survey must be 100 in order to collect twice the minimum number of responses, that is, 80.
Now let's input these values to find out which answer choice produces 100 as a result. We have p = 20, n = 40, and result = 100.
A. \(\frac{200 * n }{ 100 - p }\)
\(= \frac{ 200 * 40 }{ 100 - 20} = 100\)
Hence, A is the correct answer.
So, then assuming the minimum required number n = 40, the minimum number of individuals the researcher must survey must be 100 in order to collect twice the minimum number of responses, that is, 80.
Now let's input these values to find out which answer choice produces 100 as a result. We have p = 20, n = 40, and result = 100.
A. \(\frac{200 * n }{ 100 - p }\)
\(= \frac{ 200 * 40 }{ 100 - 20} = 100\)
Hence, A is the correct answer.
Re: A researcher has determined that she requires a minimum of n responses
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28 Apr 2021, 02:00
28 Apr 2021, 02:00
Quite an interesting task!
