GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
A researcher has determined that she requires a minimum of n responses
[#permalink]
31 Mar 2021, 09:19
31 Mar 2021, 09:19
1
Expert Reply
1
Bookmarks
00:00
Question Stats:
27% (01:41) correct
72% (01:52) wrong based on 18 sessions
Hide Show timer Statistics
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
[#permalink]
28 Apr 2021, 02:00
28 Apr 2021, 02:00
Quite an interesting task!
