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17 Apr 2024, 01:00
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The percentage of all respondents who indicated support for Candidate C: Yes
The percentage, among all respondents, who indicated support for Candidate C but did NOT indicate enthusiastic support: Yes
The percentage of the respondents in the 28 - 37 range who indicated support for Candidate C: No
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
49% (01:55) correct
51%
(02:08)
wrong
based on 1654
sessions
History
Date
Time
Result
Not Attempted Yet
The table shows results from a survey conducted by representatives of Candidate C, who is standing for election to a seat in a national parliament. The survey had exactly 945 respondents, and there were no respondents in age ranges outside of those listed in the table.
*Data include both respondents who indicated enthusiastic support and those who did not.
________________________________________________________________
For each of the following quantities, select Yes if the information provided is sufficient for determining the value of the quantity. Otherwise, select No.
| Age range | Respondents indicating support for Candidate C* | Respondents indicating enthusiastic support for Candidate C |
|---|---|---|
| 18-27 | 47 | 32 |
| 28-37 | 126 | 85 |
| 38-47 | 134 | 79 |
| 48-57 | 107 | 66 |
| 58-67 | 79 | 34 |
| 68-77 | 85 | 31 |
| 78-87 | 31 | 28 |
*Data include both respondents who indicated enthusiastic support and those who did not.
________________________________________________________________
For each of the following quantities, select Yes if the information provided is sufficient for determining the value of the quantity. Otherwise, select No.
| Yes | No | |
| The percentage of all respondents who indicated support for Candidate C | ||
| The percentage, among all respondents, who indicated support for Candidate C but did NOT indicate enthusiastic support | ||
| The percentage of the respondents in the 28 - 37 range who indicated support for Candidate C |
ShowHide Answer
Official Answer
The percentage of all respondents who indicated support for Candidate C: Yes
The percentage, among all respondents, who indicated support for Candidate C but did NOT indicate enthusiastic support: Yes
The percentage of the respondents in the 28 - 37 range who indicated support for Candidate C: No
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17 Apr 2024, 04:26
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The table gives the number of respondents who support candidate C, and within these the number who are enthusiastic supporter of C.
We are to find whether following questions can be answerwed.
1) The percentage of all respondents who indicated support for Candidate C
Add all the numbers in the second column and divide by 945 to get the answer....YES
2) The percentage, among all respondents, who indicated support for Candidate C but did NOT indicate enthusiastic support
Add the difference of sum of third column from sum of second column.......YES
3) The percentage of the respondents in the 28 - 37 range who indicated support for Candidate C
We do NOT know the number of respondents who are in this age bracket. We just know how many support C in this age category. It is possible that there are 126, then it is 100% or it may be that there are 200 in this age bracket, then 63%....NO
We are to find whether following questions can be answerwed.
1) The percentage of all respondents who indicated support for Candidate C
Add all the numbers in the second column and divide by 945 to get the answer....YES
2) The percentage, among all respondents, who indicated support for Candidate C but did NOT indicate enthusiastic support
Add the difference of sum of third column from sum of second column.......YES
3) The percentage of the respondents in the 28 - 37 range who indicated support for Candidate C
We do NOT know the number of respondents who are in this age bracket. We just know how many support C in this age category. It is possible that there are 126, then it is 100% or it may be that there are 200 in this age bracket, then 63%....NO
General Discussion
MartyMurray KarishmaB ,
Bunuel Can you please help me on my doubt ?
I have a doubt regarding the question no 2 .
How can we find the percentage of respondents who indicated support for candidate C but dint indicate enthusiastic support without knowing the number of candidates who indicated both support and the enthusiastic support. There will be some kinda overlap between the number of people who support and the number of people who indicate enthusiastic support.
Hence , dont you think this venn diagram equation n(aUb) = n(a) + n(b) - n (a intersection b ) needs to come into play ?
Please help.
Bunuel Can you please help me on my doubt ?
I have a doubt regarding the question no 2 .
How can we find the percentage of respondents who indicated support for candidate C but dint indicate enthusiastic support without knowing the number of candidates who indicated both support and the enthusiastic support. There will be some kinda overlap between the number of people who support and the number of people who indicate enthusiastic support.
Hence , dont you think this venn diagram equation n(aUb) = n(a) + n(b) - n (a intersection b ) needs to come into play ?
Please help.
guddo
