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Premiolex Survey: Excellent - 517
Average - 482
Below average - 1
Poor - 0
Unacceptable - 0
Cretazole Survey: Excellent - 454
Average - 511
Below average - 34
Poor - 0
Unacceptable - 1
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
24% (02:54) correct
76%
(03:13)
wrong
based on 231
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Premiolex Corporation spokesperson: In our survey of Premiolex customers, the majority of respondents rated our services as “excellent,” whereas in our competitor Cretazole’s survey, the majority of their respondents rated Cretazole’s services as “very good.” That’s proof that—on average, at least—our customers have a higher opinion of Premiolex’s services than Cretazole’s customers have of its services.
Skeptic: I don’t think the spokesperson’s conclusion necessarily follows from the evidence he cites. What if, for example, the Premiolex survey asked participants to choose from among options that weren’t all identical to the ones used in Cretazole’s survey?
Select for Premiolex survey and Cretazole survey the options such that, in combination, the Premiolex survey and Cretazole survey would support the skeptic’s position and be consistent with the spokesperson's report of the results but indicate that the spokesperson’s conclusion does not necessarily follow. Make only two selections, one in each column.
OA.jpg [ 102.7 KiB | Viewed 17119 times ]
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Skeptic: I don’t think the spokesperson’s conclusion necessarily follows from the evidence he cites. What if, for example, the Premiolex survey asked participants to choose from among options that weren’t all identical to the ones used in Cretazole’s survey?
Select for Premiolex survey and Cretazole survey the options such that, in combination, the Premiolex survey and Cretazole survey would support the skeptic’s position and be consistent with the spokesperson's report of the results but indicate that the spokesperson’s conclusion does not necessarily follow. Make only two selections, one in each column.
Attachment:
OA.jpg [ 102.7 KiB | Viewed 17119 times ]
Attachment:
234.jpg [ 94.79 KiB | Viewed 19801 times ]
| Premiolex Survey | Cretazole Survey | Conditions: 1,000 respondents were asked to choose among these survey options. | Results: Number of respondents who chose each survey option |
| Excellent - 517 Average - 482 Below average - 1 Poor - 0 Unacceptable - 0 | ||
| Excellent - 463 Average - 501 Below average - 0 Poor - 35 Unacceptable - 1 | ||
| Excellent - 454 Average - 511 Below average - 34 Poor - 0 Unacceptable - 1 | ||
| Excellent - 512 Average - 478 Below average - 10 Poor - 0 Unacceptable - 0 | ||
| Excellent - 23 Average - 516 Below average - 230 Poor - 231 Unacceptable - 0 |
ShowHide Answer
Official Answer
Premiolex Survey: Excellent - 517
Average - 482
Below average - 1
Poor - 0
Unacceptable - 0
Cretazole Survey: Excellent - 454
Average - 511
Below average - 34
Poor - 0
Unacceptable - 1
05 Apr 2021, 03:19
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Official Explanation
RO1
Since the conditions that respondents were asked to choose among were not the same in each survey, one way to compare them is to sort them into two categories: above average (Very good, Excellent), and average or below (Average, Below average, Poor, Unacceptable).
Since the majority of respondents in Premiloex’s survey rated its services as “Excellent,” the first and fourth set of results provided could be from Premiolex’s survey. In the fourth set of results, 99.0% of respondents rated Premiolex’s services above average (512 Excellent + 478 Very good, out of 1,000 responses). However, in the first set of results, only 51.7% rated its services above average (517 Excellent, out of 1,000 responses).
Since the majority of respondents in Cretazole’s survey rated its services as “Very good,” the third or fifth set of results could be from Cretazole’s survey. In the fifth set of results, 53.9% of respondents rated Cretazole’s services above average (23 Excellent + 516 Very good, out of 1,000 responses). However, in the
third set of results, 96.5% of respondents rated Cretazole’s services above average (454 Excellent + 511 Very good, out of 1,000 responses).
Thus, if the first set of results belongs to Premiolex and the third set belongs to Cretazole, only 51.7% of respondents would find Permiolex’s services above average, compared to 96.5% of respondents who would find Cretazole’s services above average. These results are consistent with the spokesperson’s report, yet they support the skeptic’s position that the spokesperson’s conclusion does not necessarily follow from the results.
The correct answer is Excellent 517, Average 482, Below average 1, Poor 0, Unacceptable 0.
RO2
As explained in the analysis of RO1, if the third set of results is from Cretazole’s survey and the first set is from Premiolex’s, a substantially greater percentage of respondents would find Premiolex’s services above average.
The correct answer is Excellent 454, Very good 511, Average 34, Poor 0, Unacceptable 1.
RO1
Since the conditions that respondents were asked to choose among were not the same in each survey, one way to compare them is to sort them into two categories: above average (Very good, Excellent), and average or below (Average, Below average, Poor, Unacceptable).
Since the majority of respondents in Premiloex’s survey rated its services as “Excellent,” the first and fourth set of results provided could be from Premiolex’s survey. In the fourth set of results, 99.0% of respondents rated Premiolex’s services above average (512 Excellent + 478 Very good, out of 1,000 responses). However, in the first set of results, only 51.7% rated its services above average (517 Excellent, out of 1,000 responses).
Since the majority of respondents in Cretazole’s survey rated its services as “Very good,” the third or fifth set of results could be from Cretazole’s survey. In the fifth set of results, 53.9% of respondents rated Cretazole’s services above average (23 Excellent + 516 Very good, out of 1,000 responses). However, in the
third set of results, 96.5% of respondents rated Cretazole’s services above average (454 Excellent + 511 Very good, out of 1,000 responses).
Thus, if the first set of results belongs to Premiolex and the third set belongs to Cretazole, only 51.7% of respondents would find Permiolex’s services above average, compared to 96.5% of respondents who would find Cretazole’s services above average. These results are consistent with the spokesperson’s report, yet they support the skeptic’s position that the spokesperson’s conclusion does not necessarily follow from the results.
The correct answer is Excellent 517, Average 482, Below average 1, Poor 0, Unacceptable 0.
RO2
As explained in the analysis of RO1, if the third set of results is from Cretazole’s survey and the first set is from Premiolex’s, a substantially greater percentage of respondents would find Premiolex’s services above average.
The correct answer is Excellent 454, Very good 511, Average 34, Poor 0, Unacceptable 1.
General Discussion
bM22
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Schools: IIM (A) IIM (A) IIM-A '24 (A) ISB '24 (A)
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12 Jun 2020, 04:25
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Inference of Spokesperson's statement:
1. The majority of respondents rated Premilox services as “excellent,” and Cretizole 's as "Very Good".
2. Premilox customers have a higher opinion of Premilox , than Cretazole’s customers have of its services
Inference from Skeptic:
1. spokesperson’s conclusion necessarily follows from the evidence he cites.
2. Result could be different if a set of different questions.
We need to select from the below options the 2 combinations that support both of the given inferences.
What we are looking for:
Excellent should be rated more than other ranks.
Very good should be highest in the particular set, but less than Excellent.
Answer: 1st one - for Premilox and 3rd for Cretizole.
1. The majority of respondents rated Premilox services as “excellent,” and Cretizole 's as "Very Good".
2. Premilox customers have a higher opinion of Premilox , than Cretazole’s customers have of its services
Inference from Skeptic:
1. spokesperson’s conclusion necessarily follows from the evidence he cites.
2. Result could be different if a set of different questions.
We need to select from the below options the 2 combinations that support both of the given inferences.
What we are looking for:
Excellent should be rated more than other ranks.
Very good should be highest in the particular set, but less than Excellent.
Answer: 1st one - for Premilox and 3rd for Cretizole.
