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.