The University of Fountain Lakes has just placed an advertizement in various school magazines, looking to recruit new students. At one stage in the ad the following claim is made: 'A whopping 85% of our graduate students go on to achieve professional employment within 6 months of graduation!' There is a footnote at the bottom of the ad, which qualifies this boast: 'Note: a 95% confidence interval was constructed and we found that the proportion of students going on to professional employment within 6 months of graduation is within 0.01 of 0.85' Four students see this advertizement, including the footnote, and interpret the ad in different ways:
Alex:'They are 95% confident that 85% of students will go on to achieve professional employment within 6 months.'
Barbara: 'They know that 85% of students will go on to achieve professional employment within 6 months.'
Chris: 'They know that somewhere between 84% and 86% of students will go on to achieve professional employment within 6 months.'
Donna: 'They are 95% confident that somewhere between 84% and 86% of students will go on to achieve professional employment within 6 months.'
The student that has the most correct interpretation is:
Alex, Chris, Barbara, or Donna?
The most correct interpretation is:
'They are 95% confident that somewhere between 84% and 86% of students will go on to achieve professional employment within 6 months.'
Hence,
The student that has the most correct interpretation is Donna
The University of Fountain Lakes has just placed an advertizement in various school magazines, looking to...
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