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The university of Fountain Lakes has just placed an advertisement 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 proessional 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 adverstisement, 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:
Select one:
a. Barbara
b. Alex
c. Chris
d. Donna

Sagot :

Donna.

Donna's interpretation is the most accurate. A 95% confidence interval is a statistical tool used to estimate a true population parameter with a specified confidence level. In this case, the population parameter is the percentage of students who find employment within six months of graduation. With a 95% confidence interval, we found that the percentage of students who find a job within 6 months of graduation is between 0.01 and 0.85. This means that the actual percentage of students who find a job within six months of graduation is likely between 0.84 and 0.86 at the 95% confidence level.

Alex's interpretation is incorrect. Because the ad doesn't say that he is 85% of the students, he is 95% sure that she will get a job within 6 months. It simply states that the percentage of students who find employment within half a year is within the range of 0.01 to 0.85.

Barbara's interpretation is incorrect. Because the ad doesn't say that 85% of the students know she will be employed within 6 months. It simply states that the percentage of students who find employment within half a year is within the range of 0.01 to 0.85.

Chris's interpretation is incorrect. Because the ad doesn't say they know that 86% of his 84% ​​of students will get a job within 6 months. It just states that the percentage of students who find a job within six months is in the range of 0.01 to 0.85.

Read more about confidence interval on brainly.com/question/4987379

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