Answered step-by-stepAlden is registering for classes next semester. He uses the...
Alden is registering for classes next semester. He uses the Quantitative Reasoning Process to decide between two teachers, Dr. Alvarez, and Dr. Bareno . He speaks to 19 friends that previously took the course from Dr. Alvarez and also speaks to 19 friends that took it from Dr. Bareno. Eight of his friends said they highly recommend Dr. Alvarez. Eleven of his friends highly recommend Dr. Bareno.
Based on Alden's minimal study, what percent of students "highly recommend" Dr. Alvarez?
% (Round the final percentage to one decimal place)
What percent "highly recommend" Dr.Bareno?
% (Round the final percentage to one decimal place)
To be statistically accurate in his decision, Alden decides to check 95% confidence interval for his two percentages. What values does he find for each confidence interval?
Confidence interval for the true proportion that "highly recommend" Dr Alvarez:
(Enter the low value in the first blank and the high value in the second blank. Round values to one decimal place)
%,
to
%
Confidence interval for the true proportion that "highly recommend" Dr. Bareno:
(Enter the low value in the first blank and the high value in the second blank. Round values to one decimal place)
%,
to
%
Does his confidence intervals show evidence that a greater percentage of students favor one teacher over the other?
Yes, the confidence intervals overlap, so clearly one teacher is preferred by students over the other teacher. | ||
Yes, the confidence intervals do not overlap, so clearly one teacher is preferred by students over the other teacher. | ||
No, the confidence intervals overlap, so the percentages of students that approve of each teacher are really the same as far as we can tell. | ||
No, the confidence intervals do not overlap, so the percentages of students that approve of each teacher are really the same as far as we can tell. |
Answer & Explanation
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