68.7 To be statistically accurate in his decision, Alden decides to create a 95% confidence interval for his two percentages. What values does he find for each confidence interval? to 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) 19.9 to % (Round the final percentage to one decimal place) 64.3 94.9 * %. 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) 41.3 % X %, %

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
6)
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 16 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?
42.1
to
68.7
To be statistically accurate in his decision, Alden decides to create a 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)
19.9
to
64.3
% (Round the final percentage to one decimal place)
Ⓡ
94.9
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)
41.3
X
%,
%
%.
%
Do Alden's 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.
Transcribed Image Text: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 16 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? 42.1 to 68.7 To be statistically accurate in his decision, Alden decides to create a 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) 19.9 to 64.3 % (Round the final percentage to one decimal place) Ⓡ 94.9 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) 41.3 X %, % %. % Do Alden's 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.
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