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 %, %

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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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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