Homework Help is Here – Start Your Trial Now!
Math
Statistics
2. A journal published a study of the "tip-of-the-tognue" phenomenon, trying to think of a word that you know, but can't instantly retrieve, in senior citizens. The researchers compared 50 people between 60 and 72 years of age with 50 between 73 and 83 years of age. When primed with the initial syllable of a missing word, the younger seniors had a higher recall rate. Suppose 33 of the 50 seniors in the younger group could recall the word when primed with the initial syllable, while only 22 of the 50 seniors in the older group could recall the word. Compare the recall rates of the two groups, using a = 0.05. Does one group of elderly people have a significantly higher recall rate than the other? (a) Let pi represent the recall rate of the younger group (60-72 years of age) and p2 represent the recall rate of the older group (73-83 years of age). Give the null and alternative hypotheses. Ho: Ha: (b) The test statistic = (round to four decimal places as needed) (c) The p-valuep= (round to four decimal places as needed) You should find one of the following useful for part c: P(: > 2.2111) = 0.0135 P(z > 2.2672) 0.0117 P(z > 2.2) = 0.0139 P(2 > 1.6036) 0.0544 (d) State your conclusion.

2. A journal published a study of the "tip-of-the-tognue" phenomenon, trying to think of a word that you know, but can't instantly retrieve, in senior citizens. The researchers compared 50 people between 60 and 72 years of age with 50 between 73 and 83 years of age. When primed with the initial syllable of a missing word, the younger seniors had a higher recall rate. Suppose 33 of the 50 seniors in the younger group could recall the word when primed with the initial syllable, while only 22 of the 50 seniors in the older group could recall the word. Compare the recall rates of the two groups, using a = 0.05. Does one group of elderly people have a significantly higher recall rate than the other? (a) Let pi represent the recall rate of the younger group (60-72 years of age) and p2 represent the recall rate of the older group (73-83 years of age). Give the null and alternative hypotheses. Ho: Ha: (b) The test statistic = (round to four decimal places as needed) (c) The p-valuep= (round to four decimal places as needed) You should find one of the following useful for part c: P(: > 2.2111) = 0.0135 P(z > 2.2672) 0.0117 P(z > 2.2) = 0.0139 P(2 > 1.6036) 0.0544 (d) State your conclusion.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
icon
Concept explainers
Question
show work
2. A journal published a study of the "tip-of-the-tognue" phenomenon, trying to think of a word that you know, but can't instantly retrieve, in senior citizens. The researchers compared 50 people between 60 and 72 years of age with 50 between 73 and 83 years of age. When primed with the initial syllable of a missing word, the younger seniors had a higher recall rate. Suppose 33 of the 50 seniors in the younger group could recall the word when primed with the initial syllable, while only 22 of the 50 seniors in the older group could recall the word. Compare the recall rates of the two groups, using a = 0.05. Does one group of elderly people have a significantly higher recall rate than the other? (a) Let pi represent the recall rate of the younger group (60-72 years of age) and p2 represent the recall rate of the older group (73-83 years of age). Give the null and alternative hypotheses. Ho: Ha: (b) The test statistic 2 = (round to four decimal places as needed) (c) The p-value p = (round to four decimal places as needed) You should find one of the following useful for part c: P(z > 2.2111) = 0.0135 P(2 > 2.2672) = 0.0117 P(2 > 2.2) = 0.0139 P(2 > 1.6036) = 0.0544 (d) State your conclusion. REJECT or FAIL TO REJECT Ho. There is SUFFICIENT or INSUFFICIENT evidence to conclude that the recall rate of the younger group is THE SAME AS or DIFFERENT FROM the recall rate of the older group. (Circle the correct capitalized word or phrase in each of the three places a choice is given.) Bonus 4 points: Find and interpret the 90% confidence interval for (pi - p2). The CI is (Round to two decimal places, as needed.)
Transcribed Image Text:2. A journal published a study of the "tip-of-the-tognue" phenomenon, trying to think of a word that you know, but can't instantly retrieve, in senior citizens. The researchers compared 50 people between 60 and 72 years of age with 50 between 73 and 83 years of age. When primed with the initial syllable of a missing word, the younger seniors had a higher recall rate. Suppose 33 of the 50 seniors in the younger group could recall the word when primed with the initial syllable, while only 22 of the 50 seniors in the older group could recall the word. Compare the recall rates of the two groups, using a = 0.05. Does one group of elderly people have a significantly higher recall rate than the other? (a) Let pi represent the recall rate of the younger group (60-72 years of age) and p2 represent the recall rate of the older group (73-83 years of age). Give the null and alternative hypotheses. Ho: Ha: (b) The test statistic 2 = (round to four decimal places as needed) (c) The p-value p = (round to four decimal places as needed) You should find one of the following useful for part c: P(z > 2.2111) = 0.0135 P(2 > 2.2672) = 0.0117 P(2 > 2.2) = 0.0139 P(2 > 1.6036) = 0.0544 (d) State your conclusion. REJECT or FAIL TO REJECT Ho. There is SUFFICIENT or INSUFFICIENT evidence to conclude that the recall rate of the younger group is THE SAME AS or DIFFERENT FROM the recall rate of the older group. (Circle the correct capitalized word or phrase in each of the three places a choice is given.) Bonus 4 points: Find and interpret the 90% confidence interval for (pi - p2). The CI is (Round to two decimal places, as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Conditional Probability, Decision Trees, and Bayes' Theorem
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS