Explanation Calculation: It is given that for the study “Tip–of –the–tongue”, comparison was made on 40 people between 60 and 72 years of age with 40 people between 73 and 83 years of age. Denote the people between 60 and 72 years of age as “younger group” and people between 73 and 83 years of age as “elder group”. It is also given that 31 out of 40 in the younger group, and 22 out of 40 in the elder group could recall the word when primed with the initial syllable. Denote p 1 and p 2 are the proportions of younger and elder groups, respectively. The hypotheses for the test are given below: Null hypothesis: H 0 : p 1 − p 2 = 0 . The difference population proportions of younger and elder groups are not significantly different from each other. Alternative hypothesis: H a : p 1 − p 2 > 0 . The population proportions of younger and elder groups are significantly different from each other. For α = 0.05 level of significance, Test for proportions : Software procedure: Step-by-step procedure to test two proportions using the MINITAB software: Choose Stat > Basic Statistics > 2 Proportions

13th Edition

ISBN: 9780134080215

Author: James T. McClave, Terry T Sincich

Publisher: PEARSON

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Chapter 9.4, Problem 73ACI

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Test the hypothesis that the elder group has a significantly higher recall rate than the younger group.

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Chapter 9.4, Problem 72ACI

Chapter 9.4, Problem 74ACI

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Statistics (13th Edition)

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