It has been suggested that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 695 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below. Number of Nights Pre-retirement Post-retirement Total 4-7 244 171 415 8-13 81 62 143 14-21 34 54 88 22 or more 18 31 49 Total 377 318 695 With this information, construct a table of expected numbers. Number of Nights Pre-retirement Post-retirement 4-7 8-13 14-21 22 or more The chi-squared value is x2 = 18.4844516991975 Using a = 0.05, consider a test of Ho: length of stay and retirement are not related vs. HA: length of stay and retirement are related. Note that this problem involves a 4 x 2 0.05 level of significance is magic number = 7.81. contingency table and that the magic number for evaluating such a table at the a The final conclusion is A. Accept Ho. There is not sufficient evidence to conclude that the length of stay is related to retirement. B. Reject Ho. There is sufficient evidence to conclude that the length of stay is related to retirement.
It has been suggested that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 695 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below. Number of Nights Pre-retirement Post-retirement Total 4-7 244 171 415 8-13 81 62 143 14-21 34 54 88 22 or more 18 31 49 Total 377 318 695 With this information, construct a table of expected numbers. Number of Nights Pre-retirement Post-retirement 4-7 8-13 14-21 22 or more The chi-squared value is x2 = 18.4844516991975 Using a = 0.05, consider a test of Ho: length of stay and retirement are not related vs. HA: length of stay and retirement are related. Note that this problem involves a 4 x 2 0.05 level of significance is magic number = 7.81. contingency table and that the magic number for evaluating such a table at the a The final conclusion is A. Accept Ho. There is not sufficient evidence to conclude that the length of stay is related to retirement. B. Reject Ho. There is sufficient evidence to conclude that the length of stay is related to retirement.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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