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5. Previous Problem Problem List Next Problem (2 points) It has been suggested that the highest priority of retirees is travel. Thus, a study was

5.

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Previous Problem Problem List Next Problem (2 points) 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 687 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 4-7 237 165 402 8 - 13 79 62 141 14 - 21 35 59 94 22 or more 17 33 50 Total 368 319 687 With this information, construct a table of estimated expected values. Number of Nights Pre-retirement Post-retirement 4-7 8 - 13 14 - 21 22 or more Now, with that information, determine whether the length of stay is independent of retirement using a = 0.05. (a) x2 = (b) Find the degrees of freedom: (c) Find the critical value. (d) The final conclusion is A. There is not sufficient evidence to reject the null hypothesis that the length of stay is independent of retirement B. We can reject the null hypothesis that the length of stay is independent of retirement and accept the alternative hypothesis that the two are dependent. Note: You can earn partial credit on this problem. arch O 20 19 C A

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