Question

it has been suggusted 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 713 713 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 4 − 7 250 250 169 169 419 419 8−13 8 − 13 83 83 67 67 150 150 14−21 14 − 21 31 31 57 57 88 88 22 22 or more 20 20 36 36 56 56 Total 384 384 329 329 713 713 With this information, construct a table of estimated expected values. Number of Nights Pre-retirement Post-retirement 4−7 4 − 7 8−13 8 − 13 14−21 14 − 21 22 22 or more Now, with that information, determine whether the length of stay is independent of retirement using α=0.05 α = 0.05 . (a) χ2= χ 2 = (b) Find the degrees of freedom: (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.

Answer 1