Question

(4 pts) 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 702 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	232	165	397
8−13	82	69	151
14−21	34	60	94
22 or more	20	40	60
Total	368	334	702

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 χ2= 24.6958730612027

Using α=0.05, consider a test of H0: length of stay and retirement are not related vs.  HA: length of stay and retirement are related. Note that this problem involves a 4×2 contingency table and that the magic number for evaluating such a table at the α=0.05 level of significance is magic number = 7.81.

The final conclusion is

A. Accept H0. There is not sufficient evidence to conclude that the length of stay is related to retirement.
B. Reject H0. There is sufficient evidence to conclude that the length of stay is related to retirement.

Answer 1