Question

(1 point) 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 717717 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
4−74−7	245245	171171	416416
8−138−13	8282	6868	150150
14−2114−21	3535	6060	9595
2222 or more	1616	4040	5656
Total	378378	339339	717717

With this information, construct a table of estimated expected values.

Number of Nights	Pre-retirement	Post-retirement
4−74−7
8−138−13
14−2114−21
2222 or more

Now, with that information, determine whether the length of stay is independent of retirement using α=0.01α=0.01.

(a)  χ2=χ2=

(b) Find the degrees of freedom:

(c) Find the critical value:  

(d) The final conclusion is

A. 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.
B. There is not sufficient evidence to reject the null hypothesis that the length of stay is independent of retirement.

Answer 1

The statistic software output for this problem is:

Test statistics is   =  29.300

Degrees of freedom = 3

critical value   =  11.34

A. 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.