It has been suggusted that the highest priority of retirees is travel. Thus, a s

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 683 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below. You may round all answers for this problem to the nearest hundredth.

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

Now, with that information, determine whether the length of stay is independent of retirement using =0.05

(a) 2=

(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.

Number of Nights Pre-retirement Post-retirement Total 47 237 173 410 813 77 61 138 1421 32 57 89 22 or more 12 34 46 Total 358 325 683

Explanation / Answer

estimate expected values:

b)

applying chi square test :

a) 2= 27.860

b)degree of freedom =(row-1)*(column-1) =(4-1)*(2-1) =3

c) critical value: =7.8147

d)  final conclusion is : option B

E=rowtotal*column total/grand total Pre-retirement Post-retirement 47 214.905 195.095 813 72.334 65.666 1421 46.650 42.350 22 or more 24.111 21.889

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