Please Help! (1 pt) It has been suggusted that the highest priority of retirees
ID: 3159700 • Letter: P
Question
Please Help!
(1 pt) 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 674 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below.
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 =0.01 .
(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.
Explanation / Answer
Doing an Expected Value Chart,
a)
Using chi^2 = Sum[(O - E)^2/E],
chi^2 = 23.54466127 [ANSWER]
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b)
With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,
a = 2
b = 4
df = 3 [ANSWER]
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c)
Thus, the critical value is
significance level = 0.01
chi^2(critical) = 11.34486673 [ANSWER]
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d)
As chi^2 > 11.345, we REJECT THE NULL HYPOTHESIS.
OPTION 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, B]
217.2433 191.7567 73.83086 65.16914 44.61721 39.38279 22.30861 19.69139