It has been suggested that the highest priority of is travel. Thus a study was c

Question

It has been suggested that the highest priority of is travel. Thus a study was conducted to the differences in the length of stay of a trip A sample of 698 travelers were asked how long they stayed on typical trip. The observed result of the study are found below Now with that information, determine whether the length of stay is independent of refirement using alpha = 0.06 x^2 =__________Find the degrees of freedom_________Find the critical value__________The final conclusion is______________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. There is not sufficient evidence to reject the null hypothesis that the length of stay is independent of refirement.

Explanation / Answer

Doing an Expected Value Chart,   we can fill the blanks wih the values below:

      

          
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a)

Using chi^2 = Sum[(O - E)^2/E],          
          
chi^2 =    18.76474257 [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 =    0.05      
          
chi^2(critical) =    7.815 [ANSWER]

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As chi^2 > 7.815, we   REJECT THE NULL HYPOTHESIS.      
          
Hence,

OPTION A: Reject the null hypothesis. [ANSWER]

216.0458 183.9542 77.7765 66.2235 52.39112 44.60888 30.78653 26.21347

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