Perform 5 step Hypothesis tests {H 0 : Hotels and reason for not returning are i

Question

Perform 5 step Hypothesis tests {H0 : Hotels and reason for not returning are independent -not related VS. H1: Hotels and reasons are not independent – related} using = 0.05 and Minitab output. From the Minitab output, use the 2 (Chi-sq) and p-Value to perform 5 step hypothesis

Golden P Palm P PPrincess Total

    1        23       7         37                67

          31.53   11.82      23.65

          2.307   1.968      7.540

    2        39      13          8                60

          28.24   10.59      21.18

          4.104   0.549      8.199

    3        13       5         13                 31

          14.59    5.47      10.94

          0.173   0.040      0.387

    4       13       8          8                  29

          13.65    5.12      10.24

          0.031   1.623      0.488

Total        88      33         66              187

Chi-Sq = 27.410, DF = 6, P-Value = 0.000

df = (number of rows -1)(number of columns) = (4-1)(3-1)

Explanation / Answer

Chi-Sq = 27.410, DF = 6, P-Value = 0.000

since p-value < 0.05

we reject the null hypothesis

and conclude that there is significant evidence that

Hotels and reasons are not independent

Critical method

chi-square critical value for df = 6 , alpha = 0.05 is 12.6

since 27.41 > 12.6

we reject the null hypothesis

and conclude that there is significant evidence that

Hotels and reasons are not independent

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