Perform the indicated goodness-of-fit test. A company manager wishes to test a u

Question

Perform the indicated goodness-of-fit test. A company manager wishes to test a union leader's claim that absences occur on the different week days with the same frequencies. Test this claim at the 0.05 level of significance if the following sample data have been compiled. Ho: Absences occur with the same frequency at the company Ha: Absences do not occur with the same frequency at the company What is the p-value and conclusion? p-value = 0.0000108 Reject Ho Accept Ho p-value = 1.08 Do not reject Ho Accept Ha p-value = -2.150 Do not right Ho Do not reject Ha p-value = 0.255 Do not reject Ha Accept H_o

Explanation / Answer

Ho : p1 = p2 = p3 = p4 = p5
Ha : At least one is different
Using a TI - 83 calculator > program goodness of fit
Observed values are : Mon = 37, Tue =15,...,Fri = 43
Expected values are =n/k=130/5= 26;
Output : 2 test statistics = 28.31, p - value 0, df = 4

p - value of approx 0 is less than 0.05, Reject Ho equality of proportions!

Interpret : There IS enough evidence to reject the claim that absences occur on
different week days with the same frequencies.

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