Use a significance level of 0.01 to test the claim that workplace accidents are
ID: 3292597 • Letter: U
Question
Use a significance level of 0.01 to test the claim that workplace accidents are distributed on workdays as follows: Monday 25%, Tuesday: 15%, Wednesday: 15%, Thursday: 15%, and Friday: 30%. In a study of 100 workplace accidents. 21 occurred on a Monday, 13 occurred on a Tuesday, 15 occurred on a Wednesday, 16 occurred on a Thursday, and 35 occurred on a Friday. Could these findings be a strong argument against the given claim on workplace accidents distribution? Faculty members at a number of universities were classified according to political ideology (left or right) and according to their academic tolerance (low, medium, or high). a. Is there significant evidence of an association between political ideology and academic tolerance? b. Describe the relation between political ideology and academic toleranceExplanation / Answer
1) null hypothesis: workplace distribution of accidents follows prior wokplace probability distribution.
alternate hypothesis:workplace distribution of accidents does notfollows prior wokplace probability distribution.
for above 4 degree of freedom and test stat 1.8067 ; p value =0.7713
as p value is very high compared to 0.01 level we can not reject null hypothesis.
therefore we do not have evidence against the claim on wokplace accidents distribution.
2)
null hypothesis: political idealogy and academic tolerance are not associated.
alternate hypothesis:political idealogy and academic tolerance are associated.
for above 2 degree of freedom and chi stat 40.946 ; p value =0.0000
as p value is significantly low we reject null hypothesis and conclude that there is sufficient evidence of association between political idealogy and academic tolerance.
b) for low academic tolerance ; political idealogy is inclined towards right and for high academic tolerance ; political idealogy is inclined towards left.
observed Expected Chi square Probability O E=total*p =(O-E)^2/E Monday 0.250 21.000 25.00 0.64 Tuesday 0.150 13.000 15.00 0.27 Wednesday 0.150 15.000 15.00 0.00 Thursday 0.150 16.000 15.00 0.07 Friday 0.300 35.000 30.00 0.83 1 100 100 1.8067Related Questions
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