Question
The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of the week. A sample of 420 accidents was collected.
The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of the week. A sample of 420 accidents was collected. It is believed that the distribution of the accidents varies based on the day of the week.
Action:
Using thechi-square goodnessof fit test and either Excel or Minitab, determine whether the proportion of accidents varies among the days of the week. Use a .01 level of significance and the following observed frequencies for accidents. Use the hypothesis testing procedure appropriate for this problem to help you make a decision.
Day | Frequency | |
Sunday | 66 | |
Monday | 50 | |
Tuesday | 53 | |
Wednesday | 47 | |
Thursday | 55 | |
Friday | 69 | |
Saturday | 80 |
a.SHOW THE Ho AND Ha APPROPRIATE FOR THIS PROBLEM
b.WHAT IS THE P-VALUE FOR THIS PROBLEM?
c.COMPARE P-VALUE TO PROBLEM STATEMENT SPECFIED SIGNIFICANCE VALUE AND STATE WHETHER Ho SHOULD OR SHOULD NOT BE REJECTED
d.BASED ON WHETHER Ho IS REJECTED/NOT REJECTED, STATE WHETHER THE DISTRIBUTION OF THE ACCIDENTS VARIES BASED UPIN THE DAY OF THE WEEK.
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