PROBLEM 2 – TRAFFIC SAFETY

Situation:

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 the Chi-square Goodness of 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.