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
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 |
- SHOW THE Ho AND Ha APPROPRIATE FOR THIS PROBLEM
- WHAT IS THE P-VALUE FOR THIS PROBLEM?
- COMPARE P-VALUE TO PROBLEM STATEMENT SPECIFIED SIGNIFICANCE VALUE AND STATE WHETHER Ho SHOULD OR SHOULD NOT BE REJECTED
- 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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