A study is conducted to determine if bus ridership in a large city is higher during the afternoon rush hours than morning rush hours. The transit authority randomly selects nine buses and on a given day counts the number of riders at 7:45 AM and 4:45 PM. The results are shown below. Conduct an appropriate hypothesis test using 0.05 level of significance. Morning 43 43 37 25 47 42 48 55 52 Afternoon 41 49 44 32 46 55 53 52 50
A study is conducted to determine if bus ridership in a large city is higher during the afternoon rush hours than morning rush hours. The transit authority randomly selects nine buses and on a given day counts the number of riders at 7:45 AM and 4:45 PM. The results are shown below. Conduct an appropriate hypothesis test using 0.05 level of significance.
|
Morning |
43 |
43 |
37 |
25 |
47 |
42 |
48 |
55 |
52 |
|
Afternoon |
41 |
49 |
44 |
32 |
46 |
55 |
53 |
52 |
50 |
- If the null hypothesis is rejected, what is the actual risk of having made a wrong decision?
Enter the answer in percent and round it to the nearest integer. For example if the probability of wrong decision is 0.155, multiply it by 100 to change it to percent (100*0.155=15.5), and then round it to the nearest integer which would be 16. Enter 16 in the answer text box. If there is not enough information available to compute the probability enter “N” in the answer text box
Your answer is (percent in integer format/N):
- Which of the followings is/are appropriate conclusion for the hypotheses test? Note that there may be more than one appropriate conclusion.
Enter “A” if the conclusion is appropriate and enter “N” if the conclusion is not appropriate.
- At 95% confidence level, the data supports that the afternoon bus ridership is higher than the morning. Your answer(A/N) is:
- At 95% confidence level, the data does not support that the afternoon bus ridership is higher than the morning. Your answer (A/N) is:
- With a maximum risk of 10% of being wrong, we can conclude that the data supports that the afternoon bus ridership is higher than the morning. Your answer (A/N) is:
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