A professor wishes to see if students show a time preference for statistics classes. A sample of four statistics classes shows the enrollment. At α=0.05α=0.05 , do the students show a time preference for the classes? Time 8:00 AM 10:00 AM 12:00 PM 2:00 PM Observed students 12 36 34 38 Step 1. Set up the null and alternative hypothesis. Ho: p(8:00 am) = p(10:00 am) = p( 12:00 pm) = p(2:00 pm) = 1/4 = 0.25 H1: At least one is different Step 2. Find expected frequencies E (8:00 am) = 30 E (10:00 am) = 30 E (12:00 pm) = 30 E (2:00 pm) = 30 Step 3. Compute test statistic. Round the answer in one decimal place. Chi square statistic = 14.7 Step 4. Find critical value. Round the answer in one decimal place. Critical value = Step 5. Decision A. Reject the Ho B. Do not reject the Ho Type A or B in the answer box Step 6. Conclusion C. There is enough evidence to support the claim that the percentages are equal. D. There is not enough evidence to support the claim that the percentages are equal. Type C or D in the box PLEASE SOLVE SUB PARTS AFTER STEP 4
A professor wishes to see if students show a time preference for statistics classes. A sample of four statistics classes shows the enrollment. At α=0.05α=0.05 , do the students show a time preference for the classes?
| Time | 8:00 AM | 10:00 AM | 12:00 PM | 2:00 PM |
| Observed students | 12 | 36 | 34 | 38 |
Step 1. Set up the null and alternative hypothesis.
Ho: p(8:00 am) = p(10:00 am) = p( 12:00 pm) = p(2:00 pm) = 1/4 = 0.25
H1: At least one is different
Step 2. Find expected frequencies
E (8:00 am) = 30
E (10:00 am) = 30
E (12:00 pm) = 30
E (2:00 pm) = 30
Step 3. Compute test statistic. Round the answer in one decimal place.
Chi square statistic = 14.7
Step 4. Find critical value. Round the answer in one decimal place.
Critical value =
Step 5. Decision
A. Reject the Ho
B. Do not reject the Ho
Type A or B in the answer box
Step 6. Conclusion
C. There is enough evidence to support the claim that the percentages are equal.
D. There is not enough evidence to support the claim that the percentages are equal.
Type C or D in the box
PLEASE SOLVE SUB PARTS AFTER STEP 4
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