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) =  E (10:00 am) =  E (12:00 pm) =  E (2:00 pm) =  Step 3. Compute test statistic. Round the answer in one decimal place. Chi square statistic =  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

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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) = 

E (10:00 am) = 

E (12:00 pm) = 

E (2:00 pm) = 

Step 3. Compute test statistic. Round the answer in one decimal place.

Chi square statistic = 

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 

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