Question

QUESTION 2 A hospital is offering three cardiac rehabilitation programs that are identical in content but are offered at three different times. The hospital would like to determine if the three slots are equally popular or convenient for patients. A total of 100 patients are involved in the study and each patient is asked to select the one day and time that is most convenient. Test whether the three day and time options are equally popular le test whether the proportions are each equal to 33). Use alpha=.05. Give each of the following to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work to receive full credit. Partial credit is available. Tuesday Wednesday 4:30-6 pm Saturday 8:30-10 am 6-7:30 pm # of patients TT T Arial 3(12pt) - T. Path:p Words:0 Click Save and submit to save and submit. Click Save ARA to sou all ans

Answer 1

1) Ho: three day and time option are equally popular

H1: three day and time option are not equally popular

2) Chi square test for Goodness of fit

3) level of significance, α=   0.05              
Degree of freedom=k-1=   3   -   1   =   2

Critical value =    5.9915   [ Excel function: =chisq.inv.rt(α,df) ]  

reject Ho if test stat >5.9915

4)

expected frequncy,E = expected proportions*total frequency  
total frequency=   100

observed frequencey, O	expected proportion	expected frequency,E			(O-E)²/E
46	0.333	33			4.813
33	0.333	33			0.003
21	0.333	33			4.563

chi square test statistic,X² = Σ(O-E)²/E =   9.3800

5) since, test stat > critical value, reject ho

there is enough evidence that three day and time option are not equally popular