In examining the appointment procedures in four outpatient clincs, suppose that
ID: 3181436 • Letter: I
Question
In examining the appointment procedures in four outpatient clincs, suppose that we interviewed 90 patien t from each of the clins and asked them whether they experienced excessive waiting times during ythere past year. Using only thet responses of "yes or "no", suppose that 60 of the patients at clinic A, 20 of the patients at clinic B, 30 of the patients at clinic C, and 45 of the patients at clinic D indicated that they experieiced excessive waiting times during the previous year. Use x=0.05 to examine the propssition that the differences among population proportions are attribuatale to chance. Please show work, thank you
Explanation / Answer
here null hypothesis: differences among population proportions are attribuatale to chance
alternative hypothesis: they can not attribute to chance
for above chi stat 41.637 p value =0.0000
as p value is significantly low we reject null hypothesis
Observed O A B C D Total Yes 60 20 30 45 155 No 30 70 60 45 205 Total 90 90 90 90 360 Expected E=rowtotal*column total/grand total A B C D Total Yes 38.750 38.750 38.750 38.750 155 No 51.250 51.250 51.250 51.250 205 Total 90 90 90 90 360 chi square =(O-E)^2/E A B C D Total Yes 11.653 9.073 1.976 1.008 23.710 No 8.811 6.860 1.494 0.762 17.927 Total 20.464 15.932 3.470 1.770 41.637