In: Statistics and Probability
This data was collected at a physician’s office. One measure of patient satisfaction is the likelihood of a patient scheduling a return appointment. The goal is to keep the proportion of patients “unlikely” to schedule a return appointment to at most 25%. Test if the goal is being met. Use =.05. Clearly state your conclusion.
DATA:
Return Appointment Employment Status Age Distance
Unlikely Employed 62 12.7
Unlikely Unemployed 46 10.6
Likely Employed 59 9.7
Unlikely Unemployed 42 5.4
Likely Employed 74 11.6
Unlikely Employed 51 9.7
Likely Unemployed 50 15.6
Unlikely Employed 84 18.0
Likely Employed 75 7.7
Unlikely Unemployed 46 15.1
Likely Employed 54 7.9
Likely Unemployed 96 14.0
Likely Employed 43 11.9
Unlikely Unemployed 63 13.1
Unlikely Unemployed 44 6.0
Unlikely Employed 56 10.1
Likely Employed 80 18.1
Unlikely Unemployed 68 11.1
Likely Employed 97 13.4
Likely Unemployed 72 9.2
Likely Unemployed 81 7.6
Unlikely Employed 48 11.6
Likely Unemployed 77 11.5
Likely Unemployed 44 8.5
Likely Employed 74 9.7
Unlikely Employed 41 9.2
Unlikely Unemployed 42 9.0
Likely Unemployed 85 13.8
Likely Employed 64 14.5
Likely Unemployed 53 9.5
Unlikely Employed 68 9.3
Likely Unemployed 69 8.0
Likely Employed 73 11.9
Likely Unemployed 73 10.0
Likely Unemployed 82 16.1
Likely Unemployed 44 12.9
Likely Unemployed 40 12.9
Likely Employed 81 9.8
Likely Unemployed 60 12.3
Unlikely Employed 58 12.4
Likely Employed 49 15.4
Likely Employed 95 13.1
Unlikely Employed 50 10.0
Likely Unemployed 54 14.9
Likely Employed 44 9.5
Likely Unemployed 58 11.0
Unlikely Employed 84 7.0
Unlikely Employed 70 12.1
Unlikely Unemployed 55 6.6
Unlikely Employed 69 10.9
Likely Unemployed 64 12.2
Unlikely Unemployed 47 12.8
Unlikely Unemployed 59 15.1
Unlikely Employed 75 12.1
Likely Employed 48 12.7
Unlikely Unemployed 52 11.6
Likely Unemployed 46 14.5
Likely Unemployed 49 8.1
Likely Employed 67 13.8
Likely Unemployed 88 10.3
Unlikely Employed 68 8.8
Likely Unemployed 67 14.8
Likely Unemployed 60 8.7
Unlikely Employed 60 7.9
Likely Unemployed 41 11.8
Unlikely Employed 41 8.6
Unlikely Employed 90 9.5
Likely Unemployed 45 11.8
Likely Unemployed 81 14.5
Likely Unemployed 55 10.5
Unlikely Unemployed 41 12.1
Likely Unemployed 60 10.6
Unlikely Unemployed 66 20.5
This data was collected at a physician’s office. One measure of patient satisfaction is the likelihood of a patient scheduling a return appointment. The goal is to keep the proportion of patients “unlikely” to schedule a return appointment to at most 25%. Test if the goal is being met. Use a=.05. Clearly state your conclusion.
One sample proportion test
p=30/73=0.411
=3.1760
Table value of z at 0.05 level = 1.645
Rejection Region: Reject Ho if z > 1.345
Calculated z =3.1760 , falls in the rejection region
The null hypothesis is rejected.
There is enough evidence to reject the claim that the proportion of patients “unlikely” to schedule a return appointment to at most 25%.
One-Way Summary Table |
||
Count of ReturnAppointment |
||
ReturnAppointment |
Total |
Percentage |
Likely |
43 |
58.90% |
Unlikely |
30 |
41.10% |
Grand Total |
73 |
|
Z Test of Hypothesis for the Proportion |
|
Data |
|
Null Hypothesis p = |
0.25 |
Level of Significance |
0.05 |
Number of Items of Interest |
30 |
Sample Size |
73 |
Intermediate Calculations |
|
Sample Proportion |
0.410958904 |
Standard Error |
0.0507 |
Z Test Statistic |
3.1760 |
Upper-Tail Test |
|
Upper Critical Value |
1.645 |
p-Value |
0.0007 |
Reject the null hypothesis |