Question

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

Answer 1

Answer:

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

Ho: P< 0.25. H1 : P > 0.25

p- P

p=30/73=0.411

0.411-0.25 0.25 (1-0.25)/73

=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