16. The sampling situation for calculating the standard error of the estimate, se(pd - Ân), is: one sample of size 1682, several response categories. two independent samples of sizes 2893 and 1264. one sample of size 4157, many yes/no items. one sample of size 4157, several response categories. one sample of size 1682, many yes/no items. O

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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16. The sampling situation for calculating the standard error of the estimate, se(pd - Ân), is:
O one sample of size 1682, several response categories.
Otwo independent samples of sizes 2893 and 1264.
O one sample of size 4157, many yes/no items.
O one sample of size 4157, several response categories.
Ⓒone sample of size 1682, many yes/no items.
Transcribed Image Text:16. The sampling situation for calculating the standard error of the estimate, se(pd - Ân), is: O one sample of size 1682, several response categories. Otwo independent samples of sizes 2893 and 1264. O one sample of size 4157, many yes/no items. O one sample of size 4157, several response categories. Ⓒone sample of size 1682, many yes/no items.
Researchers investigated the propensity of patients in emergency rooms to be prescribed pain medication. The
dataset for this study included the discharge notes of over 4000 patients attending a hospital emergency room
between 2014 and 2019.
Choshen-hillel, S., Sadras, I., Gordon-hecker, T., Genzer, S., Rekhtman, D., & Caruso, E. M. (2022). Physicians
prescribe fewer analgesics during night shifts than day shifts. Proceedings of the National Academy of Sciences,
119(27), e2200047119.
Two of the variables collected are described below:
Shift Type The type of shift the attending physician
was working at the time the patient was
seen.
- Day shift
(8 or 15 hour shift starting at 8am)
- Night shift
(12 or 16 hour shift starting at 8pm)
Prescription
Shift type
Whether or not pain medication was
prescribed
- Prescribed
- Not prescribed
The data collected on these two variables is displayed in the two-way table of counts below:
Day shift
Night shift
Prescription
Prescribed Not-prescribed Total
1644
2893
1249
433
831
1264
1682
2475
4157
Table 1: A two-way table of counts of the patient data
Let:
Pd be the underlying proportion of patients,
seen by a Day shift physician, who
received a prescription for pain
medication.
and
Pn be the underlying proportion of patients,
seen by a Night shift physician, who
received a prescription for pain medication.
The t-procedures tool was used to carry out a two-sided test for no difference between pd and Pn. Output from
the t-procedures tool is given in Figure 1.
Confidence level 95
se(p1 - p₂) = 0.0162
t-multiplier = 1.96
Hypothesised value for P₁ - P20
two-tailed P-value = 0.0000 (4 d.p.)
Figure 1: Screenshot of the t-procedures tool
Transcribed Image Text:Researchers investigated the propensity of patients in emergency rooms to be prescribed pain medication. The dataset for this study included the discharge notes of over 4000 patients attending a hospital emergency room between 2014 and 2019. Choshen-hillel, S., Sadras, I., Gordon-hecker, T., Genzer, S., Rekhtman, D., & Caruso, E. M. (2022). Physicians prescribe fewer analgesics during night shifts than day shifts. Proceedings of the National Academy of Sciences, 119(27), e2200047119. Two of the variables collected are described below: Shift Type The type of shift the attending physician was working at the time the patient was seen. - Day shift (8 or 15 hour shift starting at 8am) - Night shift (12 or 16 hour shift starting at 8pm) Prescription Shift type Whether or not pain medication was prescribed - Prescribed - Not prescribed The data collected on these two variables is displayed in the two-way table of counts below: Day shift Night shift Prescription Prescribed Not-prescribed Total 1644 2893 1249 433 831 1264 1682 2475 4157 Table 1: A two-way table of counts of the patient data Let: Pd be the underlying proportion of patients, seen by a Day shift physician, who received a prescription for pain medication. and Pn be the underlying proportion of patients, seen by a Night shift physician, who received a prescription for pain medication. The t-procedures tool was used to carry out a two-sided test for no difference between pd and Pn. Output from the t-procedures tool is given in Figure 1. Confidence level 95 se(p1 - p₂) = 0.0162 t-multiplier = 1.96 Hypothesised value for P₁ - P20 two-tailed P-value = 0.0000 (4 d.p.) Figure 1: Screenshot of the t-procedures tool
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