Researchers investigated the propensity of patients in emergency rooms to be prescribed pain medication. Thedataset for this study included the discharge notes of over 4000 patients attending a hospital emergency roombetween 2014 and 2019.Choshen-hillel, S., Sadras, I., Gordon-hecker, T., Genzer, S., Rekhtman, D., & Caruso, E. M. (2022). Physiciansprescribe 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 physicianwas working at the time the patient wasseen.- Day shift(8 or 15 hour shift starting at 8am)- Night shift(12 or 16 hour shift starting at 8pm)PrescriptionWhether or not pain medication wasprescribed- Prescribed- Not prescribedThe data collected on these two variables is displayed in the two-way table of counts below:Shift typeNot-prescribed Total16442893831126424754157Table 1: A two-way table of counts of the patient dataPrescriptionDay shiftNight shiftPrescribed12494331682Let:Pd be the underlying proportion of patients,seen by a Day shift physician, whoreceived a prescription for painmedication.andPn be the underlying proportion of patients,seen by a Night shift physician, whoreceived 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 fromthe t-procedures tool is given in Figure 1.Confidence level 95se(p1 - ₂) = 0.0162t-multiplier = 1.96Hypothesised value for P1 - P20two-tailed P-value = 0.0000 (4 d.p.)Figure 1: Screenshot of the t-procedures tool 15. Which one of the following is a correct set of hypotheses for this t-test?Ho Pd - Pn=0H₁: pd - Pn>0OOHo pd pn=0H1 pd pn 0Ho Pd - Pn 0pd - Pn> 0H1Ho pd pn 0H1: pd - În = 0Ho Pd - Pn = 0H1: pd - Pn #0

It is needed to choose the correct set of hypotheses of this t-test.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Which one of the following is a correct set of hypotheses for this t-test? Ho: Pd - Pn=0 H1: pd - Pn > 0 Ho: pd - Pn=0 H1: pd - pn #0 Ho: Pd - Pn #0 H1: pd - Pn>0 Ho: pd - În #0 H1: pd - În = 0 Ho Pd - Pn=0 H₁: pd - Pn #0