1. Are anesthesiologists overworked and therefore putting patients at risk? This question was investigated as part of a survey carried out at the University of Florida. The population of those practicing anethesiol- ogy was stratified into three groups: anethesiologists (composing approx- imately 70% of the population), anesthesiology residents (composing ap- proximately 10% of the population) and nurse anesthetists (composing approximating 20% of the population). The frequencies of those in each stratum who thought they had worked without a break beyond a safe limit sometime during the last 6 months are shown in the accompanying table: Frequency Percentage Job classification Beyond safe limit Anesthesiologist No 417 31.4 Yes 913 68.6 Anesthesiology resident No 29 17.6 Yes 136 82.4 Nurse anesthetist No 240 21.8 Yes 860 78.2 (a) From the statement of the question, what are the (approximate) val- ues of N₁/N, N2/N and N3/N? (b) Was proportional allocation used in assigning sample sizes to the three groups? Explain.

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1. Are anesthesiologists overworked and therefore putting patients at risk?
This question was investigated as part of a survey carried out at the
University of Florida. The population of those practicing anethesiol-
ogy was stratified into three groups: anethesiologists (composing approx-
imately 70% of the population), anesthesiology residents (composing ap-
proximately 10% of the population) and nurse anesthetists (composing
approximating 20% of the population). The frequencies of those in each
stratum who thought they had worked without a break beyond a safe limit
sometime during the last 6 months are shown in the accompanying table:
Frequency Percentage
Job classification
Beyond safe limit
Anesthesiologist
No
417
31.4
Yes
913
68.6
Anesthesiology resident
No
29
17.6
Yes
136
82.4
Nurse anesthetist
No
240
21.8
Yes
860
78.2
Transcribed Image Text:1. Are anesthesiologists overworked and therefore putting patients at risk? This question was investigated as part of a survey carried out at the University of Florida. The population of those practicing anethesiol- ogy was stratified into three groups: anethesiologists (composing approx- imately 70% of the population), anesthesiology residents (composing ap- proximately 10% of the population) and nurse anesthetists (composing approximating 20% of the population). The frequencies of those in each stratum who thought they had worked without a break beyond a safe limit sometime during the last 6 months are shown in the accompanying table: Frequency Percentage Job classification Beyond safe limit Anesthesiologist No 417 31.4 Yes 913 68.6 Anesthesiology resident No 29 17.6 Yes 136 82.4 Nurse anesthetist No 240 21.8 Yes 860 78.2
(a) From the statement of the question, what are the (approximate) val-
ues of N₁/N, N2/N and N3/N?
(b) Was proportional allocation used in assigning sample sizes to the
three groups? Explain.
Transcribed Image Text:(a) From the statement of the question, what are the (approximate) val- ues of N₁/N, N2/N and N3/N? (b) Was proportional allocation used in assigning sample sizes to the three groups? Explain.
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