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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 (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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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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