The American Nurses Association reports that 29 % of nurses in the U.S. work in the field of pediatric nursing. You are to randomly survey 32 nurses and ask the following question: Are you working in pediatric nursing? Let the random variable X represent the number of nurses, out of 32 surveyed, who respond YES (i.e., they are working in pediatric nursing). (a) (Worth 20%) What is the probability that the number of nurses who respond "YES" is greater than 5 but less than 10? P(5 < x < 10) - (use five decimals in your answer) (b) (Worth 20% each) How many of the 32 nurses would you expect to respond YES? Find the standard deviation as well. E(X)=px= (use two decimals in your answer) SD(X)=0x= | (use two decimals in your answer) (c) (Worth 20%) What is the probability that more than 17 of these nurses will respond YES? P(X > 17) (use six decimals in your answer) (d) (Worth 20%) If more than 17 nurses responded YES to the question about working in pediatric nursing, in a survey of 32 nurses (from the probability value you entered in part c). What can we conclude from this result? A. The survey question was clear, and no errors were made in the data collection process. B. The result is unusual, so we may have sampling bias in the survey, leading to more responses of YES. C. The result suggests that there has been a significant increase in the number of nurses working in pediatric nursing, and no further investigation is needed D. Nothing. The result is within the expected range, so everything is good
The American Nurses Association reports that 29 % of nurses in the U.S. work in the field of pediatric nursing. You are to randomly survey 32 nurses and ask the following question: Are you working in pediatric nursing? Let the random variable X represent the number of nurses, out of 32 surveyed, who respond YES (i.e., they are working in pediatric nursing). (a) (Worth 20%) What is the probability that the number of nurses who respond "YES" is greater than 5 but less than 10? P(5 < x < 10) - (use five decimals in your answer) (b) (Worth 20% each) How many of the 32 nurses would you expect to respond YES? Find the standard deviation as well. E(X)=px= (use two decimals in your answer) SD(X)=0x= | (use two decimals in your answer) (c) (Worth 20%) What is the probability that more than 17 of these nurses will respond YES? P(X > 17) (use six decimals in your answer) (d) (Worth 20%) If more than 17 nurses responded YES to the question about working in pediatric nursing, in a survey of 32 nurses (from the probability value you entered in part c). What can we conclude from this result? A. The survey question was clear, and no errors were made in the data collection process. B. The result is unusual, so we may have sampling bias in the survey, leading to more responses of YES. C. The result suggests that there has been a significant increase in the number of nurses working in pediatric nursing, and no further investigation is needed D. Nothing. The result is within the expected range, so everything is good
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 4SE: What is the difference between events and outcomes? Give an example of both using the sample space...
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Please help me with this statistics question
Transcribed Image Text:The American Nurses Association reports that 29 % of nurses in the U.S. work in the field of pediatric nursing. You are to randomly survey 32 nurses and ask the following question:
Are you working in pediatric nursing?
Let the random variable X represent the number of nurses, out of 32 surveyed, who respond YES (i.e., they are working in pediatric nursing).
(a) (Worth 20%) What is the probability that the number of nurses who respond "YES" is greater than 5 but less than 10?
P(5 < x < 10)
-
(use five decimals in your answer)
(b) (Worth 20% each) How many of the 32 nurses would you expect to respond YES? Find the standard deviation as well.
E(X)=px=
(use two decimals in your answer)
SD(X)=0x= |
(use two decimals in your answer)
(c) (Worth 20%) What is the probability that more than 17 of these nurses will respond YES?
P(X > 17)
(use six decimals in your answer)
(d) (Worth 20%) If more than 17 nurses responded YES to the question about working in pediatric nursing, in a survey of 32 nurses (from the probability value you entered in part c). What can we conclude from this result?
A. The survey question was clear, and no errors were made in the data collection process.
B. The result is unusual, so we may have sampling bias in the survey, leading to more responses of YES.
C. The result suggests that there has been a significant increase in the number of nurses working in pediatric nursing, and no further investigation is needed
D. Nothing. The result is within the expected range, so everything is good
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