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Problem 3. A study claims that 75% of children under the age of 13 in British Columbia have been vaccinated against the chicken pox. A survey of randomly se- lected residents of a certain city included 800 children who were under the age of 13. a) Does the distribution of p. the sample proportion of non-vaccinated children, have an approximate normal distribution? If so, what is its mean and standard deviation? b) What is the approximated probability that sample proportion p is more than 184/800? c) What is the probability that p lies within the interval from .23 to .37?

Problem 3. A study claims that 75% of children under the age of 13 in British Columbia have been vaccinated against the chicken pox. A survey of randomly se- lected residents of a certain city included 800 children who were under the age of 13. a) Does the distribution of p. the sample proportion of non-vaccinated children, have an approximate normal distribution? If so, what is its mean and standard deviation? b) What is the approximated probability that sample proportion p is more than 184/800? c) What is the probability that p lies within the interval from .23 to .37?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
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Problem 3. A study claims that 75% of children under the age of 13 in British Columbia have been vaccinated against the chicken pox. A survey of randomly se- lected residents of a certain city included 800 children who were under the age of 13. a) Does the distribution of P, the sample proportion of non-vaccinated children, have an approximate normal distribution? If so, what is its mean and standard deviation? b) What is the approximated probability that sample proportion p is more than 184/800? c) What is the probability that p lies within the interval from .23 to 37? d) Would the sample proportion value p= (0.37 contradict the reported value p of the study? Explain briefly.
Transcribed Image Text:Problem 3. A study claims that 75% of children under the age of 13 in British Columbia have been vaccinated against the chicken pox. A survey of randomly se- lected residents of a certain city included 800 children who were under the age of 13. a) Does the distribution of P, the sample proportion of non-vaccinated children, have an approximate normal distribution? If so, what is its mean and standard deviation? b) What is the approximated probability that sample proportion p is more than 184/800? c) What is the probability that p lies within the interval from .23 to 37? d) Would the sample proportion value p= (0.37 contradict the reported value p of the study? Explain briefly.
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