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
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2812bff8-be43-4d45-9951-77037de40dcd%2F72fa095c-e0d4-44c8-bb59-9f186906213e%2Fj687uhg_processed.jpeg&w=3840&q=75)
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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