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...

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Extracted 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.