Roper ASW conducted a survey to learn about American adults' attitudes toward money and happiness. 56% of the respondents said they balance their checkbook at least once a month.
a. Assume a sample of 400 American adults were taken. Show the sampling distribution of the proportion of adults who balance their checkbook at least once a month.
b. What is the probability that the sample proportion will be within ± .02 of the population proportion?
c. What is the probability that the sample proportion will be within ± .04 of the population proportion?