The president of Doerman Distributors, Inc., believes that 30% of the firm's orders come from first-time customers. Arandom sample of 100 orders will be used to estimate the proportion of first-time customers. a. Assume that the president is correct and p .30. What is the sampling distribution of p bar for this study? b. What is the probability that the sample proportion p bar will be between .20 and .40? c. What is the probability that the sample proportion p bar will be between .25 and .35? 2. The Cincinnati Enquirer reported that, in the United States, 66% of adults and 87% of youths ages 12 to 17 use the Internet (The Cincinnati Enquirer, February 7, 2006). Use the reported numbers as the population proportions and assume that samples of 300 adults and 300 youths will be used to learn about attitudes toward Internet security.
a. Show the sampling distribution of where is the sample proportion of adults using the Internet.
b. What is the probability that the sample proportion of adults using the Internet will be within .04 of the population proportion?
c. What is the probability that the sample proportion of youths using the Internet will be within .04 of the population proportion?