IV.4. Do you drink? Exercise IV.2 concerns a random sample of 1013 adults. Suppose that, in the population of all adults, exactly 35% would say that they completely abstain from drinking alcoholic beverages. Imagine that we take a very large number of SRSs of size 1013. For each sample, we record the proportion of the sample who would say that they totally abstain from alcoholic beverages.

  1. (a) What is the sampling distribution that describes the values would take in our samples?

  2. (b) Use this distribution and the 68–95–99.7 rule to find the approximate percentage of all samples in which more than 36.5% of the respondents would say that they totally abstain from alcoholic beverages.