The town council wants to estimate the proportion of all adults in their medium-sized town who favor a tax increase to support the local school system. Which of the

following sampling plans is most appropriate for estimating this proportion?

a. A random sample of $250$names from the local phone book

b. A random sample of $200$parents whose children attend one of the local schools

c. A sample consisting of $500$people from the city who take an online survey about the issue

d. A random sample of $300$homeowners in the town

e. A random sample of $100$people from an alphabetical list of all adults who live in the town

Given in the question that, the town council wants to estimate the proportion of all adults in their medium-sized town who favor a tax increase to support the local school system. We need to find a most appropriate sampling plans for estimating this proportion from the options.

The town council wants to know how many adults in their medium-sized town support raising taxes to fund the local education system. As a result, we must consider the three conditions for computing a population proportion hypothesis test: random, independent, and normal.

As a result, option (e) is the most appropriate sample plan since everyone in the population is expected to be listed in the alphabetical list of all adults, and because we choose a random sample from the list, the random requirement will be satisfied. The prerequisites are not met in the rest of the options. As a result, option (e) is the proper choice.