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Answer :
The most appropriate sampling plan for estimating the proportion of all adults in the medium-sized town who favor a tax increase to support the local school system is D) a random sample of 100 people from an alphabetical list of all adults who live in the town.
A random sample is needed to ensure that each member of the population has an equal chance of being included in the sample. Among the given options, a random sample of 100 people from an alphabetical list of all adults who live in the town is the most appropriate because it is a representative sample of the entire population of adults in the town.
The other options have potential sources of bias, as follows:
A random sample of 250 names from the local phone book may exclude people who do not have a phone or whose numbers are unlisted.
A random sample of 200 parents whose children attend one of the local schools may be biased towards those who have children in the school system, which may not accurately represent the views of all adults in the town.
A sample consisting of 500 people from the city who take an online survey about the issue may only capture the opinions of those who have access to the internet and are willing to participate in the survey, which may not represent the views of all adults in the town.
A random sample of 300 homeowners in the town may be biased towards those who own homes, which may not represent the views of all adults in the town.
Therefore, a random sample of 100 people from an alphabetical list of all adults who live in the town is the most appropriate sampling plan for estimating the proportion of all adults in the medium-sized town who favor a tax increase to support the local school system. So d is correct option.
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