Which of the following sampling plans for estimating the proportion of all adults in a medium-sized town who favor a tax increase to support the local school system does not suffer from undercoverage bias?

(a) A random sample of 250names from the local phone book

(b) A random sample of 200parents whose children attend one of the local schools

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

(d) A random sample of 300homeowners in the town

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

Short Answer

Expert verified

Option (e) is the sampling plans for estimating the proportion of all adults in a medium-sized town who favor a tax increase to support the local school system does not suffer from undercoverage bias.

Step by step solution

01

Given information

We are given some sampling plans and we have to find which sampling plan is for estimating the proportion of all adults in a medium-sized town who favor a tax increase to support the local school system does not suffer from undercoverage bias.

02

Simplify

Undercoverage bias means the samples which does not give or represents the full sample.

(a) A random sample of 250names from the local phone book. in this sample some people who may not be listed in phonebook due to some law enforcement. and in this condition there may be people who favour tax increase creating a bias.

(b) A random sample of 200parents whose children attend one of the local schools. This sample does not include adults who don't have children who attend local schools, therefore this will be considered as undercoverage bias.

(c) A sample consisting of 500people from the city who take an online survey about the issue . This sample does not include adults who don't use online surveys.

(d) A random sample of 300homeowners in the town . It is not necessary that every adult would be homeowners.

(e) A random sample of 100people from an alphabetical list of all adults who live in the town . This sample can be considered as undercoverage bias as it will have all adults, where some may not favour tax increase.

Hence, option (e) is correct.

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