Martha works for a pharmaceutical company and wants the opinions of parents in a

Question

Martha works for a pharmaceutical company and wants the opinions of parents in a small town about vaccines. To get a of responses she takes 3 difference samples. She sits in the waiting room of a local pediatrician's office and asks parents if their children received the first vaccine for measles. She receives 246 responses and finds that 99% of the parents had their children receive the first vaccine for measles. She calculates a margin of error for a 95% confidence interval to be 1.2%. She randomly selects households in the community and visits each of the households. If the household includes children, then she asks the parents if their children received the first vaccine for measles. She visits 250 households with children and finds that 92% of the children have been vaccinated for measles. She calculates a margin of error tor a 95% confidence interval to be 3.4%. She puts flyers up around town that asks residents that have children to email her and let her know if their children received the first vaccine for measles. She receives many emails so she randomly picks 300 emails and finds that 89% of the 300 parents had their children received the first vaccine for measles. She calculates a margin of error for a 95% confidence interval to be 3.5%. For each sample, explain at least one source of sampling bias or explain why there is no sampling bias. Explain which sample result would most accurately reflect the percent of parents in this small town who had their children vaccinated for measles? What is the probability that the interval generated from the sample you picked in part b would not include the proportion of parents in this small town who have had their children vaccinated for measles? From any of the samples can you make the claim that at least 90% of parents had their children vaccinated for measles? Explain your answer.

Explanation / Answer

1. For the first sample , a huge sampling bias arises for "distance of houses of parents from local office" or, "the parents who were busy at the time of calling them".

For the second sample, no sampling bias arises because she goes to the every household and get primary data, and also households are selected randomly.

For the third sample, a sampling bias arises because "the parents who have no email" or "the parents who were busy at the time of giving handbills".

2. The result of second sample is more accurate than the others as no sampling bias arises.

3. As the margin of error is given 3.4, so the required probability will be 0.34.

4. For the second sample, we may claim that at least 90 parents had their children vaccinated for measles. Because, it has an ignorable sampling fluctuation and the reliable result is 92 children have been vaccinated for measles.

Related Questions

Navigate

• Browse (All)
• Browse M
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.