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A new vaccine was tested to see if it could prevent the ear infections that many infants suffer from. Babies about a year old were randomly divided into two groups. One group received vaccinations, and the other did not. The following year, only 329 of 2454 vaccinated children had ear infections, compared to 506 of 2448 unvaccinated children. Complete parts a) through c) below. a) Are the conditions for inference satisfied? OA. No. More than 10% of the population was sampled. OB. No. It was not a random sample. OC. No. The groups were not independent. D. Yes. The data were generated by a randomized experiment, less than 10% of the population was sampled, the groups were independent, and there were more than 10 successes and failures in each group. b) Let p, be the sample proportion of success in the unvaccinated group, and let p₂ be the sample proportion of success the vaccinated group. Find the 95% confidence interval for the difference in rates of ear infection, P₁-P2. The confidence interval is (%%). (Do not round until the final answer. Then round to one decimal place as needed.)

A new vaccine was tested to see if it could prevent the ear infections that many infants suffer from. Babies about a year old were randomly divided into two groups. One group received vaccinations, and the other did not. The following year, only 329 of 2454 vaccinated children had ear infections, compared to 506 of 2448 unvaccinated children. Complete parts a) through c) below. a) Are the conditions for inference satisfied? OA. No. More than 10% of the population was sampled. OB. No. It was not a random sample. OC. No. The groups were not independent. D. Yes. The data were generated by a randomized experiment, less than 10% of the population was sampled, the groups were independent, and there were more than 10 successes and failures in each group. b) Let p, be the sample proportion of success in the unvaccinated group, and let p₂ be the sample proportion of success the vaccinated group. Find the 95% confidence interval for the difference in rates of ear infection, P₁-P2. The confidence interval is (%%). (Do not round until the final answer. Then round to one decimal place as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A new vaccine was tested to see if it could prevent the ear infections that many infants suffer from. Babies about year old were randomly divided into two groups. One group received vaccinations, and the other did not. The following year, only 329 of 2454 vaccinated children had ear infections, compared to 506 of 2448 unvaccinated children. Complete parts a) through c) below. a) Are the conditions for inference satisfied? OA. No. More than 10% of the population was sampled. OB. No. It was not a random sample. OC. No. The groups were not independent. D. Yes. The data were generated by a randomized experiment, less than 10% of the population was sampled, the groups were independent, and there were more than 10 successes and failures in each group. b) Letp, be the sample proportion of success in the unvaccinated group, and let p2 be the sample proportion of success in the vaccinated group. Find the 95% confidence interval for the difference in rates of ear infection, P₁-P2- The confidence interval is (%,%). (Do not round until the final answer. Then round to one decimal place as needed.)
Transcribed Image Text:A new vaccine was tested to see if it could prevent the ear infections that many infants suffer from. Babies about year old were randomly divided into two groups. One group received vaccinations, and the other did not. The following year, only 329 of 2454 vaccinated children had ear infections, compared to 506 of 2448 unvaccinated children. Complete parts a) through c) below. a) Are the conditions for inference satisfied? OA. No. More than 10% of the population was sampled. OB. No. It was not a random sample. OC. No. The groups were not independent. D. Yes. The data were generated by a randomized experiment, less than 10% of the population was sampled, the groups were independent, and there were more than 10 successes and failures in each group. b) Letp, be the sample proportion of success in the unvaccinated group, and let p2 be the sample proportion of success in the vaccinated group. Find the 95% confidence interval for the difference in rates of ear infection, P₁-P2- The confidence interval is (%,%). (Do not round until the final answer. Then round to one decimal place as needed.)
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