A new vaccine was tested to see if it could prevent the ear infections that many

Question

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 412 of 2457 vaccinated children had ear infections compared to 490 of 2448 unvaccinated children. A positive 99% confidence interval for the difference in the rates of ear infection was used to examine the effectiveness of a vaccine against ear infections in babies and was found to be (0.4%,6.1%). Suppose that instead you had conducted a hypothesis test. Complete parts a through e below without actually doing the test a) Let py represent the true proportion of vaccinated children who had ear infections and py represent the true proportion of unvaccinated children who had ear infections. What hypotheses would you test? b) State a conclusion based on the given confidence interval. Choose the correct answer below O A. Because o is not in the contidence interval, reject the null hypothesis. There is sumicient evidence to concdude that the vacine reduces the rate of ear intections O B. Because 0 is in the confidence interval, fail to reject the null hypothesis. There is sufficient evidence to condude that the vaccine reduces the rate of ear infections ° C. Because 0 is not in the confidence interval, reject the null hypothesis. There is not sufficient evidence to condude that the vaccine reduces the rate of ear infections. D. Because 0 is in the confidence interval, fail to rejectthe null hypothesis. There is not sutaent evidence to conclude that the vacc ne reduces the rate of earmtections

Explanation / Answer

a) for hypothesis: option C is correct

b)option A is correct

c)alpha level =0.005

d)type I error

e)option C is correct.

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