Anew vaccine was tested to see if it could prevent the ear infections that many
ID: 3369042 • Letter: A
Question
Anew 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 394 of 2459 vaccinated children had ear infections, compared to 426 of 2451 unvaccinated Children. A positive 99.9% 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 (-2.1%,4.9%). Suppose that instead you had conducted a hypothesis test. Complete parts a through e below without actually doing the test. D. Ho : pv _pNV?0 E. Ho Pv -PNV 0 b) State a conclusion based on the given confidence interval. Choose the correct answer below A.ecause 0 is in the confidence interval, fail to reject the null hypothesis. There is not sufficient evidence to conclude that the vaccine reduces the rate of ear infections. B. Because 0 is not in the confidence interval, reject the null hypothesis. There is sufficient evidence to conclude that the vaccine reduces the rate of ear infections. Because 0 is in the confidence interval, reject the null hypothesis. There is sufficient evidence to conclude that the vaccine reduces the rate of ear infections Because 0 is not in the confidence interval, fail to reject the null hypothesis. There is not sufficient evidence to conclude that the vaccine reduces the rate of ° C. D. ear infections c) What alpha level did your test use? ? = | % (Type an integer or a decimal.)Explanation / Answer
Soluition:-
B)
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: PV = PNV
Alternative hypothesis: PV < PNV
Note that these hypotheses constitute a one-tailed test.
C) alpha = 0.1%.