Question

To evaluate the policy of routine vaccination of infants for whooping cough, adverse reactions were monitored in 339 infants who received their first injection of vaccine. Reactions were noted in 69 of the infants. Interpret the confidence interval from part a. We are 95% confident the true probability of an adverse reaction is between 0.162 and 0.250 for all infants receiving the whooping cough vaccination. We are 95% confident the true probability of an adverse reaction is between 0.168 and 0.243 for all infants receiving the whooping cough vaccination. There is a that 95% chance that the true probability of an adverse reaction is between 0.162 and 0.250 for all infants receiving the whooping cough vaccination. We are 95% chance that the true probability of an adverse reaction is between 0.168 and 0.243 for all infants receiving the whooping cough vaccination.

          To evaluate the policy of routine vaccination of infants for whooping cough, adverse reactions were monitored in 339 infants who received their first injection of vaccine. Reactions were noted in 69 of the infants. Interpret the confidence interval from part a.    We are 95% confident the true probability of an adverse reaction is between 0.162 and 0.250 for all infants receiving the whooping cough vaccination.    We are 95% confident the true probability of an adverse reaction is between 0.168 and 0.243 for all infants receiving the whooping cough vaccination.    There is a that 95% chance that the true probability of an adverse reaction is between 0.162 and 0.250 for all infants receiving the whooping cough vaccination.    We are 95% chance that the true probability of an adverse reaction is between 0.168 and 0.243 for all infants receiving the whooping cough vaccination.

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Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Frank Deng

07/30/2022

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The confidence interval provides a range of values within which we expect the true probability of an adverse reaction to the whooping cough vaccination lies, based on the sample data collected from 339 infants. Show more…

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To evaluate the policy of routine vaccination of infants for whooping cough, adverse reactions were monitored in 339 infants who received their first injection of vaccine. Reactions were noted in 69 of the infants. Interpret the confidence interval from part a. We are 95% confident the true probability of an adverse reaction is between 0.162 and 0.250 for all infants receiving the whooping cough vaccination. We are 95% confident the true probability of an adverse reaction is between 0.168 and 0.243 for all infants receiving the whooping cough vaccination. There is a that 95% chance that the true probability of an adverse reaction is between 0.162 and 0.250 for all infants receiving the whooping cough vaccination. We are 95% chance that the true probability of an adverse reaction is between 0.168 and 0.243 for all infants receiving the whooping cough vaccination.

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00:01 In this question, you look at a study, right, experimental study, to evaluate the effectiveness of some vaccine, right? so in this study, it sampled 1 ,000 healthy children, right? five hundred of them, so 500 of these children is going to receive the new vaccine, right? new vaccine.

00:25 And 500 of them is going to receive old vaccine, right? and then these children will be followed by two years to monitor the disease.

00:35 And in our study, the risk ratio, the risk ratio, according to the question, is 0 .5 among the children with new vaccination, right? so this children vaccinated with new vaccine, you know, has a risk ratio 0 .5 compared to the the children who receive the old vaccine.

01:02 So the, and then the experiment, the end in the research of calculate the 95 % confidative interval, converse interval for this relative risk and it was found that this conflict, this, this, this, this, this, this, this, this, this, this, this, this, this, it's between 0 .2 and 0 .8.

01:24 And, and the p value, that is the p value, p value for this calculation actually is 0 .0.

01:31 0 .1, right? so you asked, you're giving a few statements regarding the, you know, the information, and you asked which one of this is actually correct.

01:42 So first statement says the children who received a new vaccine had a 50 % reduced risk or have the risk of developing patous, butus compared to this received a out vaccine.

02:01 This is not exactly, this is not exactly true, right? because what this confers in interval basically says is that the average, right, the mean a value of this risk ratio is likely to lie between these two numbers, you know, with a 95 % chance, right? so it does not really say the children who receive a new vaccine had a 15 % percent reduced risk...

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