A vaccine to prevent a severe virus was given to children within the first year of life as part of a drug study. The study reported that of the
3029 children randomly assigned the vaccine, 49 got the virus. Of the 1584 children randomly assigned the placebo, 43 got the virus.
a. Find the sample percentage of children who caught the virus in each group. Is the sample percentage lower for the vaccine group, as investigators hoped?
b. Determine whether the vaccine is effective in reducing the chance of catching the virus, using a significance level of
0.10
Find z test statistic and p-value
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