A new study to determine the effectiveness of winter flu vaccinations measures the benefits of a flu shot for school children. The study comprises two random samples of school children who were vaccinated. One sample is from a primary school and the other from a high school. Question 1 According to previous studies, 50% of vaccinated primary school children contract winter flu. If a study takes a random sample of 18 vaccinated primary school children, the probability that less than 4 children in the sample contract flu is 0.0038 0.0117 0.0154 0.6439 Question 2 For the random sample in Question 1, the probability that at least 4 children but no more than 8 children contract flu is 0.0154 0.2366 0.4035 0.5713 Question 3 The new study claims that the probability of contracting the winter flu among vaccinated high school children is less than 0.5. Assume that p is the population proportion of vaccinated high school children who contract the flu. The appropriate framework to test the new study's claim is H0:p>0.5 vs H1:p<0.5 H0:p=0 vs H1:p≠0 H0:p=0 vs H1:p>0 H0:p=0.5 vs H1:p<0.5
A new study to determine the effectiveness of winter flu vaccinations measures the benefits of a flu shot for school children. The study comprises two random samples of school children who were vaccinated. One sample is from a primary school and the other from a high school.
Question 1
According to previous studies, 50% of vaccinated primary school children contract winter flu. If a study takes a random sample of 18 vaccinated primary school children, the probability that less than 4 children in the sample contract flu is
0.0038
0.0117
0.0154
0.6439
Question 2
For the random sample in Question 1, the probability that at least 4 children but no more than 8 children contract flu is
0.0154
0.2366
0.4035
0.5713
Question 3
The new study claims that the probability of contracting the winter flu among vaccinated high school children is less than 0.5. Assume that p is the population proportion of vaccinated high school children who contract the flu. The appropriate framework to test the new study's claim is
H0:p>0.5 vs H1:p<0.5
H0:p=0 vs H1:p≠0
H0:p=0 vs H1:p>0
H0:p=0.5 vs H1:p<0.5
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