A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical trials, 200,000 children were randomly divided in two groups. The subjects in group 1 (the experimental group) were given the vaccine, while the subjects in group 2 (the control group) were given a placebo. Of the 100,000 children in the experimental group, 15 developed the disease. Of the 100,000 children in the control group, 50 developed the disease. Complete parts (a) through (f) below. (a) What type of experimental design is this? Completely randomized design Case-control Matched-pairs design O Randomized block design (b) What is the response variable? O A. The amount of the vaccine received O B. Whether the subject contracted the disease or not O C. Whether the subject was in group 1 or group 2 O D. Whether the vaccine prevented the disease or not

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A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical trials, 200,000 children were randomly divided in two groups.
The subjects in group 1 (the experimental group) were given the vaccine, while the subjects in group 2 (the control group) were given a placebo. Of the 100,000
children in the experimental group, 15 developed the disease. Of the 100,000 children in the control group, 50 developed the disease. Complete parts (a) through (f)
below.
(a) What type of experimental design is this?
Completely randomized design
Case-control
Matched-pairs design
Randomized block design
(b) What is the response variable?
O A. The amount of the vaccine received
B. Whether the subject contracted the disease or not
C. Whether the subject was in group 1 or group 2
O D. Whether the vaccine prevented the disease or not
Transcribed Image Text:A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical trials, 200,000 children were randomly divided in two groups. The subjects in group 1 (the experimental group) were given the vaccine, while the subjects in group 2 (the control group) were given a placebo. Of the 100,000 children in the experimental group, 15 developed the disease. Of the 100,000 children in the control group, 50 developed the disease. Complete parts (a) through (f) below. (a) What type of experimental design is this? Completely randomized design Case-control Matched-pairs design Randomized block design (b) What is the response variable? O A. The amount of the vaccine received B. Whether the subject contracted the disease or not C. Whether the subject was in group 1 or group 2 O D. Whether the vaccine prevented the disease or not
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What would the test statistic and p-value be for this? Thanks!

A doctor released the results of clinical trials for a vaccine to prevent a particular disease.
In these clinical trials, 200,000 children were randomly divided in two groups. The subjects
in group 1 (the experimental group) were given the vaccine, while the subjects in group 2
(the control group) were given a placebo. Of the 100,000 children in the experimental
group, 15 developed the disease. Of the 100,000 children in the control group, 50
developed the disease. Complete parts (a) through (f) below.
"*"\ :')
-4)
B. The sample size is more than 5% of the population size for each sample.
C. The data come from a population that is normally distributed.
D. The samples are dependent.
E. The samples are independent.
F. The sample size is less than 5% of the population size for each sample.
<.<\
Identify the null and alternative hypotheses for this test. Let p₁ represent the population
proportion of children given the vaccine who developed the disease and p2 represent the
population proportion of children given a placebo who developed the disease.
Ho: P1
= P₂
H₁: P₁ < P2
Find the test statistic for this hypothesis test.
(Round to two decimal places as needed.)
Transcribed Image Text:A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical trials, 200,000 children were randomly divided in two groups. The subjects in group 1 (the experimental group) were given the vaccine, while the subjects in group 2 (the control group) were given a placebo. Of the 100,000 children in the experimental group, 15 developed the disease. Of the 100,000 children in the control group, 50 developed the disease. Complete parts (a) through (f) below. "*"\ :') -4) B. The sample size is more than 5% of the population size for each sample. C. The data come from a population that is normally distributed. D. The samples are dependent. E. The samples are independent. F. The sample size is less than 5% of the population size for each sample. <.<\ Identify the null and alternative hypotheses for this test. Let p₁ represent the population proportion of children given the vaccine who developed the disease and p2 represent the population proportion of children given a placebo who developed the disease. Ho: P1 = P₂ H₁: P₁ < P2 Find the test statistic for this hypothesis test. (Round to two decimal places as needed.)
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