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, 18 developed the disease. Of the 100,000 children in the control group, 34 developed the disease. Complete parts (a) through (f) below. E PI(1-P1J 2 10 anu nzp21- P2] 210 O C. The samples are dependent. D. The sample size is less than 5% of the population size for each sample. O E. The sample size is more than 5% of the population size for each sample. O F. The data come from a population that is normally distributed. Identify the null and alternative hypotheses for this test. Let p, 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. Họ: P1 = P2 H: P1 < P2 Find the test statistic for this hypothesis test. (Round to two decimal places as needed.)

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Can you help me determine the test statistic, the P-value, and the conclusion for this hypothesis test?

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, 18 developed the disease. Of the 100,000 children in the control group, 34 developed the
disease. Complete parts (a) through (f) below.
IP1(1-P1) 2 10 anu izp2|1- P2) ²10
O C. The samples are dependent.
YD. The sample size is less than 5% of the population size for each sample.
O E. The sample size is more than 5% of the population size for each sample.
O F. The data come from a population that is normally distributed.
Identify the null and alternative hypotheses for this test. Let pi 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, 18 developed the disease. Of the 100,000 children in the control group, 34 developed the disease. Complete parts (a) through (f) below. IP1(1-P1) 2 10 anu izp2|1- P2) ²10 O C. The samples are dependent. YD. The sample size is less than 5% of the population size for each sample. O E. The sample size is more than 5% of the population size for each sample. O F. The data come from a population that is normally distributed. Identify the null and alternative hypotheses for this test. Let pi 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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