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, 24 developed the disease. Of the 100,000 children in the control group, 42 developed the disease. Complete parts (a) through (f) below. O c. The sample size is more than 5% of the population size for each sample. YD. The sample size is less than 5% of the population size for each sample. nPi (1-P1) 2 10 and ngP2 (1-P2) 2 10 YE. F. The samples are independent. 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. Ho: P1 P2 H1: P1 < P2 Find the test statistic for this hypothesis test. - 2.22 (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.) Enter vour answer in the answer box and then click Check Answer
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, 24 developed the disease. Of the 100,000 children in the control group, 42 developed the disease. Complete parts (a) through (f) below. O c. The sample size is more than 5% of the population size for each sample. YD. The sample size is less than 5% of the population size for each sample. nPi (1-P1) 2 10 and ngP2 (1-P2) 2 10 YE. F. The samples are independent. 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. Ho: P1 P2 H1: P1 < P2 Find the test statistic for this hypothesis test. - 2.22 (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.) Enter vour answer in the answer box and then click Check Answer
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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, 24 developed the disease. Of the 100,000 children in the control group, 42 developed the disease. Complete parts (a) through (f)
below.
O c. The sample size is more than 5% of the population size for each sample.
YD. The sample size is less than 5% of the population size for each sample.
nPi (1-P1) 2 10 and ngP2 (1-P2) 2 10
E.
F. The samples are independent.
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.
Ho: P1
P2
H1: P1 < P2
Find the test statistic for this hypothesis test.
- 2.22 (Round to two decimal places as needed.)
Determine the P-value for this hypothesis test.
(Round to three decimal places as needed.)
Enter vour answer in the answer box and then click Check Answer
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