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Help with finding: test statistic p Value  reject null hypothesis

Help with finding: test statistic p Value  reject null hypothesis

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Help with finding:

  • test statistic
  • p Value 
  • reject null hypothesis
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, 16 developed the disease. Of the 100,000 children in the control group, 37 developed the disease. Complete parts (a) through (f) below. .... B. The number of subjects is so large because the vaccine is very effective. C. The number of subjects is so large because a large sample size is needed to ensure that the samples are independent. D. The number of subjects is so large because there is a low incidence rate of the disease. E. The number of subjects is so large because the vaccine is not very effective. (f) Does it appear to be the case that the vaccine was effective? Use the a = 0.05 level of significance. First verify the model requirements. Select all that apply. A. The sample size is more than 5% of the population size for each sample. B. The data come from a population that is normally distributed. C. The samples are dependent. D. The samples are independent. YE. n,ôi (6.) 2 10 and ny2 (1-P2) 10 1 - 1 - 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 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 Hq:P1 < P2 Find the test statistic for this hypothesis test.
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, 16 developed the disease. Of the 100,000 children in the control group, 37 developed the disease. Complete parts (a) through (f) below. .... B. The number of subjects is so large because the vaccine is very effective. C. The number of subjects is so large because a large sample size is needed to ensure that the samples are independent. D. The number of subjects is so large because there is a low incidence rate of the disease. E. The number of subjects is so large because the vaccine is not very effective. (f) Does it appear to be the case that the vaccine was effective? Use the a = 0.05 level of significance. First verify the model requirements. Select all that apply. A. The sample size is more than 5% of the population size for each sample. B. The data come from a population that is normally distributed. C. The samples are dependent. D. The samples are independent. YE. n,ôi (6.) 2 10 and ny2 (1-P2) 10 1 - 1 - 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 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 Hq:P1 < P2 Find the test statistic for this hypothesis test.
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