In a large clinical trial, 394,521 children were randomly assigned to two groups. The treatment group consisted of 198,315 children given a vaccine for a certain diseas and 40 of those children developed the disease. The other 196,206 children were given a placebo, and 138 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below. a. Assume that a 0.10 significance level will be used to test the claim that p,
In a large clinical trial, 394,521 children were randomly assigned to two groups. The treatment group consisted of 198,315 children given a vaccine for a certain diseas and 40 of those children developed the disease. The other 196,206 children were given a placebo, and 138 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below. a. Assume that a 0.10 significance level will be used to test the claim that p,
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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Transcribed Image Text:In a large clinical trial, 394,521 children were randomly assigned to two groups. The treatment group consisted of 198,315 children given a vaccine for a certain disease,
and 40 of those children developed the disease. The other 196 206 children were given a placebo, and 138 of those children developed the disease. Consider the
vaccine treatment group to be the first sample. Complete parts (a) through (d) below.
a. Assume that a 0.10 significance level will be used to test the claim that p, <p2. Which is better: A hypothesis test or a confidence interval?
is better
b. In general, when dealing with inferences for two population proportions, which two of the following are equivalent confidence interval method, P-value method;
critical value method?
V are equivalent, in that they will always lead to the same conclusion. Both of these methods use a standard
deviation based on
V whereas the other method uses a standard deviation based on
c. If a 0.10 significance level is to be used to test the claim that p, <P2, what confidence level should be used?
(Type an integer or a decimal.)
d. If the claim in part (c) is tested using this sample data, we get this confidence interval.
0.000589 <p, -P2 < - 0.000415. What does this confidence interval
suggest about the claim?
Because the confidence interval
there
V a significant difference between the two
proportions. Because the confidence interval consists
it appears that the first proportion
is
V the second proportion. There is
evidence to support the claim that the rate of polio is less for children given the
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