In a large clinical trial, 392,327 children were randomly assigned to two groups. The treatment group consisted of 196,551 children given a vaccine for a certain disease, and 35 of those children developed the disease. The other 195,776 children were given a placebo, and 133 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below. 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? are equivalent, in that they will always lead to the same conclusion. Both of these methods use a standard deviation based on whereas the other method uses a standard deviation based on c. If a 0.01 significance level is to be used to test the claim that p,

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
icon
Related questions
Topic Video
Question
100%
2
In a large clinical trial, 392,327 children were randomly assigned to two groups. The treatment group consisted of 196,551
children given a vaccine for a certain disease, and 35 of those children developed the disease. The other 195,776 children were
given a placebo, and 133 of those children developed the disease. Consider the vaccine treatment group to be the first sample.
Complete parts (a) through (d) below.
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?
are equivalent, in that they will always lead to the same conclusion.
Both of these methods use a standard deviation based on
whereas the other method uses a standard deviation based on
c. If a 0.01 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: - 0.000655 < p, - P2< - 0.000347.
What does this confidence interval suggest about the claim?
Because the confidence interval
there
a significant
difference between the two proportions. Because the confidence interval consists
V it appears that the first proportion is
V the second proportion.
Enter your answer in the answer box.
?
40,713 APR
19
MacBook PrO
esc
Q Search securyBrowse
@
#
$
&
1
2
3
4
5
6
Q
W E
R
Transcribed Image Text:In a large clinical trial, 392,327 children were randomly assigned to two groups. The treatment group consisted of 196,551 children given a vaccine for a certain disease, and 35 of those children developed the disease. The other 195,776 children were given a placebo, and 133 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below. 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? are equivalent, in that they will always lead to the same conclusion. Both of these methods use a standard deviation based on whereas the other method uses a standard deviation based on c. If a 0.01 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: - 0.000655 < p, - P2< - 0.000347. What does this confidence interval suggest about the claim? Because the confidence interval there a significant difference between the two proportions. Because the confidence interval consists V it appears that the first proportion is V the second proportion. Enter your answer in the answer box. ? 40,713 APR 19 MacBook PrO esc Q Search securyBrowse @ # $ & 1 2 3 4 5 6 Q W E R
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax