In a large clinical trial, 399,342 children were randomly assigned to two groups. The treatment group consisted of 201,406 children given a vaccine for a certain disease, and 27 of those children developed the disease. The othe children were given a placebo, and 93 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 0.01 significance level will be used to test the claim that p,
In a large clinical trial, 399,342 children were randomly assigned to two groups. The treatment group consisted of 201,406 children given a vaccine for a certain disease, and 27 of those children developed the disease. The othe children were given a placebo, and 93 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 0.01 significance level will be used to test the claim that p,
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:### Transcript for Educational Website
In a large clinical trial, 399,342 children were randomly assigned to two groups. The treatment group consisted of 201,406 children given a vaccine for a certain disease, and 27 of those children developed the disease. The other 197,936 children were given a placebo, and 93 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (c) below.
**a.** Assume that a 0.01 significance level will be used to test the claim that \( p_1 < p_2 \). Which is better: A hypothesis test or a confidence interval?
- **A hypothesis test** 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?
- **P-value method and 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 the assumption that the two population proportions are equal, whereas the other method uses a standard deviation based on estimated values of the population proportions.
**c.** If a 0.01 significance level is to be used to test the claim that \( p_1 < p_2 \), what confidence level should be used?
- **99%** (Type an integer or a decimal.)
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps

Similar questions
Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman