Concept explainers
(a)
To write an appropriate hypotheses.
(a)
Answer to Problem 26RE
Explanation of Solution
It is given in the question that in
Thus, the given claim is that the proportion is not reduced to
(b)
To verify that the appropriate assumptions are satisfied.
(b)
Answer to Problem 26RE
All the conditions are satisfied.
Explanation of Solution
It is given in the question that in
Thus, let us check the conditions and assumptions necessary for inference as:
Random condition: It is satisfied as the exercise prompt states that the sample was randomly selected from the population.
Independent condition: It is satisfied as we can assume that the sample is independent.
Success/failure condition: It is satisfied because both are greater than ten as,
Thus, all the conditions are satisfied.
(c)
To find the P-value of this test.
(c)
Answer to Problem 26RE
Explanation of Solution
It is given in the question that in
Thus, to find out the value of test statistics we have,
Thus, the P-value is the probability of obtaining the value of the test statistics or a value more extreme when the null hypothesis is true. So, we have using the normal probability table in the appendix that:
(d)
To explain what the P-value means in this context.
(d)
Explanation of Solution
It is given in the question that in
Thus, the P-value is the probability of obtaining the value of the test statistics or a value more extreme when the null hypothesis is true. So, we have using the normal probability table in the appendix that:
Thus, there is a
(e)
To state an appropriate conclusion.
(e)
Explanation of Solution
It is given in the question that in
Thus, the P-value is the probability of obtaining the value of the test statistics or a value more extreme when the null hypothesis is true. So, we have using the normal probability table in the appendix that:
We know that if the P-value is smaller than the significance level than reject the null hypothesis, then.
Thus there is sufficient evidence to support the claim that progress toward the goal of
(f)
To find out which kind of error did you commit if your conclusion may be incorrect.
(f)
Answer to Problem 26RE
It is Type II error.
Explanation of Solution
It is given in the question that in
As we know that Type I error is when we reject the null hypothesis if the null hypothesis is true. And Type II error is when we fail to reject the null hypothesis if the null hypothesis is false. So, in this case, since we failed to reject the null hypothesis it is possible that we make a Type II error.
Chapter PV Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
Additional Math Textbook Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Statistical Reasoning for Everyday Life (5th Edition)
Statistics for Business and Economics (13th Edition)
Elementary Statistics: Picturing the World (7th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
Essentials of Statistics, Books a la Carte Edition (5th Edition)
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman