Concept explainers
To find the two probabilities given in example 9.8
Explanation of Solution
Given:
n = 50
Population proportion = p = 0.5
Sample proportion =
Formula:
Calculation:
Null and alternative hypotheses:
Test statistic:
Therefore, P-value is,
Using excel formula, =NORMSDIST(3.11)
Hence, P-value = 0.0009
Decision: P-value < 0.05, Which is very close to zero. We reject null hypothesis.
It is extremely unlikely that the half of all coffee drinkers prefer fresh to instant coffee, because the probability is almost zero. From this result, it does not prove that more than half of all coffee drinkers prefer fresh to instant coffee, because it is still possible that exactly half of all coffee drinkers prefer fresh to instant coffee.
Chapter 9 Solutions
Statistics Through Applications
Additional Math Textbook Solutions
Statistics for Psychology
Elementary Statistics (13th Edition)
Elementary Statistics
STATS:DATA+MODELS-W/DVD
Elementary Statistics: Picturing the World (7th Edition)
An Introduction to Mathematical Statistics and Its Applications (6th 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