For Problems 7–21, please provide the following information.
- (a) What is the level of significance? State the null and alternate hypotheses.
- (b) Check Requirements What sampling distribution will you use? Do you think the sample size is sufficiently large? Explain. Compute the value of the sample test statistic and corresponding z value.
- (c) Find the P-value of the test statistic. Sketch the sampling distribution and show the area corresponding to the P-value.
- (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?
- (e) Interpret your conclusion in the context of the application.
13. Wildlife: Wolves The following is based on information from The Wolf in the Southwest: The Making of an Endangered Species by David E. Brown (University of Arizona Press). Before 1918, the proportion of female wolves in the general population of all southwestern wolves was about 50%. However, after 1918, southwestern cattle ranchers began a widespread effort to destroy wolves. In a recent sample of 34 wolves, there were only 10 females. One theory is that male wolves tend to return sooner than females to their old territories where their predecessors were exterminated. Do these data indicate that the population proportion of female wolves is now less than 50% in the region? Use α = 0.01.
Want to see the full answer?
Check out a sample textbook solutionChapter 8 Solutions
Understandable Statistics: Concepts and Methods
- You have a population of 100 engineering students at a certain university and you want to interview only a sample to see if they agree that the average ticket for graduation costs $ 3,000. What should be the minimum sample size that meets a standard error of 0.05 and a reliability of 95%?arrow_forwardConsider the sampling distribution of the sample means created from this population for samples of size 200. What would you expect the shape of this distribution to be?arrow_forwardNeed answers for these questions . Using the Chi-square statistical tablearrow_forward
- What will happen to the sample size if the percentage error becomes lower? Can you explain to me how the sample will best represent the population?arrow_forwardSuppose you know the population mean and are interested in seeing how a sample average compares to this mean. You take some samples of size 10 and other samples of size 35. How will the sampling distribution of the means be different for the larger size samples compared to the sampling distribution of the means for the smaller size samples?arrow_forwardQUESTION 1 Suppose that a survey was commissioned by the Ministry of Finance in order to determine the income of local vendors as part of their project aimed at investigating the feasibility of the presumptive tax. A sample of 26 local vendors was selected and their sample mean monthly income and variance was found to be $ 7 600 and $1 250 ($ squared), respectively. a) A representative of the local vendors argues that the local vendors‘ average monthly income is not more than $ 7 500. Conduct a hypothesis test at a 2.5% level of significance to determine the validity of the claim made by the local vendors’ representative? b) If the hypothesis test in (a) was to be conducted at a level of significance greater than 2.5%, what will be the conclusion? c) Explain the reasons for hypothesis testing using a practical example?arrow_forward
- 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