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WCU ECO 252 - ECO 252 Graded Assignment 2

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252grass2-052 (Corrected!) 10/4/05 (Open this document in 'Page Layout' view!)Name: Class days and time:Student Number:Please include class and student number on what you hand in! You will not get credit for this assignment (or any other) unless you fill out the appended statement.Graded Assignment 21. Which of the following could be null hypotheses? Which could be an alternate hypothesis? Which couldbe neither? Why? If it is 0H, what is 1H? If it is 1H, what is 0H? (i),85.p (ii),213p (iii) 25.p (iv),5.0x (v),7(vi),5s (vii),5(viii) ,5(ix)5, (x)37.0p. 2. Make sure that I know what formulas you are using.A doctor asserts that her average patient gets less than 5 hours of exercise a week. A sample of 10 appears below. Personalize the data as follows. Take the second to last digit of your student number. If that numberis k, subtract 0.5 from kx. If the number is zero, do not change the data. For example Seymour Butz’s student number is 101321, so he changes 2x to 3.5. Use a 10% significance level. Is the doctor right?1x 2x 3x 4x 5x 6x 7x 8x 9x 10x6.5 4.0 4.0 2.5 4.5 8.5 2.0 5.0 1.5 9.5a) State your null and alternative hypotheses.b) Find critical values for the sample mean and test the hypothesis.c) Find a confidence interval for the population mean and test the hypothesis.d) Use a test ratio for a test of the meane) Find an approximate p-value for the test ratio using the ttable and use the p-value to test thehypothesis.f) Suppose that the null hypothesis was 5:0H. If p is the proportion of numbers above 5,what is the null hypothesis involving p that you actually use? (Extra credit: find a p-value for the null hypothesis and explain why you reject or do not reject the null hypothesis at the 10% level.)3. Assume, in problem 2, that the population standard deviation was 1 hour. State the test ratio and find itsp-value. Using this p-value, would we reject the null hypothesis a) If the significance level is 1%, b) If the significance level is 5% and c) If the significance level is 10%?4. According to USA today only 5% of workers make more than 1000 copies a week. To test that statement, you look at a sample of 150 workers and find that 12 made more than 1000 copies last week. Is this result significantly different from the result reported by USA today? a) State your null and alternative hypotheses.b) Find a test ratio for a test of the proportionc) Find a p-value for the test ratio and use the p-value to test the hypothesis at the 1% significance level.d) Restate the problem as a the one sided hypothesis that the proportion is less than 5%, find a p-value for the null hypothesis and use it to test your hypothesis at a 1% significance level.252grass2-052 9/28/05 5. (Extra credit)a) Finish 4 by testing the original hypothesis using a critical value for the proportion and an appropriate confidence interval.b) Were we reasonable assuming that 1 in question 3? Use the sample standard deviation that you found in question 3 to test this using a test ratio and a confidence interval.c) Use Minitab to do this problem. In column 1 put 12 yeses and 138 noes in any order so that you fill 150 lines. (You only need a ‘y’ for yes and an ‘n’ for no.) You may give column 1 a name and use the name in single quotes in place of c1. Remember that all multiline commands must end with a period. ‘Pone’ is the command for a 1-sample test of a proportion.Do the problem four different ways as follows.Pone c1;Conf 99.0;Test 0.05;Usez.Pone c1;Conf 99.0;Test 0.05.Pone 150 12;Conf 99.0;Test 0.05;Usez.Pone 150 12;Conf 99.0;Test 0.05.Compare the results to the results you got by working by hand. Which ones are closest? What is the difference between what the four instruction sets do? Can you use the Stat < Basic Statistics<1 proportion pull-down menu with options to get the same results?2Course Title: ECO252 Instructor: Roger Even Bove, Ph.D. Fall, 2005I, _____________________________, have read the syllabus and fully understand the academicdishonesty policy as described herein and by the University. As defined in the 2004-2006 UndergraduateCatalog of West Chester University, “academic dishonesty … includes but is not limited to academiccheating; plagiarism; the sale, purchase, or exchange of term papers orresearch papers; falsification of information which includes any formof providing false or misleading information, written, electronic, ororal; or of altering of falsifying official institutional records.Plagiarism is defined as copying another’s work or portions thereofand/or using ideas and concepts of another and presenting them asone’s own without giving proper credit to the source.” (p. 46)I understand that the penalty for engaging in academic dishonesty and/or plagiarism may be expulsionfrom the business program and/or University. I further understand that it is my responsibility to make sureI understand how to correctly document the words and ideas of others. Ignorance is not a legitimatedefense for plagiarism.It is our belief that honesty is the foundation of moral and ethical behavior. Individuals who lead anhonest life enhance the lives of themselves, their families, and their neighbors. By maintaining one’sintegrity, one gains the respect of others which is its own reward. __________________________________Print your name__________________________________Signature,


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