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 2 1 Which of the following could be null hypotheses Which could be an alternate hypothesis Which could be neither Why If it is H 0 what is H 1 If it is H 1 what is H 0 i p 85 ii p 213 iii p 25 iv x 0 5 v 7 vi s 5 vii 5 viii 5 ix 5 x p 0 37 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 number is k subtract 0 5 from xk If the number is zero do not change the data For example Seymour Butz s student number is 101321 so he changes x2 to 3 5 Use a 10 significance level Is the doctor right x1 6 5 x2 4 0 x3 4 0 x4 2 5 4 5 x5 8 5 x6 2 0 x7 5 0 x8 1 5 x9 x10 9 5 a 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 mean e Find an approximate p value for the test ratio using the t table and use the p value to test the hypothesis f Suppose that the null hypothesis was H 0 5 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 its p 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 proportion c 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 pvalue 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 2 Course Title ECO252 Instructor Roger Even Bove Ph D Fall 2005 I have read the syllabus and fully understand the academic dishonesty policy as described herein and by the University As defined in the 2004 2006 Undergraduate Catalog of West Chester University academic dishonesty includes but is not limited to academic cheating plagiarism the sale purchase or exchange of term papers or research papers falsification of information which includes any form of providing false or misleading information written electronic or oral or of altering of falsifying official institutional records Plagiarism is defined as copying another s work or portions thereof and or using ideas and concepts of another and presenting them as one 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 expulsion from the business program and or University I further understand that it is my responsibility to make sure I understand how to correctly document the words and ideas of others Ignorance is not a legitimate defense for plagiarism It is our belief that honesty is the foundation of moral and ethical behavior Individuals who lead an honest life enhance the lives of themselves their families and their neighbors By maintaining one s integrity one gains the respect of others which is its own reward Print your name Signature date 3
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