QUESTION 1 In Hypothesis Testing, the p-value gives us the probability of .. .the null hypothesis is not rejected when the null hypothesis is true. ..the null hypothesis is rejected when the null hypothesis is true. .the null hypothesis is rejected when the alternative hypothesis is true. ..the null hypothesis is not rejected when the alternative hypothesis is true QUESTION 2 The SEC requires companies to file annual reports concerning their financial status. It is impossible to audit every account receivable. Suppose an auditor audits a random sample of 25 accounts receivable invoices and finds a sample average of $142 and a sample standard deviation of $30. Calculate a 95% confidence interval for the mean size of an accounts receivable invoice. (does not have to be exact) O 142 + 2 * 30 O 142 + 2 * (30/V/25) O 142 + 3 * (30/V/25) O 142 + 2.06 * 30 QUESTION 3 The SEC requires companies to file annual reports concerning their financial status. It is impossible to audit every account receivable. Suppose an auditor audits a random sample of 25 accounts receivable invoices and finds a sample average of $142 and a sample standard deviation of $30. Part b) For the answer in part a to be correct, the sizes of the accounts receivable invoices must be normally distributed? True O FalseQUESTION 4 1 points (Extra Credit) Save Answer The SEC requires companies to file annual reports concerning their financial status. It is impossible to audit every account receivable. Suppose an auditor audits a random sample of 25 accounts receivable invoices and finds a sample average of $142 and a sample standard deviation of $30. Part c) How large a sample (approximately) is required for you to be 95%% sure that the estimate of the mean invoice size is accurate within about $10 ( the entire confidence interval length, from the lower limit to the upper limit)? O around 250 O around 145 O around 180 O around 50 QUESTION 5 3 points Save Answer The manager claims that the defective item proportion has decreased from its normal value of 0.039%. To test his claim, you obtain a random sample of 300 items produced by this process and run the appropriate statistical method. The test indicates a p-value of 0.01. What are the null and the alternative hypotheses to test the manager's claim? What exactly the p-vaue is telling you? At what levels of significance (or confidence level) can you reject the null hypothesis. Please write in a clear and concise manner. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Open Sans,sa... v 10pt V Ev EV AV AV I X D B Q 5 . BE 3 ... O WORDS POWERED BY TINY QUESTION 6 2 points Save Answer Suppose that you are the state superintendent of a state's public schools. You want to know whether decreasing the class sizes in elementary schools will improve student performance. Explain how you would set up a test to determine whether decreased class size improves student performance. What hypotheses would you use in this experiment? Please clearly state your null and alternative hypotheses and clearly explain which methodology you would use. (This was actually done and smaller class size did help, particularly with minority students.) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).QUESTION 7 The file contains data on 400 orders placed to company A over a period of several months. For each order, the file lists, along with other variables, the type of credit card used, and the gender of the customer. Suppose you decide to use the chi-square test to see if there is any relationship between gender and the type of credit cards being used. You set up the contingency table as given below. What would be the null hypothesis of the test? (The credit card type data is collected as company card" vs "other cards") Count CardType Gender Company Card Other Grand Total Female 61 173 234 Male 33 13E 166 Grand Total 94 306 400 O Women use company cards more than men O Gender and credit card type are unrelated O Gender and credit card type are dependent O Women shop more than men QUESTION 8 The table and output below shows the responses from a sample of 680 people in the General Social Survey to the question, "Do you sometimes drink more than you think you should?" ENDER YES NO TOTAL MALE 119 200 32 FEMALE 12 237 352 TOTAL 243 437 680 What is conclusion for the above test if the output is given as below: x2 - test x2 statistic = 1.12 of = 1 p-value = 0.29 O Reject the relationship between self-consumption of alcohol and gender. O Reject the null hypothesis Ho : Men and women's answers to the question "Do you sometimes drink more than you think you should? is the same. O Fail to reject that gender and one's self-perception of over-drinking are unrelated. O Reject that men drink more than they should and women drink less than they should