E 6 accounting gradu y. After asking the unethical task (eg measured each sub- hical request score resist the unethi- y with the unethi- - 86 scores follow: and check to see if this value falls within the 99% confidence inter val, parte 6.18 401(k) Participation rates. Namned for the section of the Internal Revenue Code that authorized them, 401(k) meanik plans permit employees to shift part of their before-tax salaries into investments such as mutual funds. One com- pany, concerned with what it believed was a low employee participation rate in its 401(k) plan, sampled 30 other companies with similar plans and asked for their 401(k) participation rates. The following rates (in percentages) were obtained mply score for the ants, using a 90% interval, part a. all similarly con Deated sampling) 80 76 81 77 82 80 85 60 80 7982 70 88 85 80 79 83 75 87 78 80 84 72 75 90 84 82 77 75 86 SECTION 8.3 . Confidence interval for a popul empre. dence ng- days Is. The research (relative to that had go their inferes to predict wants to pro 500 firm WHR pon- bing re- 2.2.1 ind con a Construct a 90% confidence interval for the meant participation rate for all companies that have 401(k) plans b. Interpret the interval in the context of this problem. c. What assumption is necessary to ensure the validity of this confidence interval? d. If the company that conducted the sample has a 71% participation rate, can it safely conclude that its rate is below the population mean rate for all companius with 401(k) plans? Explain. e. If in the data set the 60% had been 80%, how would the center and width of the confidence interval you con- structed in part a be affected? 6,19 Accounting and Machiavellianism. Refer to the Behavioral Research in Accounting (January 2008) study of Machiavellian traits in accountants, Exercise 133 (p. 28). Recall that Machiavellian describes negative character winnine duplicity, decep on he Applying the 6.21 Improving and Nation of 265 stu e- prove the in both these stu E 6 accounting gradu y. After asking the unethical task (eg measured each sub- hical request score resist the unethi- y with the unethi- - 86 scores follow: and check to see if this value falls within the 99% confidence inter val, parte 6.18 401(k) Participation rates. Namned for the section of the Internal Revenue Code that authorized them, 401(k) meanik plans permit employees to shift part of their before-tax salaries into investments such as mutual funds. One com- pany, concerned with what it believed was a low employee participation rate in its 401(k) plan, sampled 30 other companies with similar plans and asked for their 401(k) participation rates. The following rates (in percentages) were obtained mply score for the ants, using a 90% interval, part a. all similarly con Deated sampling) 80 76 81 77 82 80 85 60 80 7982 70 88 85 80 79 83 75 87 78 80 84 72 75 90 84 82 77 75 86 SECTION 8.3 . Confidence interval for a popul empre. dence ng- days Is. The research (relative to that had go their inferes to predict wants to pro 500 firm WHR pon- bing re- 2.2.1 ind con a Construct a 90% confidence interval for the meant participation rate for all companies that have 401(k) plans b. Interpret the interval in the context of this problem. c. What assumption is necessary to ensure the validity of this confidence interval? d. If the company that conducted the sample has a 71% participation rate, can it safely conclude that its rate is below the population mean rate for all companius with 401(k) plans? Explain. e. If in the data set the 60% had been 80%, how would the center and width of the confidence interval you con- structed in part a be affected? 6,19 Accounting and Machiavellianism. Refer to the Behavioral Research in Accounting (January 2008) study of Machiavellian traits in accountants, Exercise 133 (p. 28). Recall that Machiavellian describes negative character winnine duplicity, decep on he Applying the 6.21 Improving and Nation of 265 stu e- prove the in both these stu