1. A wholesaler has recently developed a computerized sales invoicing system. Prior to implementing this system, a manual system was used. The distribution of the number of errors per invoice for the manual system is as follows: Errors per invoice 0 2 3 More than 3 Percentage of invoices 87% 8% 3% 1% 1% After implementation of the computerized system, a random sample of 500 invoices gives the following error distribution: Errors per invoice 0 2 More than 3 Number of invoices 479 10 8 Circle one. Are these data: Measurements. Counts Conduct a formal hypothesis test to determine whether the error percentages for the computerized system differ from those for the manual system at the 0.05 level I Hypotheses: Ho: HA: II. Decision Rule: a = df = Draw and label the rejection region(s) below. State the decision rule below. III. Calculate expected frequency assuming HO is correct IV. Calculate test statistic: V. Conclusion (use complete sentence): VI. Implication (use complete sentence): 2. According to the Centers for Disease Control, the leading causes of death in the United States in the last decade are: Heart disease 24% Cancer 23% Diseases of the brain's blood vessels, 7% Chronic lower respiratory diseases 5% Accidental injuries 4% Other 37% Megapolis Hospital studied 300 records of their patients who died within the last 5 years and found the following counts: Heart disease 79 Cancer 65 Diseases of the brain's blood vessels 14 Chronic lower respiratory diseases 26 Accidental injuries 11 Other 105 I Hypotheses: Ho: HA: IL Decision Rule: df = Draw and label the rejection region(s) below. State the decision rule below. III Calculate expected frequency assuming HO is correct IV. Calculate test statistic: V. Conclusion (use complete sentence): VI. Implication (use complete sentence):Problem I. Collecting data for eight games, a basketball coach has compiled the following contingency table for the quarter of the game versus the result of "one-and-one" free-throw attempts in which a second shot can be attempted if the first one is made. a. At the 0.025 level, can the coach conclude that the quarter of the game affects the free-throw opportunity? Observed #s Quarter 1 Quarter 2 Quarter 3 Quarter 4 Total 0 Points Scored 12 10 16 44 1 Point Scored 20 16 20 24 80 2 Points Scored 26 24 10 16 76 Total 52 52 40 56 200 Find expected frequency under null hypothesis Expected #s Quarter 1 Quarter 2 Quarter 3 Quarter 4 0 Points Scored 11.44 1 Point Scored 2 Points Scored Chi-Sq ContribsdQuarter 1 Quarter 2 Quarter 3 Quarter 4 Total 0 Points Scored 1 Point Scored 2 Points Scored I. Hypotheses: Ho: HA: II. Decision Rule: a =? df = (r-1)(c-1)=? Draw and label the rejection region(s) below. State the decision rule below. III. Find Test Statistic: IV. Conclusion (Use a complete sentence.): V. Implication (Use a complete sentence.)