Master of Professional Accounting
MA504 Quantitative Methods
Trimester Three 2014
Assessment 3-Assignment
Due date: 24th February 2015 (by 4pm)
Total Marks: 30
Instructions:
1. This assignment consists of 4 questions.
2. The test paper totals 30 marks to be converted to 25% of the overall marks in this unit.
3. This is an individual assignment
1. In March 2005, the Australian government announced that an extra 450 troops would be sent to Iraq. A special Morgan poll was conducted to evaluate public opinion on Australias military presence in Iraq in the middle of March 2005 using an Australia-wide representative sample. It was found that 0.85% of the respondents did not approve the decision to send 450 extra troops to Iraq. Of the respondents who are Liberal party voters, 0.18% approved the decision to send an extra 450 troops to Iraq. Assume that, of the people surveyed, 0.84% were not Liberal party voters. One Australian is selected randomly.
a. Prepare a tree diagram to solve this problem. (5 marks)
b. What is the probability that the person is a Liberal party voter? (1 mark)
c. What is the probability that the person is not a Liberal party voter and approves the decision to send an extra 450 troops to Iraq? (2 marks)
d. If the person selected approves the decision to send an extra 450 troops to Iraq, what is the probability the person is a Liberal party voter? (1 mark)
e. What is the probability that the person is not a Liberal party voter or disapproves the decision to send an extra 450 troops to Iraq? (2 marks)
2. In an alcohol consumption study, 1500 randomly selected households were found to have a mean alcohol consumption of 78115 litres per year and a standard deviation of 2347.5 litres. Past studies show that the alcohol consumption in Australia is normally distributed with a standard deviation of 80,000 litres per year. Construct the 90% confidence interval for the population mean alcohol consumption. Clearly identify.0/msohtmlclip1/01/clip_image002.gif”>,n, sand Ein your workings.
(4 marks)
CASE STUDY 1.docx#_ftn1″ title=””>[1]
ALCOHOL CONSUMPTION
Alcohol, though widely used and enjoyed in Australian society, is a depressant drug. In low quantities it causes people to become less inhibited, in higher doses it can cause unconsciousness and even death. It is thought that low to moderate alcohol consumption may offer some protective health effects. However, high alcohol consumption increases the risk of heart, stroke and vascular diseases, liver cirrhosis and some cancers. It also contributes to disability and death through accidents, violence, suicide and homicide (WHO 2004).
Alcohol dependence and harmful use was ranked 17th in the 20 leading causes of burden of disease and injury for Australia in 2003, and harm from alcohol was estimated to be the cause of 5.5% of the burden of disease for males and 2.2% for females (AIHW2006a).
AGE AND SEX
· In 2004-05, 15% of adult males and 12% of adult females reported drinking at a risky/high risk level, while 55% of males and 43% of females reported drinking at a low risk level.
· The increase in those drinking at a risky/high risk level since 1995 has been greater for women than men. From the three surveys since 1995, the proportion of females who drank at a risky/high risk level increased from 6.2% to 11.7%, while for males the increase was from 10.3% to 15.2%, after adjusting for age differences.
· The proportions of males and females drinking at risky and high risk levels were highest in the middle age groups and this proportion has increased over time.
· In 2004-05, 18% of males aged 45-54 years were risky/high risk level drinkers. This compares to 15% in 2001 and 12% in 1995.
· In 2004-05, 13% of females aged 45-54 years were risky/high risk level drinkers. This compares to 10% in 2001 and 6.7% in 1995.
