The table below summarizes the replies of 300 randomly selected university graduates who participated in a nationwide survey:

(a) Determine the expected numbers, assuming the degree of job satisfaction is independent of type of program taken at university (i.e. there is some association between degree of job satisfaction and the type of program). Fill your answers into the table above.

(b) Use the Chi-square test with α = 0:05 to test the hypothesis that the degree of job satisfaction depends on the type of program taken at university.

i) H₀:

H_a:

Observed Test Statistic (x² statistic):

ii) p-value (use x² table):

Decision with justification:

Conclusion in context:

Researchers at the University of Pennsylvania School of Medicine have determined that children under 2 years old who sleep with the lights on have a 33% chance of becoming myopic before they are 16. Children who sleep in darkness have a 22% probability of becoming myopic. A survey indicates that 26% of children under 2 sleep with some light on. Find the probability that a random child under 2 will become myopic before reaching 16 years old.

Given the following research topic, answer the question below: Are there differences in university GPA and persistence rates between who enrolled in first-year seminars compared to those who did not enroll in first-year seminars?

g. Consider the extraneous variable campus living arrangement. Describe how you could control this extraneous variable through homogeneous grouping.

h. Suggest one additional extraneous variable and one way to control it.

Assume that on September 1 Office Depot had an inventory that included a variety of calculators. The company uses a perpetual inventory system. During September these transactions occurred.

Sept. 6 Purchased calculators from Green Box Co. at a total cost of $1,620, terms n/30.

9 Paid freight of $50 on calculators purchased from Green Box Co.

10 Returned calculators to Green Box Co. for $38 credit because they did not meet specifications.

12 Sold calculators costing $520 for $780 to University Book Store, terms n/30.

14 Granted credit of $45 to University Book Store for the return of one calculator that was not ordered. The calculator cost $28.

20 Sold calculators costing $570 for $900 to Campus Card Shop, terms n/30.

Journalize the Septemper transactions?

Jones Company: Analyze the accounting equation for another business, Jones Company. Assume that the assets are $48,000 and the liabilities are $19,200. By rearranging the accounting equation, you determine that owner's equity is $28,000. During the year, the owner invested an additional $4,000 in the business. The company also paid off $2,500 of its debt. What would the accounting equation look like at the end of the year for Jones Company? Enter the updated amounts for Jones' accounting equation below.

CASE STUDY

Australian consumers are becoming ethically-minded and businesses are taking note

Businesses with a social conscience are on the rise. (Getty Images: Simon Jarratt/Corbis/VCG)

Charles Murgha is 36 and had never had a job until he got a carpentry apprenticeship a few years ago.

Soon he'll be a qualified tradesman, and will have helped build 29 homes in his Indigenous community of Yarrabah, not far from Cairns.

The town has a 45 per cent unemployment rate. Charles says boys stop by to watch him work, and ask him how they can also get a job building houses when they leave school.

Asked if that makes him proud, Charles eventually says, quietly: "Gives me goosebumps."

Charles was assisted in his apprenticeship not by government agencies but by Cairns-based construction and property development company Mihaven.

Mihaven, which doubles as a registered training provider, is one of a growing number of businesses — here in Australia, but also globally — seeking to show ethically-minded consumers that they're driven by more than profits.

Founded five years ago and run by former town planner Sarah Mort and her builder husband James, the company focuses on training and employment for Indigenous and other disadvantaged job-seekers.

Sarah and James Mort founded their property development company with social impact in mind. (ABC RN: Ann Arnold)

Twenty-five per cent of Mihaven's workforce is Indigenous, and Ms Mort says training staff go the extra mile to help trainees lock in work experience and job placements.

"We have persisted so hard. Door-knocked every single big box retailer in this town," she says.

"We used every single contact we have, every relationship we can lean on, to help people get jobs."

QUESTION

What criticisms of the company from your chosen case study could an advocate of the narrow view make and why? ( 350 words)

According to a recent National Association of Colleges and Employers (NACE) report, 44% of college students who had unpaid internships received full-time job offers post-graduation compared to 72% of college students who had paid internships. A recent survey of 60 college unpaid interns at a local university found that 30 received full-time job offers post-graduation.

a. Use the five-step p-value approach to hypothesis testing and a 0.05 level of significance to determine whether the proportion of college unpaid interns that received full-time job offers post-graduation is different from .44.

b. Assume that the study found that 35 of the 60 college unpaid interns had received full-time job offers post-graduations and repeat (a). Are the conclusions the same?

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. In a random sample of 66 professional actors, it was found that 41 were extroverts.

(a) Let p represent the proportion of all actors who are extroverts. Find a point estimate for p. (Round your answer to four decimal places.)

(b) Find a 95% confidence interval for p. (Round your answers to two decimal places.)

lower limit

upper limit

Give a brief interpretation of the meaning of the confidence interval you have found.

a. We are 95% confident that the true proportion of actors who are extroverts falls outside this interval.

b. We are 95% confident that the true proportion of actors who are extroverts falls within this interval.

c. We are 5% confident that the true proportion of actors who are extroverts falls above this interval.

d. We are 5% confident that the true proportion of actors who are extroverts falls within this interval.

(c) Do you think the conditions n·p > 5 and n·q > 5 are satisfied in this problem? Explain why this would be an important consideration.

a. Yes, the conditions are satisfied. This is important because it allows us to say that p̂ is approximately normal.

b. No, the conditions are not satisfied. This is important because it allows us to say that p̂ is approximately normal.

c. Yes, the conditions are satisfied. This is important because it allows us to say that p̂ is approximately binomial.

d. No, the conditions are not satisfied. This is important because it allows us to say that p̂ is approximately binomial.