You may need to use the appropriate appendix table or technology to answer this question. Suppose In 2018, RAND Corporation researchers found that 77% of all individuals ages 66 to 65 are adequately prepared financially for retirement, Many financial planners have expressed concern that a smaller percentage of those in this age group who did not complete high school are adequately prepared financially for retirement. (a) Develop appropriate hypotheses such that rejection of N, will support the conclusion that the proportion of those who are adequately prepared financially for retirement is smaller for people in the 66-69 age group who did not complete high school than it is for the population of the 66-69 year old. (Enter In for a as needed.} (b) In a random sample of 300 people from the 65-69 age group who did not complete high school, 159 were not prepared financially for retirement. What is the p- value for your hypothesis test? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = (c] At a = 0.01, what is your conclusion? Do not reject He. We conclude that the percentage of 66- to 69-year-old individuals who are adequately prepared financially for retirement is smaller for those who did not complete high school. Reject Ho. We conclude that the percentage of 66- to 69-year-old individuals who are adequately prepared financially for retirement is smaller for those who did not complete high school. Reject Ho. We cannot conclude that the percentage of 66- to 69-year-old individuals who are adequately prepared financially for retirement is smaller for those who did not complete high school. Do not reject H,. We cannot conclude that the percentage of 66- to 69-vear-old individuals who are adequately pranarad financially far vatican1. (15 points) For the exercises below, transform the regression equation Yi = 60 +81Xli +$2X2i +pi so that you can use a t-statistic to test for the following restrictions. Show all your steps for full credit. a. (5 points) B1 = 1262 b. (5 points) B1 - 82 = 2 a) If we assume normality of u, then we know the exact distribution of B1, a t student b) If we do not assume normality of u but n is large, then we approximate the sampling distribution 3 2. (15 points) Consider the following model to explain CEO salaries in terms of various factors: salary = 30 + Blsales + $2mktval + 83ceoten + u, where: salary = 1990 compensation, $1000s; sales = 1990 firm sales, millions; mktval = market value, end 1990, mills; ceoten = years as ceo with company Next you perform the following regression: * R2 = 0.2013, SER = 529.67 a) (5 pts) What does each estimated coefficient on the individual variables (and constant term) mean quantitatively (do not worry about standard errors, as they are not given, or the measures of fit)? b) (5 pts) What is the forecasted salary of a CEO working in a firm with sales equal to 5,000 millions, market value equal to 10,000 millions, and 10 years of tenure? c) (5 pts) Eliminating the variable sales from your regression, the estimation regression becomes:" salary = 613.436 + .019sales + .023mktval + 12.703ceoten + u salary = 641.059 + .0369mktval + 11.525ceoten + u R2 = 0.184, SER = 533.58 Why do you think that the effect of mktval has changed now over part b. (very briefly describe)?(a) First consider an economy where the government budget is required to be balanced in recession. The economy is given by: Czcu+c1(YT) T=t+t1Y I=I_ G=T With{61{1,{t1{1 i. Derive an expression for Equilibrium output. ii. Suppose for that for some reason demand were to fall, so that en were to decrease. We are interested in by how much output would fall due to this decline in ca. Derive an expression for the decrease in y do to a decrease in Ca. (b) Now ippose that the economy is the same as above except that G = G, La. that G is constant, and the government budget is not required to be balanced in recession. i. Derive an expression for equilibrium output. ii. Derive an expression for the decrease in 3,; due to a decrease in [30. (c) Interpretation: i. Based on the expressions you derived in aii and bii, would the same decline in g cause a larger decline in the economy with a balanced budget requirement, or the economy in which the government was not required to run a balanced budget? ii. In economy a, the govermnent's budget remains balanced after the decline in output, i.e. that (T G) = 0. Suppose that in economy I: the government's budget was balanced before the decline in output. What happens to the government's budget after the decline in gutput; is it still balanced, in surplus, or decrt? 1.e (T G) 2: [1? iii. How do you think the condition of the government's budget af fects how the economy responds to a decline in demand in the two eoonomies above? How does the answer to part cii concern- ing the state of the government's budget relate to your answer in part ci concerning which economy would experience a. larger decline in output given the same fall in ca? Font Select . Paragraph Styles Editing Graph the following scenario. (Hint: the graph setup in question #8 is a good framework) For a real world example, consider the market for oil. The initial supply and demand curves would be at position 1 (p1). When the suppliers decide to collaborate and supply less oil for every price, this causes a backwards shift in the supply curve, to supply curve 2. This cuts the quantity supplied from quantity 1 (q1) to quantity 2 (q2] and raises the price paid for oil along demand curve 1. We can either shift the demand curve in to curve 2, maintaining previous price levels, but decreasing consumption even more, or we can shift our demand curve out to curve 3, maintaining previous levels of consumption but raising prices. Since there is a tradeoff between having steady prices or steady consumption, the consumers have to make a decision about which is more important to them. In the short run, they will probably decide to pay the higher prices to keep consumption steady (that is, they will shift out to curve 3), but if the prices stay high for a long time, they will start finding ways to economize, (thereby shifting in to curve 2]. 10. What terms are being defined? a. Situation in which the quantity supplied exceeds the quantity demanded for a good or service; price is above equilibrium price. Additional income derived from each additional unit of goods sold. Total Variable Costs divided by quantity sold, TVC/q- Total Fixed Costs divided by quantity sold, TFC/q. To maximize utility by making the most effective use of available resources, whether they be money, goods, or other factors. Costs which do not vary with quantity produced that a firm has to pay in order to produce and sell its goods. Total revenue