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 vaticanQ1 Perfect Bayesian Equilibrium You are considering a leveraged buyout of Corporation X. The stock of X is worth either a low (1.) value, 51 = $3/share, or a high (H) value, Sy = $5/share. The owner of the company (the seller) knows what the company is worth, and decides whether to put up the company for sale at a high (H) price per share Py = $4/share or at a low (L.) price per share P, = $2.5/share for 20 thousand shares outstanding. All you know is that the probability that the company is worth 5, = $5/share is p(H) = 60% It costs management $40,000 to cook the books if it has to make the company look better that it really is. If the company does not trade hands, the seller and the buyer get nothing from the exchange. Let t denote whether the company is of high or low value. Nature chooses the company's type, that H when S, = $5 share 53 L when S, = share The seller has to choose whether to sell the company at a high or low price, P given by $4 PH = share P . $2.5 share The buyer's strategy of whether to buy or not the company is given by b = [1 if buyer buys company 10 if buyer does NOT buy company The seller's payoff depends on whether the company is of high or low value, on the seller's sale price strategy and on the buyer's buying strategy, and on whether or not the seller cooks the books. The seller's payoff is then given by ITS (t, P. b) The buyer's payoff also depends on these strategies HA (t, PA.b) (a) Under what circumstances does the seller cook the books? (b) Calculate the seller's payoff under all possible circumstances the seller might face. For each one of the seller's payoffs specify and explain all the conditions leading to that payoff. For example, when Nature makes the company high value (t = H), the seller charges a high price (Py = 4) and the buyer bays the company (b = 1), the seller's payoff is given by my(t = H, Py = 4, b = 1). (Hint you must find eight different payoffs for the seller). (c) What is the value of the company to the buyer under the high (Vg ) and the low (Vy ) state of nature?83. The elements needed to prove a prima facie case of retaliation for engaging in a protected activity are (Circle all that apply) a. Plaintiff is a member of a protected class b. Plaintiff engaged in a protected activity c. Employer took tangible employment action against the plaintiff d. Employer's action was taken because of plaintiff's protected activity 84. An employee may sue his employer based on an employment relationship under which of the following possible theories? (Circle all that apply) a. An employment handbook created a contract b. The employer's action violated a public policy protecting Colorado employees c. The employee reported the employer's illegal conduct to a law enforcement agency d. The employer invaded the employee's privacy rights 85. Identify a important advantage of incorporation. 86. All partners in a limited liability partnership are liable for the professional malpractice of each partner. True or False? 87. The easiest business entity to form is the 88. A sale of real property includes both the land and 89. A person who finds mislaid property has no rights to keep the property. True or False? 90. A real estate purchaser of land would prefer a warranty deed over a quit claim deed because 91. A landowner has a duty to warn a person who enters his land of known dangers. True or False? 92. In Colorado, a hand-written and signed will is effective, even without witnesses. True or False? 93. Interference with the general public's use or enjoyment of public land is known as the tort of - 94. The four types of intellectual property are patent, trademark and trade name. 95. Patents must be both and non-obvious. 95. An author must register a creative work with the U.S. Copyright Office in order to obtain damages in a suit for copyright 97. A trade secret is protected from misappropriation as long as the formula, device, process or other business Information remains