Amarketing research consultant hired by coca-cola is interested in determining if the proportion of customers who prefer coke to other brands is over 50%. a random sample of 200 consumers was selected from the market under investigation, 55% favored coca-cola over other brands. additional information is presented below. sample proportion 0.55 test value 0.03518 z test statistic 1.4213 p-value 0.07761 the market consultant has decided on one-tailed test in order to find whether the proportion is actually greater than 50%. using a 5% significance level, can the marketing consultant conclude that the proportion of customers who prefer coca-cola exceeds 50%?

Suppose you win a small lottery and have the choice of two ways to be paid: you can accept the money in a lump sum or in a series of payments over time. if you pick the lump sum, you get $2,950 today. if you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today. 1) at an interest rate of 6% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 2) at an interest rate of 9% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 3) years after you win the lottery, a friend in another country calls to ask your advice. by wild coincidence, she has just won another lottery with the same payout schemes. she must make a quick decision about whether to collect her money under the lump sum or the payments over time. what is the best advice to give your friend? a) the lump sum is always better. b) the payments over time are always better. c) it will depend on the interest rate; advise her to get a calculator. d) none of these answers is good advice.