1) Past research indicates that 64% of U.S. voters oppose capital punishment. A pollster wishes to estimate the current proportion of U.S. voters who oppose capital punishment to see if the percentage has changed.

a)How many voters should be surveyed in order to be 95% confident that the true proportion is estimated to within 4%?b)Suppose they ignore the sample size found in part (a) and decide to select a random sample of 500 voters and find that 335 of them oppose capital punishment. Find and interpret a 95% confidence interval for the true percentage of U.S. voters who oppose capital punishment. Be sure to check the conditions and write them down!

c) Should the pollsters conclude that the percentage of current voters who oppose capital punishment has changed? Explain

Suppose that the national average for the math portion of the College Board's SAT is 531. The College Board periodically rescales the test scores such that the standard deviation is approximately 100. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores. If required, round your answers to two decimal places.

(a) What percentage of students have an SAT math score greater than 631?

(b) What percentage of students have an SAT math score greater than 731?

(c) What percentage of students have an SAT math score between 431 and 531?

(d) What is the z-score for student with an SAT math score of 630?

(e) What is the z-score for a student with an SAT math score of 395?

A twelve-year corporate bond has a coupon rate of 9%, a face value of $1,000, and a yield to maturity of 11%. Assume annual interest payments. (i) (2 pts) What is the current price? (ii) (3 pts) What is the duration (Macaulay’s)? (iii) (2 pts) Compare this bond to a eight-year zero coupon bond. Which has more interest-rate risk (which bond price changes more given a 1 percentage point change in the interest rate)? (iv) (2 pts) Using duration, what is the change in price of the bond if there was a parallel shift in interest rates and rates rose 3 percentage points? (v) (2 pts) What is the true current price if interest rates rose 3 percentage points? (vi) (2 pts) Why are the answers different?

Suppose that the national average for the math portion of the College Board's SAT is 520. The College Board periodically rescales the test scores such that the standard deviation is approximately 75. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores. If required, round your answers to two decimal places.

(a) What percentage of students have an SAT math score greater than 595?

(b) What percentage of students have an SAT math score greater than 670?

(c) What percentage of students have an SAT math score between 445 and 520?

(d) What is the z-score for student with an SAT math score of 635?

(e) What is the z-score for a student with an SAT math score of 425?

Problem 2-23

Suppose that the national average for the math portion of the College Board's SAT is 525. The College Board periodically rescales the test scores such that the standard deviation is approximately 100. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores.

If required, round your answers to two decimal places.

Problem 2-23

Suppose that the national average for the math portion of the College Board's SAT is 534. The College Board periodically rescales the test scores such that the standard deviation is approximately 50. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores.

If required, round your answers to two decimal places.

Question/Task: This assignment relates to the market potential estimation methods described in the article, Waheeduzzaman (2008). Amazon has decided to enter country CountryA. We have two very similar countries CountryA and CountryB whose data are given below. Amazon and eBay may have similar entry strategy. Number of households for CountryA = 60 million. Number of households for CountryB = 25 million. Percentage of households subscribing to eBay.com in CountryB = 25% Percentage of households having Internet in CountryA = 60% Literacy rate in CountryA = 97% Percentage of households with substantial purchasing power in Country A = 65% Task 1: Estimate market potential for Amazon in CountryA using Chain Ratio Method and Method of Analogy. Show your work. No work no points. Task2: Comment on the difference in estimation.

Suppose that the national average for the math portion of the College Board's SAT is 538. The College Board periodically rescales the test scores such that the standard deviation is approximately 100. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores.

If required, round your answers to two decimal places.