A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 2 percentage points with 90​% confidence if

​(a) he uses a previous estimate of 32%?

​(b) he does not use any prior​ estimates?

​(a) n=_____

​(Round up to the nearest​ integer.)

​(b) n=______

​(Round up to the nearest​ integer.)

A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 3 percentage points with 99​% confidence if ​(a) he uses a previous estimate of 38​%? ​(b) he does not use any prior​ estimates?

A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 4% margin of error at a 90% confidence level, what sample size is needed?

A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 7% margin of error at a 90% confidence level, what size of sample is needed? ____

It is difficult to determine a person’s body fat percentage accurately without immersing him or her in water. Researchers hoping to find ways to make a good estimate immersed 20 male subjects, then measured their waist shown in the table.

a) Treating waist as the explanatory variable, x, determine the estimates of ?1and ?0.

College officials want to estimate the percentage of students who carry a gun, knife, or other such weapon. A 9898% confidence interval is desired where the interval is no wider than 5 percentage points?

(a)    How many randomly selected students must be surveyed if we assume that there is no available information that could be used as an estimate of p^p^.

First Hint: note the question is limiting the "width" of the interval to 5 percentage points. Also, use at least five decimals places of accuracy with all values used in calculations. Your final answer however should be an integer.

Answer:

(b)    How many randomly selected students must be surveyed if we assume that another study indicated that 66% of college students carry weapons. Answer:

A college student surveyed fellow students in order to determine a 90% confidence interval on the proportion of students who plan on voting in the upcoming student election for Student Government Association President. Of those surveyed, it is determined that 82 plan on voting and 169 do not plan on voting.

(a) Find the 90% confidence interval.
Enter the smaller number in the first box.

Confidence interval: ( , ).

A political candidate has asked you to conduct a poll to determine what percentage of people support her.

If the candidate only wants a 1% margin of error at a 99% confidence level, what size of sample is needed?

Give your answer in whole people.

Comfort Food Magazine states that the percentage of people who like to eat hot dogs is 55%. A random selection of 275 people are asked if they like eating hot dogs and 55% said they do. At the α = 0.09 level, is there sufficent evidence to conclude that the percentage of people that like to eat hot dogs is higher than 55%?

For mallard ducks and Canada geese, what percentage of nests are successful (at least one offspring survives)? Studies in Montana, Illinois, Wyoming, Utah, and California give the following percentages of successful nests (Reference: The Wildlife Society Press, Washington, D.C.).

(a) Use a calculator to verify that Σx = 301; Σx² = 20,561; Σy = 234; and Σy² = 12,294.

(b) Use the results of part (a) to compute the sample mean, variance, and standard deviation for x, the percent of successful mallard nests. (Round your answers to two decimal places.)

(c) Use the results of part (a) to compute the sample mean, variance, and standard deviation for y, the percent of successful Canada goose nests. (Round your answers to two decimal places.)

(d) Use the results of parts (b) and (c) to compute the coefficient of variation for successful mallard nests and Canada goose nests. (Round your answers to one decimal place.)

Write a brief explanation of the meaning of these numbers. What do these results say about the nesting success rates for mallards compared to Canada geese?

a. The CV is the ratio of the standard deviation to the mean; the CV for Canada goose nests is higher.

b. The CV is the ratio of the standard deviation to the mean; the CV for Canada goose nests is equal to the CV for mallard nests.    

c. The CV is the ratio of the standard deviation to the mean; the CV for mallard nests is higher.

d. The CV is the ratio of the standard deviation to the variance; the CV for Canada goose nests is higher.

e. The CV is the ratio of the standard deviation to the variance; the CV for Canada goose nests is equal to the CV for mallard nests.

g. The CV is the ratio of the standard deviation to the variance; the CV for mallard nests is higher.

Would you say one group of data is more or less consistent than the other? Explain.

a. The x data group is more consistent because the standard deviation is smaller.

b. The two groups are equally consistent because the standard deviations are equal.    

c. The y data group is more consistent because the standard deviation is smaller.

1. Both buyout funds and venture capital funds:
   1. Expect that only a small percentage of investments will pay off.
   2. Play an active role in the management of companies.
   3. Restructure companies to increase cash flow.

2. Hedge funds most likely:
   1. Have stricter reporting requirements than a typical investment firm because of their use of leverage and derivatives.
   2. Hold equal values of long and short securities.
   3. Are not offered for sale to the general publi

3. Which of the following available portfolios most likely most likely falls below the efficient frontier? Portfolio       Expected Return Expected Standard Deviation
   1. A                  7%                 14%
   2. B                  9%                 26%
   3. C                  12%               22%

4. When an investment advisor is developing return and risk objectives for a client:
   1. Return objectives should be absolute and risk objectives should be relative.
   2. Risk objectives should be absolute and return objectives should be relative.
   3. Both return and risk objectives may be stated in absolute or relative terms.

5. For asset allocation purposes, asset classes should be specified such that correlations of returns are relatively:
   1. Low within each asset class and low among asset classes.
   2. High within each asset class and low among asset classes.
   3. Low within each asset class and high among asset classes.

6. Interest rate swaps are:
   1. Highly regulated.
   2. Equivalent to a series of forward contracts.
   3. Contracts to exchange one asset for another.

7. A hedge fund that operates as an activist shareholder is most likely engaging in:
   1. A macro strategy.
   2. A relative value strategy.
   3. An event-driven strategy.

8. Which component of the return on a long futures position is related to differences between spot prices and future prices?
   1. Roll yield.
   2. Price return.
   3. Collateral yield.

9. Greenfield investments in infrastructure are most accurately described as investments in assets:
   1. That are operating profitably.
   2. That have not yet been constructed.
   3. Related to environmental technology.