a. The Institute of Education Sciences measures the high school dropout rate as the percentage of 16-through 24-year-olds who are not enrolled in school and have not earned a high school credential. Last year, the high school dropout rate was 8.1%. A polling company recently took a survey of 1,000 people between the ages of 16 and 24 and found that 6.5% of them are high school dropouts. The polling company would like to determine whether the dropout rate has decreased. At a 5% significance level, the p-value and α are _____________________.
p-value = 0.0318 and α = 0.025
p-value = 0.0210 and α = 0.025
p-value = 0.0210 and α = 0.05
p-value = 0.0318 and α = 0.05
b. A schoolteacher is worried that the concentration of dangerous, cancer-causing radon gas in her classroom is greater than the safe level of 4pCi/L. The school samples the air for 36 days and finds an average concentration of 4.4pCi/L with a standard deviation of 1pCi/L. The value of the test statistic is ___________.
z = –2.40
t35 = –2.40
t35 = 2.40
z = 2.40
c. The owner of a large car dealership believes that the financial crisis decreased the number of customers visiting her dealership. The dealership has historically had 800 customers per day. The owner takes a sample of 100 days and finds the average number of customers visiting the dealership per day was 750. Assume that the population standard deviation is 350. The value of the test statistic is ____________.
t99 = –1.429
t99 = 1.429
z = 1.429
z = –1.429
d. The alternative hypothesis typically ___________.
corresponds to the presumed default state of nature
states the probability of rejecting the null hypothesis when it is true
contests the status quo, for which a corrective action may be required
states the probability of rejecting the null hypothesis when it is false
e. When conducting a hypothesis test concerning the population mean, and the population standard deviation is unknown, the value of the test statistic is calculated as __________.
tdf=p−−popo(1−po)n√tdf=p−−popo(1−po)n
z=p−−popo(1−po)n√z=p−−popo(1−po)n
tdf=x−−μos/n√tdf=x−−μos/n
z=x−−μoσ/n√
f. When conducting a hypothesis test concerning the population mean, and the population standard deviation is known, the value of the test statistic is calculated as _________.
z=p−−popo(1−po)n√z=p−−popo(1−po)n
tdf=x−−μos/n√tdf=x−−μos/n
z=x−−μoσ/n√z=x−−μoσ/n
tdf=p−−popo(1−po)n√
In: Statistics and Probability
A medical technician is trying to determine what percentage of a patient's artery is blocked by plaque. To do this, she measures the blood pressure just before the region of blockage and finds that it is 1.20×104 Pa , while in the region of blockage it is 1.15×104 Pa . Furthermore, she knows that blood flowing through the normal artery just before the point of blockage is traveling at 33.0 cm/s , and the specific gravity of this patient's blood is 1.06.
What percentage of the cross-sectional area of the patient's artery is blocked by the plaque?
In: Physics
If the coefficient of determination is 0.497, what percentage of the data about the regression line is explained?
| 24.7% |
| 49.7% |
| 50.3% |
| 50.0% |
In: Statistics and Probability
The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with σ = 0.32 and that x = 5.23. (Use α = 0.05.)
(a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses.
: μ = 5.5 Ha: μ ≠ 5.5 Correct: Your answer is correct.
Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)
z = -3.6 Incorrect: Your answer is incorrect.
P-value = 0.0003 Incorrect: Your answer is incorrect.
(b) If the true average percentage is μ = 5.6 and a level α = 0.01 test based on n = 16 is used, what is the probability of detecting this departure from H0? (Round your answer to four decimal places.) 0.1071 Incorrect: Your answer is incorrect.
(c) What value of n is required to satisfy α = 0.01 and β(5.6) = 0.01? (Round your answer up to the next whole number.)
n = __________. samples
In: Statistics and Probability
What percentage of carbon atoms in cholesterol are derived from acetyl-coA?
In: Biology
1. A company contemplating the introduction of a new product wants to estimate the percentage of the market that this new product might capture. In a survey, random samples of 100 customers were asked whether or not they would purchase this new product. Fourteen responded affirmatively. The 90% confidence interval for the population proportion of potential customers that would purchase the new product is (0.08, 0.20).
a) Does the sample proportion lie in the interval (0.08, 0.20)? Yes/No?
b) Based on the scenario from the above question. Does the population proportion lie in the interval (0.08, 0.20)? Yes/No?
c) If we use a 95% confidence level instead of a 90% confidence level, will the confidence interval calculation from the same data produce an interval narrower than (0.08, 0.20)? Yes/No?
In: Statistics and Probability
(1) Given the following information what is the percentage change in the price of the bonds if interest rates suddenly rise by 4%?
|
Wing Air Inc. |
|
|
Coupon rate |
7% |
|
Settlement date |
1/1/2000 |
|
Maturity date |
1/1/2002 |
|
Face value |
1,000 |
|
# of coupons per year |
2 |
|
Airfoil, Inc. |
|
|
Coupon rate |
7% |
|
Settlement date |
1/1/2000 |
|
Maturity date |
1/1/2015 |
|
Face value |
1,000 |
|
# of coupons per year |
2 |
|
Change in interest rate |
4% |
(A) Wing Air -7.01%, Airfoil -29.07%
(B) Wing Air -7.0%, Airfoil -29.22%
(C) Wing Air 7.71%, Airfoil 48.03%
(D) Wing Air -12.27%, Airfoil -50.87%
Cavu Air Inc., issued 15 Year bonds 2 years ago at a coupon rate of 5.50% percent. The bonds make semi annual payments. If these bonds currently sell for 104 percent of par value, what is the YTM?
|
Settlement date |
1/1/2000 |
|
Maturity date |
1/1/2013 |
|
Annual coupon rate |
5.50% |
|
Coupons per year |
2 |
|
Face value (% of par) |
100 |
|
Bond price (% of par) |
104 |
(A) 5.29%
(B) 5.71%
(C) 5.08%
(D) 5.50%
Contrail Air Inc. Just paid a dividend of $2.00 per share on its stock. The dividends are expected to grow at a constant rate of 4% percent per year, indefinitely. If investors require a return of 12% percent, what is the current price?
|
Dividend paid |
$2.00 |
|
Dividend growth rate |
4% |
|
Required return |
12% |
|
Requested year |
0 |
(A) 24.04
(B) (26.00)
(C) 26.00
(D) 24.00
In: Finance
The openess is provided. Using a graph of Openness (as a percentage) versus time, explain in 200 words how openness has changed for these countries from 2001 to 2014.
Put Paraguay and Poland in the same graph and make sure your graph is properly labelled. Please type it up instead of handwriting if possible.
In: Economics
The Kb for an amine is 2.105 × 10-5. What percentage of the amine is protonated if the pH of a solution of the amine is 9.788? (Assume that all OH– came from the reaction of B with H2O.)
In: Chemistry
The percentage of newborn baby boys in the United States is 51.2%. In a recent sample of 964 births, 473 of the newborn babies were boys. Use a level of significance of 0.02 to test the claim that the percentage of newborn baby boys is not equal to 51.2%. Show your work to receive credit.
In: Statistics and Probability