It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico:

What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line?

Group of answer choices

2.6%

0.3%

94.8%

0.1%

97.4%

In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. More than a decade ago, high levels of lead in the blood put 82% of children at risk. A concerted effort was made to remove lead from the environment. Now, suppose only 8% of children in the United States are at risk of high blood-lead levels.

(a) In a random sample of 220 children taken more than a decade ago, what is the probability that 50 or more had high blood-lead levels? (Round your answer to three decimal places.)

(b) In a random sample of 220 children taken now, what is the probability that 50 or more have high blood-lead levels? (Round your answer to three decimal places.)

Unemployment is one of the major macroeconomic issues that concern policy makers. Some economists have argued the main reason for a rise in unemployment during the great recession 2008/09 is a drop in labour demand.

1. Show the effects of a drop in labour demand curve using the labour supply and labour demand curves in the competitive equilibrium with perfect information. Can it predict a rise in unemployment?
2. Suppose now there is imperfect information, e.g. firms cannot perfectly observe workers’ effort. Explain how your answers to part (a) are changed.
3. Another reason why a drop in labour demand can imply a higher unemployment rate is the minimum wage law. Explain how it works using labour supply and labour demand curves. Can this be a main cause of the rise in aggregate unemployment during the great recession for the United States?

Using survey data to calculate statistics can be extremely valuable, but you must also make sure that the sample and questions are unbiased. Design a pair of questions that are related to the same healthcare issue: one that is unbiased and another that would result in a bias in one direction or the other.  

Examples:

1. Do you think that the rate of type II diabetes diagnoses will increase over the next 10 years?
2. Given the large increase in childhood obesity in the United States, do you think that type II diabetes diagnoses will increase over the next 10 years?

Discuss why it is important to create a truly unbiased sample and survey questions.

Do not state which of your own questions is biased and which is unbiased. Your peers will determine which is which in their responses to you.

Suppose that an increase in the price level reduces the value of real wealth, which then causes a reduction in consumption but no change in saving. In this case:

During the Great Depression, aggregate demand in the U.S. economy decreased. As a result, the price level _________ and real gross domestic product (GDP) _________.

From 2011 to 2012, nominal gross domestic product (GDP) in the United States increased by:

1. Calculate the missing values:

1. (5pts) Nominal and real interest rates. Provide your calculations.

2. (10 pts) Per capita GDP: Using the following data, organize from the largest to smallest, according the rate of growth of GDP per capita in each year. Explain your answer. (5pts)

   	Year	Australia	Belgium	Brazil	Colombia	France	Japan	United States
   GDP growth (annual %)	2013	2.44	0.02	2.74	4.94	0.66	1.61	2.22
   	2014	2.50	1.35	0.14	4.55	0.18	-0.10	2.39
   Population growth (annual %)	2013	1.89	0.53	1.23	1.35	0.73	0.46	0.96
   	2014	1.72	0.42	1.19	1.31	0.72	0.41	0.95

In March 2009, the Canadian dollar was worth $0.78 U.S. dollars. In April 2011, the Canadian dollar was worth $1.06 U.S. dollars. What effect would this increase have on the trade balance between the United States and Canada?

a) Canadian imports will rise and Canadian exports will fall, so the Canadian trade balance will fall and the U.S. trade balance will rise.

b) Canadian imports will fall and Canadian exports will rise, so the Canadian trade balance will rise and the U.S. trade balance will fall.

c) Canadian imports will rise and Canadian exports will fall, so the Canadian trade balance will rise and the U.S. trade balance will fall.

d) Canadian imports will fall and Canadian exports will rise, so the Canadian trade balance will fall and the U.S. trade balance will rise.

Compare the mortality rate between two different countries of interest or between the Worldwide rate and any one country of interest.  You will perform a Two Sample Hypothesis Test of Proportions to compare the data.  Be sure to conduct a complete five step Hypothesis Test.  You may want to review the example problems posted in this week’s discussion stream.  State the conclusions based on the results of the test. Are there any reasons for the similarity or difference in mortality rates in the test?  In your estimation is there any reason to question the validity or reliability of the data used in the test?  Could you suggest any other test of the attached data or any other data set regarding the COVID-19 trends among these countries?

Information for Year 1, Year 2, and Year 3 for the Alpinian branch of Rawl Corporation is presented in the following table. The corporate tax rate in the Alpinian Republic in Year 1 was 11 percent. In Year 2, the Alpinian Republic increased its corporate income tax rate to 15 percent. In Year 3, the Alpinian Republic increased its corporate tax rate to 22 percent. The U.S. corporate tax rate in each year is 21 percent.

For Year 1, Year 2, and Year 3, what is the foreign tax credit allowed in the United States?