The World Bank collected data on the percentage of GDP that a country spends on health expenditures ("Health expenditure," 2013) and also the percentage of women receiving prenatal care ("Pregnant woman receiving," 2013). The data for 14 countries where this information is available for the year 2011 are in following table (note: outlier data has been removed):

Data of Health Expenditure versus Prenatal Care

Test at the 5% level for a correlation between percentage spent on health expenditure and the percentage of women receiving prenatal care.  

(i) Which of the following statements correctly define both the null hypothesis H_O and the alternate hypothesis H_A ?

A.   H_O :  ? = 0   H_A :  ? < 0

B.     H_O :  ? > 0   H_A :  ? = 0

C.   H_O :  ? = 0   H_A :  ? > 0

D.     none of these answers are correct

(ii) Enter the level of significance ? used for this test, and the degrees of freedom df:

Enter level of significance in decimal form to nearest hundredth, followed by comma, followed by degrees of freedom value to nearest integer. Do not enter spaces.

Examples of correctly entered answers:  0.01,4    0.02,11    0.05,13    0.10,46

(iii)   Use technology to determine correlation coefficient r between independent variable (percent GDP spent on healthcare) and dependent variable (percent women receiving prenatal care)

Enter in decimal form to nearest ten-thousandth with sign. Examples of correctly entered answers:

-0.0001    +0.0020    -0.0500    +0.3000    +0.7115

Recommended online calculator:

Correlation and Linear Regression Calculator Applet

(iv)  Calculate and enter test statistic

Enter value in decimal form rounded to nearest hundredth, with appropriate sign (no spaces). Examples of correctly entered answers:

–2.10      –0.07        +0.60        +1.09

Recommended online calculator:

Correlation Coefficient - Testing Significance

(v) Using tables, calculator, or spreadsheet: Determine and enter p-value corresponding to test statistic.

Enter value in decimal form rounded to nearest thousandth. Examples of correctly entered answers:

0.000     0.001     0.030     0.600      0.814 1.000

Recommended online calculator:

Correlation Coefficient - Testing Significance

(vi) Comparing p-value and ? value, which is the correct decision to make for this hypothesis test?

A. Reject H_o

B. Fail to reject H_o

C. Accept H_o

D. Accept H_A

Enter letter corresponding to correct answer.

(vii) Select the statement that most correctly interprets the result of this test:

A. The result is statistically significant at .05 level of significance. Evidence supports the claim that there is a correlation between percent GDP spent on healthcare and percentage of women receiving prenatal care.

B. The result is statistically significant at .05 level of significance. There is not enough evidence to show that there is a correlation between percent GDP spent on healthcare and percentage of women receiving prenatal care.

C. The result is not statistically significant at .05 level of significance. Evidence supports the claim that there is a correlation between percent GDP spent on healthcare and percentage of women receiving prenatal care.

D. The result is not statistically significant at .05 level of significance.   There is not enough evidence to show that there is a correlation between percent GDP spent on healthcare and percentage of women receiving prenatal care.

Enter letter corresponding to most correct answer

1. In the U.S., what percentage of the energy used to generate electricity is lost to conversion efficiencies?
i. 20%
ii. 30%
iii. 40%
iv. 50%
v. 60%

2. What is wind turbine coefficient of performance?
i. The ratio of tip speed to incoming wind speed
ii. The ratio of AC to DC turbine power
iii. The ratio of power extracted by the turbine to the rated turbine power
iv. The ratio of the power extracted by the turbine to the power in the wind

3. What is the maximum wind turbine power that can be harvested using a wind turbine with a turbine radius = 0.2 m and wind speed = 3 m/s, air density = 1.23 kg/m3?
i. 0.23 W
ii. 0.41 W
iii. 0.70 W
iv. 0.82 W
v. 1.23 W

The percentage of titanium in an alloy used in aerospace castings is measured in 51 randomly selected parts. The sample standard deviation is s = 0.40. Construct a 95% two-sided confidence interval for σ. Assume population is approximately normally distributed.

Round your answers to 4 decimal places.

The percentage of hardwood concentration in raw pulp, the vat pressure, and the cooking time of the pulp are being investigated for their effects on the strength of paper. Three levels of hardwood concentration, three levels of pressure, and two cooking times are selected. A factorial experiment with two replicates is conducted, and the following data are obtained:

(a) Analyze the data and draw conclusions. Use ? = 0.05.

(b) Prepare appropriate residual plots and comment on the model’s adequacy.

(c) Under what set of conditions would you run the process? Why?

A Campaign manager for a local politician is interested in the percentage of Leon County residents who intend to vote in the 2020 elections in November. Residents from each neighborhood in Leon County are randomly sample techniques, larger neighborhoods have a larger number of residents randomly sampled and smaller neighborhoods have a smaller number of residents randomly sampled to get a representative sample. Altogether 434 Leon County Residents are sampled. The result is that 39% of the sampled Leon County Residents intend to vote in 2020 elections in November.

(1)Suppose that someone at a local news station wants to consider the sampling variability and uses the results of the survey to calculate the margin or error for the result. The person at the station assumes that the normal distribution can be used in calculating the margin of error. Is the assumption of the normal distribution here correct?

A)Although a random sample was taken, the normal distribution is not appropriate since not enough residents were sampled

B)The normal distribution is appropriate since a random sample was taken and there were enough residents who answered "YES" as well as "NO" to voting in the 2018 midterms in November.

C) The normal distribution is not appropriate since only a sample of all the residents of Leon County were surveyed.

D)The normal distribution is appropriate since a random sample was taken and there were more than 30 residents surveyed.

(2)In the midterm primaries in August 2018, 37% of Leon County residents voted. Based on the information provided above, would it be surprising if 37% of all Leon County residents also intended to vote in the 2020 elections?

State Yes, or No and use statistical reasoning to support your position.

(3) Using the information from the sample above, what is your conclusion regarding the proportion of Leon County residents who intend to vote in the 2020 election in November?

A simple random sample of 3,600 persons is taken, to estimate the percentage of smokers in a certain large population. It turns out that 1,217 people in the sample are smokers.

(a) Find the estimated percentage of smokers in the population.

(b) Find the standard error of the estimated percentage of smokers in (a).

(c) Find a 95% confidence interval of the percentage of smokers in the population.

(d) Find the margin of error for your estimation of the percentage of smokers.

(e) Find the estimated variance and standard deviation of the estimated percentage of smokers

2. A survey is to be conducted to study work absence due to acute illness in factory with 1200 workers. Suppose the mean number of days lost per year is 4.6 and that the standard deviation is 2.7 days lost per year, and the sample is to be selected by simple random sampling. What sample size is needed to produce an estimate of the mean number of days lost with a standard error of se(y) = 0.15?

What is the percentage change in price for a zero coupon bond if the yield changes from 6​% to ​7%? The bond has a face value of ​$1,000 and it matures in 13 years. Use the price determined from the first​ yield, ​6%, as the base in the percentage calculation.

Multiple-Choice Questions

1. The unemployment rate is calculated as:

1. the percentage of the labor force that is unemployed.
2. the percentage of the population that is unemployed.
3. all people without jobs, as a percentage of the labor force.
4. all people without jobs, as a percentage of the population.

1. The labor force participation rate is calculated as:

1. the percentage of the population age 16 or older that is unemployed.
2. the percentage of the population age 16 or older that is in the labor force.
3. the percentage of the population age 16 or older that is unemployed.
4. the percentage of the labor force age 16 or older that is employed.

1. The unemployment rate understates the true problem of unemployment because of:

1. the limited hours for some part-time workers.
2. the plight of discouraged workers.
3. the plight of people who have given up looking for a job.
4. all of the above.

1. Unemployment rates are above the national average for:

1. Hispanics.
2. Blacks.
3. Teens.
4. all of the above.

1. A young woman experiences a short delay in finding a better job after she quits an unsatisfactory job. This type of unemployment is:

a. frictional.

b. structural.

c. cyclical.

d. none of the above.

1. A middle-aged autoworker is laid off from his job after improved technology (robotics) reduces the need for workers. This type of unemployment is:

a. frictional.

b. structural.

c. cyclical.

d. none of the above.

1. Which of the following would not be used to reduce structural unemployment?

1. retraining assistance
2. relocation assistance
3. policies to expand GDP
4. policies to expand education

1. Full employment means:

a. no cyclical unemployment.

b. no frictional unemployment.

c. no structural unemployment.

d. all of the above.

1. What is the effect of a minimum wage in a low skill labor market?

1. a higher wage.
2. a higher quantity of labor supplied.
3. a lower quantity of labor demanded.
4. all of the above.

True-and False Questions

1. The problem of unemployment for the macro economy is the reduction in output that results.

2. Frictional unemployment is assumed to be fairly normal and temporary.

3. Because of its short duration, structural unemployment is assumed not to be very serious.

4. Cyclical unemployment results from a drop in economy activity in our economy as a whole.

5. Full employment means there is no unemployment.

6. Since 1964, the U.S. labor force participation rate has decreased.

7. According to the official definition of unemployment, unemployed people include those who have given up seeking employment.

Use StatCrunch to determine the count and percentage of observations falling in each of these intervals by following the instructions listed below or using another appropriate counting method. Properly label and list these counts and percentages in your document.

Start in the “Body Temp” data set. Go to Data  Row Selection  Interactive Tools. In the slider selectors box, click the variable Body Temp into the variable box. Then Click compute.

I got this answer:

68% of the data falls within one standard deviations

68% confidence interval of mean

=98.25+/-0.733

=(97.52, 98.98)

95% of the data falls within two standard deviations

95% confidence interval of mean

=98.25+/-2*0.733

=(96.78, 99.72)

99.7% of the data falls within three standard deviations

99.7% confidence interval of mean

=98.25+/-3*0.733

=(96.05, 100.45)

The box that appears has a slider under the words Body Temp that allows you to create ranges of temperatures that you determined in 4d. Use the slider to obtain the count by looking at the “# rows selected” presented in the first line of the box. Calculate the percentages from the counts you obtained.

I need the answer to this and the rest please!

Do each of the three percentages found in part 4e match to what the Empirical Rule predicts? State your answer in a sentence.

Suppose a new student with a body temperature of 98.6 degrees was recorded. Calculate the z-score of this ‘new’ body temperature and explain in a complete sentence what this z-score indicates.