BSTAT 3321 Projects The purpose of this project is to infer from a random sample of 30 countries...

Question

BSTAT 3321 Projects

The purpose of this project is to infer from a random sample of 30 countries some characteristics of all of the countries in the world. The following variables will be considered.

Economy

a. GDP per capita in dollars (PPP)

Unemployment as a percent
Inflation rate as a percent

People and Society

Female literacy rate as a percent
GDP spent on education as a percent
Infant mortality rate as total deaths per 1000 live births
Predominant religion as a name e.g. Protestant Christianity for the United States

1. For the countries in your sample, use Excel to construct the following graphs

GDP per capita – histogram (4 points)
Unemployment –histogram (4 points)
Predominant religion – pie chart (max of XXXXXXXXXXslices) (4 points)
GDP spent on education as a percent vs. GDP per capita in dollars – scatterplot (4 points)
Infant mortality vs. Female literacy – scatterplot (4 points)

Construct a 95% confidence interval for the world’s mean GDP per capita and mean GDP spent on education as a percent XXXXXXXXXXpoints each)
Do your data support the hypothesis that more than half of the countries in the world are predominately Christian at the XXXXXXXXXXsignificance level? At the .10 level? (20 points)
Regression and Correaltion analysis

Determine the sample regression line relating infant mortality to female literacy and plot it on a new scattergram XXXXXXXXXXpoints)
Test the hypothesis that b₁ = 0. (4 points)
Compute a 95% confidence interval estimate for b₁. (4 points)
With 95% confidence, estimate an average for all countries and predict for an individual country the infant mortality rate when female literacy rate is XXXXXXXXXXpoints)
Compute the correlation coefficient and coefficient of determination. (4 points)

Interpret the results of the above analysis (parts 1, 2, 3, and 4) in a managerial summary of no more than one page using non-technical language, meaningful to a person who has never had a statistics course. (20 points)

Bonus: Appearance of the project: cover, table of contents, color, organization,

clarity (10 points)

bstat-project-df3eff1n.xlsx busa-3321-projects-2019-pyvu4hyk.docx

Arijit Shankar · Accepted Answer

7
4829
1. a   Following is the histogram for GDP per capita
                        
b. Following is the histogram for unemployment 
                     
                
c. Following is the pie-chart for predominant religions  
d. Following is the scatterplot between GDP spent on education as a percentage and GDP per capita
It can be seen that there is a negative relationship between GDP spent on education as percentage and GDP per capita. 
e. Following is the scatterplot between Infant mortality and Female literacy
It can be seen that there is a negative relationship between female literacy rate and infant mortality rate. 
2. Confidence interval for world’s mean GDP per capita:
	World’s mean GDP per capita
	
	Average 
	28455.17
	Standard deviation
	32086.04
	Sample size
	30
	Confidence Coefficient
(at 5% level of significance)
	1.96
	Margin of error
	11481.84
	Upper bound
	39937.02
	Lower bound
	16973.33
Thus, the confidence interval for world’s mean GDP per capita is $16,73.33 and $ 39,937.02
Confidence interval for mean GDP spent on education as a percent:
	Mean GDP spent on education as a percent
	
	Average 
	4.32
	Standard deviation
	0.019972
	Sample size
	30
	Confidence Coefficient
	1.96
	Margin of error
	0.007147
	Upper bound
	4.327147
	Lower bound
	4.312853
Confidence interval for mean GDP spent on education as a percent is between 4.312853 and 4.3217147
3. We have to test the hypothesis that whether more than half of the countries in the world are predominantly Christian. 
We have to make a proportion test and proportion p here is 0.5 i.e. half the population
The null and alternative hypotheses are as follows:
H0 : p = 0.5
H1 : p  > 0.5
	Number of occurences (Christian in this case)
	13
	Sample Size
	30
	Sample proportion
	0.433333
	Standard deviation 
	0.091287
	p-value 
	0.767395591
The p-value is greater than 0.05 and we can conclude that we accept null hypothesis and reject alternative hypothesis. Thus, more than half of the countries in the world are not predominantly Christian. 
4. a. The regression line is given by the equation:
Y = α + β1X + Є
Where Y is the dependent variable i.e. infant mortality rate and independent variable X is female literacy. 
The regression output is given as below:
	SUMMARY OUTPUT
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	Regression Statistics
	
	
	
	
	
	
	
	Multiple R
	0.

BSTAT 3321 Projects The purpose of this project is to infer from a random sample of 30 countries some characteristics of all of the countries in the world. The following variables will be considered....

1. For the countries in your sample, use Excel to construct the following graphs

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