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Statistics Evaluations

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This is an individual assignment. This assignment is graded out of 59 and contributes 40% of your final grade. This assignment requires manual calculation as well as analyzing data using the statistical package R. Your final assessment submission must be in Microsoft Word or pdf format
You will be working with the KBP dataset provided in the course space. You will also need to use the document, Questions for KBP Survey. This document has selected questions as they appeared on the questionnaire that was administered to collect the data for this project.
 

Classify the variables by the levels of measurement used. Explain your choice of the levels of measurement. (12 marks)

 

Using R, generate a graph to represent the sample by alcohol usage in the past 4 weeks.

What can you say about alcohol usage among this sample of young persons? (6 points).
 

Using R, calculate the proportion of individuals by relationship status and report in a relative frequency distribution table. (4 marks)

One of your classmates wanted to represent the variable relationship status using a histogram. Explain to her why this is an appropriate or inappropriate way to describe this variable. If inappropriate, suggest a more appropriate way to represent this information. (3 marks)

Another one of your classmates wanted to represent the variable age of respondents using a histogram. Explain to him why this is an appropriate or inappropriate way to describe this variable. (2 marks)

Using R, calculate the mean and standard deviation for the number of sex partners of respondents in the past 12 months (4 marks)

 

Using R, calculate the mean and standard deviation for the number of persons that respondents used condom with in the past 12 months (4 marks)

Were respondents more variable in the number of sex partners in the past 12 months or the number of persons that respondents used condom with? Provide an explanation for your findings using appropriate statistics. (6 marks)

 

Using the statistics calculated in question 6, construct a 95% confidence interval for the mean number of persons that respondents used condom with in the past 12 months and briefly interpret this interval. (6 marks)

 

Suppose the researcher wants to investigate the mean number of sex partners in the past 12 months for young persons. It is believed that the mean number of sex partners was at least 2 persons in the past 12 months. Assuming that the respondents in the KBP dataset represents a random sample of young persons, use the statistics calculated in question 7 to test this claim made about young persons. (10 marks)

 
Note: Make sure to state the null and alternative hypotheses both in words and statistical notation (3 marks). Formulate decision rules and show graphically (3 marks). Calculate the appropriate test statistics making sure to indicate the formula that you are using (2 marks). State the conclusion in the context of this situation (2 marks).
 

Suppose that you are curious to find out if there is any relationship between gender and alcohol usage. Discuss why hypothesis test of means may not be useful to make inference in this case. (2 marks)

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