Discuss the two major categories of probability


Module Assignment- Case INTRODUCTION TO HYPOTHESIS TESTING

Assignment Overview

Suppose tha 2012 National Health Interview Survey gives the number of adults in the United States which gives the number of adults in the United States (reported in thousands) classified by their age group, and whether or not respondents have ever been tested for HIV. Here are the data:

Age Group                Tested        Never Tested
18-44 years               50,080       56,405
45-64 years               23,768       48,537
65-74 years               2,694        15,162
75 years and older      1,247        14,663
Total                         77,789       134,767

Discuss probability. What is its history? What is the theory of probability? How is it calculated? What are the advantages and disadvantages of using this technique?

1. Identify and discuss the two major categories of probability interpretations, whose adherents possess conflicting views about the fundamental nature of probability.

2. Based on this survey, what is the probability that a randomly selected American adult has never been tested? Show your work. Hint: using the data in the two total rows, this would be calculated as p (NT) /( p (NT) + p (T)), where p is probability.

3. What proportion of 18- to 44-year-old Americans have never been tested for HIV? Hint: using the values in the 18-44 cells, this would be calculated as p (NT) / ( p (NT) + p (T)), where p is probability. Show your work.

Submit your (2-3 pages) paper by the end of this module.

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