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# Introduction to Hypothesis Testing

INSTRUCTIONS:

Assignment Overview

Suppose that a 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

Case Assignment

1.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?

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

3.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.

4.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.

Assignment Expectations

Use the information in the modular background readings as well as resources you find through ProQuest or other online sources. Please be sure to cite all sources and provide a reference list at the end of the paper. Submit the paper as a Word document through the link provided for the assignment.

CONTENT:

Introduction to Hypothesis Testing Student Name: University: Introduction to Hypothesis Testing 1 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? Probability is the degree or measure of how likely an event is. An event in this case is the chances of an outcome of an experiment. Probability emerged during the mid-seventeenth century; the term probability comes from the word â€˜probableâ€™ meaning approval. Gerolamo Cardano demonstrated the effectiveness of describing odds of an event as the ratio of favorable chance to unfavorable chance. Therefore implying that the probability of something happen

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