# HOW IS THE REJECTION REGION DEFINED, AND HOW IS THAT RELATED TO THE P VALUE? WHEN DO YOU REJECT OR FAIL TO REJECT THE NULL HYPOTHESIS?

HOW IS THE REJECTION REGION DEFINED, AND HOW IS THAT RELATED TO THE P VALUE? WHEN DO YOU REJECT OR FAIL TO REJECT THE NULL HYPOTHESIS? WHY DO YOU THINK STATISTICIANS ARE ASKED TO COMPLETE HYPOTHESIS TESTING? CAN YOU THINK OF EXAMPLES IN COURTS, IN MEDICINE, OR IN YOUR AREA?
Devry MATH221N Week 1 Discussion
If you were given a large data set, such as the sales over the last year of our top 100 customers, what might you be able to do with these data? What might be the benefits of describing the data?
Devry MATH221N Week 2 Discussion
Suppose you are given data from a survey showing the IQ of each person interviewed and the IQ of his or her mother. That is all the information that you have. Your boss has asked you to put together a report showing the relationship between these two variables. What could you present and why?
Devry MATH221N Week 3 Discussion
The odds of winning a game are given as 1:25. What is the probability that you will win this game? What is the probability that you will lose this game? In your follow up replies, consider which number in the odds ratio needs to change and how in order to increase the probability of winning. (Note: see page 145 in the text for a discussion on odds.)
Devry MATH221N Week 4 Discussion
Provide an example that follows either the binomial or Poisson distribution, and explain why that example follows that particular distribution. In your responses to other students, make up numbers for the example provided by that other student, and ask a related probability question. Then show the work (or describe the technology steps) and solve that probability example.
Devry MATH221N Week 5 Discussion
Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more? Why or why not?
Devry MATH221N Week 6 Discussion
Consider the formula used for any confidence interval and the elements included in that formula. What happens to the confidence interval if you (a) increase the confidence level, (b) increase the sample size, or (c) increase the margin of error? Only consider one of these changes at a time. Explain your answer with words and by referencing the formula.
Devry MATH221N Week 7 Discussion
How is the rejection region defined, and how is that related to the p value? When do you reject or fail to reject the null hypothesis? Why do you think statisticians are asked to complete hypothesis testing? Can you think of examples in courts, in medicine, or in your area?

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