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[2022] This week, we are looking at inferences about samples taken from the population using hypothesis testing. We study several different hypothesis tests in the class, including normal distribution, t-Test, Chi-Square equal frequencies

Week 4 Discussion: Hypothesis Testing

This week, we are looking at inferences about samples taken from the population using hypothesis testing. We study several different hypothesis tests in the class, including normal distribution, t-Test, Chi-Square equal frequencies, Chi-Square unequal frequencies, Chi-Square independence, and Analysis of Variance (ANOVA). In this discussion we will perform a t test. A t-test is used when you have a normal distribution, a quantitative variable, and the population mean is not known.

To prepare for this Discussion:

  • Review the Week 4 Discussion resources.
  • Look at the data set that you used in Discussion 1 or 2.  In order to do this week’s Discussion, you will need to have one quantitative variable that you want to test against some widely accepted value.

Example: I will go back to the original data set I used in the Week 1 Discussion. I want to test my data against the widely accepted mean of systolic blood pressure equal to 120. I claim that the systolic pressure is greater than 120. My hypotheses would be Null: the mean systolic pressure equals 120.
Alternative: the mean systolic pressure is greater than 120.

  • I chose 120 as my value to test against because that is the recommended value that your doctor would expect.

 

Note: If I were conducting this test, I would want to have a simple random sample of more than 15 data values; but for the purposes of this exercise, the data values from Discussion 1 will serve our purposes.

Gender Weight (lb.) Systolic Pressure (mm Hg)
M 150 144
F 110 100
M 225 140
M 250 113
M 275 128
F 125 98
F 150 94
M 235 138
F 176 128
M 267 116
M 145 132
F 136 88
M 285 126
F 178 130
F 112 100
  • Review the rubric that will be used for grading.  

With these thoughts in mind:

By Day 4

Post a 1- to 2-paragraph write-up that includes the following:

  1. You will want to use Word for your Discussion post.
  2. Include your data set and describe the scenario you will be using for the hypothesis test. Give the null and alternative hypotheses and your level of significance. In your hypotheses, how did you determine what value to test against?
  3. Enter the data for your quantitative variable in the Statdisk Sample Editor.
  4. Choose Analysis, Hypothesis Test, Mean- One Sample. Click on the Use data at the top of the menu. If you want to use a different level of significance, change that value. Paste your complete Statdisk results in your Discussion.
    Note: The information for the alternative hypothesis at the top of the menu must agree with your alternative hypothesis (equal, not equal, greater than, less than). For my example, I would need to change the menu to “greater than.” Click on Evaluate and paste your results into the document.
  5. Write a conclusion statement based on your comparison of the p-value and level of significance. The prescribed format is: Since the p-value of # is more/less than the level of significance of #, the null hypothesis is/is not rejected; therefore, the data supports (paraphrase the hypothesis supported).
  6. What is the most important thing that you learned from this Discussion post, and why?

By Day 6

Read a selection of your colleagues’ postings.

Respond to at least two of your colleagues’ postings substantively in one or more of the following ways:

  • Ask a probing question.
  • Share an insight from having read your colleague’s posting.
  • Offer and support an opinion.
  • Validate an idea with your own experience.
  • Expand on your colleague’s posting.

Return to this Discussion in a few days to read the responses to your initial posting. Note what you have learned and/or any insights you have gained because of the comments your colleagues made.

Late Policy: Discussion is an interactive learning environment and all discussion posts must occur within the week within which they are relevant. Posts submitted late but within the week in which they are relevant may be penalized at the instructor’s discretion.

Click on the Reply button below to reveal the textbox for entering your message. Then click on the Submit button to post your message.

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