AI use is not allowed on this assignment. If you turn in anything generated by AI, I will not accept it.

AI does not understand the assignment anyway, so what you turn in will be almost gibberish. At this point, I am tired of grading nonsense made by AI and giving out 60s and below for terrible AI-generated work. I am not going to do it anymore. If you turn in work that was generated by AI, you will receive a 0. You can then do the assignment for real and turn it in again, but at that point you will be late and have a penalty (25-50% depending on how late it is). You might as well just do it yourself the first time. It is really not a difficult project. Just ask if you need help.

In this project, you will perform a hypothesis test to determine the validity of a claim. You may test any claim type covered in Chapters 8 or 9. (If you want to test a different kind of claim using one of the methods that we cover in Chapters 10-13, you must obtain approval from me.) You must follow the 5-step hypothesis testing procedure given in class. Details on the project (including a breakdown of how the project will be graded) are below.

You will type a paper detailing your work as outlined below. You will only turn in an electronic copy of your assignment, so if you do not type your calculations, you must insert the handwritten parts directly in the Word file with the rest (see "Overall Project" below for information on how you should turn in handwritten parts). Most of your paper will be in a pdf titled "lastname-firstname-math273-project.pdf" (obviously, replace "lastname-firstname" with your name). A small part of your work will be in an Excel file titled "lastname-firstname-math273-project-data.xlsx" (see below in Section 2). Both the pdf and the Excel spreadsheet must be turned in to receive full credit.

You should include a title page containing your name and information about the course. Each numbered section below should be on a separate page. Here is a . Feel free to use the template or type the paper from scratch.

  1. DEFINE PARAMETER (20 points):
    Define the parameter you are going to test. You must find a claim about a population parameter (mean, proportion, etc.) in a source that is credible. You cannot make up your own claim. Make sure your source really is claiming what you say it is claiming. If you are unsure whether your source is credible, you are strongly encouraged to ask me about it in advance. See the end of this assignment for some examples to give you an idea of possible parameters to test. You may only test a different kind of claim if you receive approval from me ahead of time.

    Write a paragraph in your paper to briefly explain the parameter that you have chosen to test, citing the source. If the source is a website, include the specific URL (not just the general "homepage" of the website) inside your Excel spreadsheet so that the source can be confirmed. If I cannot find the claim in the website that you cite, you will not receive credit for citing the source.

    It is a good idea to do this part early and ask me (during office hours or through email/Canvas) whether you have chosen a suitable parameter to test. I will be glad to offer advice on whether your choice will likely work.


  2. GATHER SAMPLE (15 points):
    Once you have chosen a parameter, you must collect a sample to use in a hypothesis test. You must collect the sample yourself. You cannot use a sample that you found online or anywhere else; you MUST collect it yourself. If your sample is made up of people, you must include their names with your data. For example, if you are checking the average height of men, you must personally ask your sample of men to measure their heights for your sample, and then you must record their names and their heights. For sensitive data, you may use initials.

    If you are testing a claim about proportion, you must collect a sample of size at least 100. For all other claims, you must collect a sample of size at least 30. For claims comparing two populations, you need a sample of the appropriate size from each population.

    Briefly describe in this section your method of gathering the sample. All sample data must be provided in the Excel spreadsheet. Name the spreadsheet "lastname-firstname-math273-project-data.xlsx" and submit it through this Canvas assignment.


  3. CALCULATIONS (5 points):
    Include in this step any calculations that will be needed in your specific test. For example, a claim about a mean will require a sample mean and standard deviation (note: if your source includes a population standard deviation, then you may use it, but you must include it in your description in Section 1 above). A claim about proportion requires the sample proportion. Etc.

    Include all calculations in your paper (if you are unable to type your calculations, you can neatly handwrite your calculations, take a picture, and insert it on this page - see "Overall Project" below). You can have Excel complete some calculations for you if your work makes it clear that you understood and set up the calculations yourself.

    After your calculations, you should clearly state the calculated sample data (sample mean, standard deviation, proportion etc. as appropriate to your test) at the bottom of this section.


  4. HYPOTHESIS TEST (40 points):
    Using the 5-step procedure for hypothesis testing given in class, test the claim from your source. Test the claim at confidence level α=0.05. Use the appropriately tailed test (2-tailed, right-tailed or left-tailed) to match the claim. Use the correct test (z-test for mean, t-test for mean, z-test for proportion, etc.) for your data.

    Be sure to clearly outline your work following the 5 steps. If you are unable to type any steps containing calculations, you can neatly handwrite your calculations and insert a picture, but see "Overall Project" below.


  5. CRITICAL THINKING (10 points):
    Give a non-mathematical argument (at least a few sentences) as to why you think the null hypothesis was or was not rejected. Your explanation should make it clear that you understand what rejecting (or not rejecting) H0 means for your test. You should include a well-thought-out, non-mathematical reason why the test might have turned out the way that it did. Be sure your answer reflects what your test actually found (for some reason people often reject the claim and then proceed to explain why it was not rejected, or vice versa).


  6. OVERALL PROJECT (10 points):
    Neatness, clarity, and organization must be present throughout the paper. Spelling and grammar should be correct. Make sure you include a title page and that Sections 1-5 listed above are each on their own page.

    To avoid penalties, you must upload 2 files following the guidelines below:
    1. A 6-page pdf titled "lastname-firstname-math273-project.pdf" (but change it to your name).
      Your pages should be as follows:
       Page 1:   Title Page.
       Page 2: Define Parameter (Section 1)
       Page 3: Gather Sample (Section 2)
       Page 4: Calculations (Section 3)
       Page 5: Hypothesis Test (Section 4)
       Page 6: Critical Thinking (Section 5)
      You should make an attempt to type the calculation parts of your paper (you can find help for this online, for example see and ). If you are unable to type your calculations, you can neatly handwrite your calculations, take a picture, and insert it into your paper.
    2. An Excel spreadsheet titled "lastname-firstname-math273-project-data.xlsx" (but change it to your name).
      If your claim in Section 1 came from a website, include the full URL in the spreadsheet.
      Include all sample data in the spreadsheet.
      Turn in the actual spreadsheet, not a pdf printout of the spreadsheet.

 

Example topics:
Means: Average height of adult men. Average age of college students. Average GPA of athletes. Average amount of soda in a can.
Proportions: Proportion of people with blood-type O. Proportion of college students with student loans. Proportion of skittles that are red.
These are meant to give you a basic idea of types of claims, but you should try to find a claim that is interesting to you.

DO NOT do one of the examples above or any claim about height of people. I am tired of reading 10 of the same paper every semester.

PARAMETER and SAMPLE help: I want to give an example to help clarify the PARAMETER and SAMPLE sections, because many students get confused. Suppose you decided to do your project on height of adult men. (Do not actually choose that topic; see above.) In your PARAMETER section, you would find some external source (not yourself, probably a website) that says (claims) what the mean height of adult men is. You would explain your topic and what claim you found in the PARAMETER section. You chose the topic, but you did not make the claim yourself. You found the claim somewhere outside of yourself.

Then, in your SAMPLE section, you would personally, physically collect a sample. This sample is collected by you, yourself, personally. If the claim that you found was about mean height of adult men, you would personally go ask at least 30 adult men for their heights and record them in your sample.

So, the claim must come from somewhere else, like a website, and it cannot just come from you. On the other hand, the sample must be collected by you, yourself, and cannot come from anywhere else (you cannot use a sample that you found on a website, for example, because that sample was collected by someone besides you, yourself).

If in doubt, ask me about your work on the first two sections before continuing to the third section.