Progress Check
Use this activity to assess whether you and your peers can:
- Use the given step-by-step process to conduct a hypothesis test for a population proportion.
- State your conclusion in context.
Directions
Use the drop-down menu to learn about the three steps needed to complete this assignment.
Three steps to complete the assignmentStep 1: Review the Rubric
- Before you submit your work, review the rubric at the bottom of this assignment.
- Use the rubric as a checklist to determine whether you are ready to submit your work.
Step 2: First Draft
- Commit a good-faith effort to address each item in the Prompt section below.
- Please be sure to number your responses and include "white space" between problem numbers. This improves the readability and flow of your work. I cannot give feedback and grade jumbled work.
- Use either of the following options to submit your work.
OPTION 1: You can submit a text-entry assignment (i.e. typing your answers in Canvas). To learn how to submit a text-entry assignment, use these directions (opens in a new tab).
OPTION 2: You can upload your paper-and-pencil work (or the digital equivalent). To learn how to upload your paper-and-pencil work, use these directions (opens in a new tab). WARNING - some file types may not be visible on my end. So to learn which files you can upload, be sure to use the directions link I provided for this option. - Not ready to submit a good-faith effort yet? Avoid frustration - use the link to the Questions, Answers, & Tips discussion board (at the bottom of this page) to post questions about this assignment (or visit the discussion board to answer your classmates' questions). You can also contact me directly (see the homepage for my contact information).
Step 3: Optional Final Draft
- After you submit your good-faith attempt to fully respond to the questions in the Prompt section below, advance to the ANSWER(S) page.
- You can use the ANSWER(S) page to correct your work and resubmit this assignment any time before I begin grading the problems. However, to earn full credit, you are not required to submit a final draft for this assignment. But if you do submit a final draft, I will only grade it if you submitted a good-faith effort on your first draft.
- Warning - I will only grade your most recent submission. So if you choose to submit a final draft, please do not leave anything out, and please do not direct me to read an earlier submission. To maximize your score, your most recent submission (at the time I begin grading) must be complete.
Variables
- Math: Math SAT score
- Verbal: Verbal SAT score
- Credits: Number of credits the student is registered for
- Year: Year in college (1=Freshman, 2=Sophomore, 3=Junior, 4=Senior)
- Exercise: Time (in minutes) spent exercising in a typical day
- Sleep: Time (in hours) spent sleeping in a typical day
- Veg: Are you a vegetarian (yes, no, some)
- Cell: Do you own a smartphone (yes, no)
Data
If you have not done so already, open the cell-phones datafile in the Stats at Cuyamaca College group on StatCrunch (directions - opens in a new tab).
Context
In 2015 college students at a large state university completed a survey about their academic and personal life. Questions ranged from "How many credits are you registered for this semester?" to "Would you define yourself as a vegetarian?"
The researcher randomly selected 325 students from the university; 312 responded to the survey.
Prompt
Once again, here is the research question for this lab.
Based on a recent study, roughly 80% of college students in the U.S. own a smartphone. Is the proportion of smartphone owners lower at this university?
Respond to each of the following in your initial post.
- State your hypotheses in symbolic form and in words. (The following should be clear in your answer: the population of interest and the meaning of the proportion p in terms of the variable Cell.)
- StatCrunch uses a normal model to estimate the P-value probability. Verify that normality conditions are met.
- Use StatCrunch to conduct the hypothesis test. (directions)
Copy and paste the results (the StatCrunch output window) into the textbox. - Give your P-value and interpret its meaning as a conditional probability.
- State a conclusion that answers the research question. Use a significance level of 5%. (Be sure to state your conclusion in context. This means you should include the P-value, and reference the population and the variable Cell in your conclusion.)
We cannot know whether a Type 1 or Type 2 error actually occurs in a hypothesis test. But, based on the results of our hypothesis test, we should be aware of which type of error is possible and what that error means in the context of our test.
- For the hypothesis test you conducted above, which type of error is possible, Type 1 or Type 2? Briefly explain why.
- In the context of your hypothesis test, describe a potential consequence of this type of error.
List of StatCrunch Directions
Click here for StatCrunch DirectionsEach link will open in a new window. To return to this assignment, either close the new tab or select the tab for this assignment.- Purchase StatCrunch (You only need to do this once.)
- Open StatCrunch
- Download StatCrunch Output Window (no screenshots; please use these directions)
- Hypothesis Test for a Population Proportion
- Copy & Paste a StatCrunch Table
Here is a PDF document with all StatCrunch directionsLinks to an external site..
Module 19 Discussion Board
Use the Module 19 discussion board (opens in a new tab) to ask questions or provide feedback about the problems in any Module 19 activity - including this peer-reviewed assignment.
Review Feedback
- Instructor feedback is only available after an assignment is graded.
- Use these directions (opens in a new tab) to learn how to review feedback.
Click the "Next" or > button to continue.
Content by Cuyamaca College math faculty and licensed under the Creative Commons 4.0 International LicenseLinks to an external site..
Rubric
Formative Assessments w/ StatCrunch
| Criteria | Ratings | Pts |
|---|---|---|
This criterion is linked to a Learning OutcomeAnswering the Prompt | 8 ptsFull CreditThe first submission demonstrates a good-faith effort to address each part of the Prompt. Either in the first draft or the optional final draft, all parts of the "Prompt" are addressed and the responses demonstrate attainment of the learning objectives in the "Progress Check" section of the assignment. The answers are correct. The writing/work is clear. The explanation/work is reasonable, well-organized, and easy to follow.6.5 ptsMostly CorrectThe first submission demonstrates a good-faith effort to address most of the Prompt. In the optional final draft all parts of the "Prompt" are addressed, and the responses demonstrate attainment of the learning objectives in the "Progress Check" section of the assignment. The answers are mostly correct. The writing/work is clear. The explanation/work is reasonable, well-organized, and easy to follow. 3.5 ptsOne or more incorrectThe first submission demonstrates a good-faith effort to respond to a smaller portion of the Prompt. In the first draft or the optional final draft, one or more parts of the "Prompt" are not addressed or are incorrect. Or, answers do not demonstrate attainment of the learning objectives in the "Progress Check" section of the assignment. Or, answers are correct, but the writing/work is unclear, incorrect, or difficult to follow.0 ptsNo MarksThe first submission does not demonstrate a good-faith effort to address the Prompt. | 8 pts |
This criterion is linked to a Learning OutcomeStatCrunch | 2 ptsFull CreditStatCrunch graphs and/or tables are correct and embedded with your work.1 ptsPartial CreditStatCrunch graphs and/or tables are incorrect or missing important information. 0 ptsNo CreditNo StatCrunch information is embedded with your post. Or all StatCrunch work is incorrect. | 2 pts |
Total Points: 10