Mathematics Homework Help

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.

Learn by Doing

Some features of this activity may not work well on a cell phone or tablet. We highly recommend that you complete this activity on a computer.

Use the rubric at the bottom of this page as a guide for completing this assignment.

A list of StatCrunch directions is provided after the Prompt section below.

Directions

Submit your work:

• Carefully read all sections below (beginning with the Context section and ending with the Prompt section).
• Commit a good-faith effort to address all items in the Prompt section below. Please be sure to number your responses.
• If directed to do so, embed all required StatCrunch output in your initial submission. Please do not submit StatCrunch output as an attachment.

Complete your assigned peer reviews:

• After you submit your initial good-faith attempt, continue to the ANSWER(S) page and review your instructor’s response. But please do not submit your corrected work yet.
• Within three days after the due date, return to this assignment and complete your assigned peer reviews (directions (Links to an external site.)).

Submit your corrected work:

• We all from mistakes (our own and our classmates’ mistakes). So please do not immediately correct your own mistakes. If possible, wait until you receive feedback from at least one of your peers.
• If necessary, correct your work and resubmit the entire assignment – including any required StatCrunch output. Your instructor will only review and grade your most recent submission, so please do not refer to a previous submission.

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 smart phone (yes, no)

Data

If you have not done so already, download the cell-phonesdatafile. As always, if you are prompted to login, just close the prompt and continue with the download.

Upload the datafile into StatCrunch. Note: the symbol * in the spreadsheet indicates a missing value; this means that the associated individual did not answer the question.

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.

1. 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.)
2. StatCrunch uses a normal model to estimate the P-value probability. Verify that normality conditions are met.
3. Use StatCrunch to conduct the hypothesis test. (directions)
   Copy and paste the results (the StatCrunch output window) into your initial post.
4. Give your P-value and interpret its meaning as a conditional probability.
5. State a conclusion that answers the research question. Use a significance level of 5%. (Your answer should include the P-value and reference the population and the variable Cell.)

List of StatCrunch Directions

Each link will open in a new window. To return to this discussion, either close the new tab or select the tab for this discussion.

• Purchase StatCrunch (You only need to do this once.)
• Open StatCrunch
• Download Excel Data File
• Upload Excel Data File to StatCrunch
• Download StatCrunch Output Window (no screenshots; please use these directions)
• Upload Files into Your Stat-Class Folder in Canvas
• Hypothesis Test for a Population Proportion
• Copy & Paste a StatCrunch Table

Here is a PDF document with all StatCrunch directions (Links to an external site.).

Rubric

Peer Reviewed Assignment w/ StatCrunch

Peer Reviewed Assignment w/ StatCrunch

Criteria	Ratings	Pts
This criterion is linked to a Learning OutcomeAddressing the Prompt	6 pts Full Marks All parts of the Prompt are addressed. Answers are correct. Statistical vocabulary is used appropriately. Writing is clear and thought process is easy to follow. 4 pts Partial Credit Some parts of the prompt are not addressed, are incorrect, or are unclear. 0 pts No Marks The prompt is not addressed.	6 pts
This criterion is linked to a Learning OutcomeStatCrunch Data	2 pts Full Marks Appropriate StatCrunch graphs and/or tables are provided as directed. 1 pts Partial Credit StatCrunch graphs and tables are inappropriate or missing important information. 0 pts No Marks No StatCrunch information is provided.	2 pts
This criterion is linked to a Learning OutcomeIndividual Penalty	0 pts No individual penalty -1 pts Individual penalty. Please see the instructor comments for more information.	0 pts
This criterion is linked to a Learning OutcomePeer Reviews	2 pts Full Marks You completed all assigned peer reviews (maximum of 2). For each peer review, the points you assigned in the rubric are appropriate. You included comments explaining the score you posted in the rubric. If you deducted points in the rubric, your comments explain what the author needs to do to earn a higher grade when the teacher grades the assignment. 1 pts Partial Credit Committed a good-faith effort to provide a high-quality peer review, but many necessary instructive comments are missing. 0 pts No Marks No peer review provided or the comments are not instructive.	2 pts
Total Points: 10