## Description

### 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-phones* datafile. 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

The *cell-phone* datafile is available in the *Data* section below.

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 your initial post. - 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%. (Your answer should include the P-value and reference the population and the variable
*Cell*.)

## Explanation & Answer

take a look

Null hypothesis: The proportion of voters who own a smartphone at this university is 0.80

𝐻0 : 𝑝 = 0.80

Alternative hypothesis: The proportion of voters who own a smartphone at this universi...