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.
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. Be sure to number each answer to which
question it answers.
1. State your hypotheses in symbolic form and in words. (The following should be clear in your
the population of interest and the meaning of the proportion pin terms of the variable
Cell.) You do not need to write the notation, you can just write:
o Null:
o Alternate:

The null hypothesis is represemted as

Null: p ≥ 0.80

The alternative hypothesis is given as

Alternative: p < 0.80

Step-by-step explanation:

For hypothesis testing, the first thing to define is the null and alternative hypothesis.

In hypothesis testing, especially one comparing two sets of data, the null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test. It usually maintains that, with random chance responsible for the outcome or results of any experimental study/hypothesis testing, its statement is true.

The alternative hypothesis usually confirms the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test. It usually maintains that significant factors other than random chance, affect the outcome or results of the experimental study/hypothesis testing and result in its own statement.

For this question, the survey that involved comparison was the proportion of US students at the university that owned a smartphone and the proportion of college students in the US that own a smartphone (80%).

Specifically, we want to check if the proportionof smartphone owners at the university is lower than the overall proportion of smartphone owners amongst US college students (80%).

Hence,

The null hypothesis would be that there isn't significant evidence to conclude that the proportion of smartphone owners is lower at this university than the general proportion of smartphone owners amongst college students.

That is, the proportion of smartphone users at this university isn't lower than the proportion of college students in the U.S. that own a smartphone or the proportion of smartphone owners at this university is higher than or equal to the proportion of college students in the U.S. that own a smartphone.

The alternative hypothesis is then that there is significant evidence to conclude that the proportion of smartphone users at this university is lower than the proportion of college students in the U.S. that own a smartphone.

Mathematically,

The null hypothesis is represemted as

Null: p ≥ 0.80

The alternative hypothesis is given as

Alternative: p < 0.80

Hope this Helps!!!

points are handed out whenever you post answers.

brainliest answers are handed out by the person asking the question, so whether your answer is picked depends entirely on whether the asker bothers to pick

if you're asking about your rank, it depends on having a certain number of points and a certain number of brainliest answers. for example, at the time of this writing, i have 44338 points out of 15000 needed for the next (nearly triple the requirement! ) but i only have 24 out of 50 required brainliest answers. this number decays, meaning after a certain amount of time (i think about a month), the total number of brainliest answers you've earned doesn't count toward this total. (i've been stuck at the same rank for a long

the lesson to learn here is that you shouldn't worry about points or rank. chances are, no matter how good an answer you may provide, your efforts will go mostly unnoticed unless you focus on the newest/most active questions that get posted.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b