1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rufina [12.5K]
3 years ago
9

Does going to a private university increase the chance that a student will graduate with student loan debt? A national poll by t

he Institute for College Access and Success showed that in 69% of college graduates from public and nonprofit colleges in 2013 had student loan debt. A researcher wanted to see if there was a significant increase in the proportion of student loan debt for public and nonprofit colleges in 2014. Suppose that the researcher surveyed 1500 graduates of public and nonprofit universities and found that 71% of graduates had student loan debt in 2014. Let p be the proportion of all graduates of public nonprofit universities that graduated with student loan debt. What are the appropriate null and alternative hypotheses for this research question?
A. H0: p = 0.69 Ha: p ≠ 0.69



B. H0: p = 0.69 Ha: p > 0.69



C. H0: p = 0.71 Ha: p ≠ 0.71



D. H0: μ = 0.69 Ha: μ > 0.69
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
5 0

Answer:

Null hypothesis:p \leq 0.69  

Alternative hypothesis:p > 0.69  

Step-by-step explanation:

1) Data given and notation

n=1500 represent the random sample taken

X represent the number of graduates that had student loan debt in 2014

\hat p=0.71 estimated proportion of adults that said that it is morally wrong to not report all income on tax returns

p_o=0.69 is the value that we want to test

\alpha represent the significance level  

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that if there was a significant increase in the proportion of student loan debt for public and nonprofit colleges in 2014 respect to the value of 2013.:  

Null hypothesis:p \leq 0.69  

Alternative hypothesis:p > 0.69  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.71 -0.69}{\sqrt{\frac{0.69(1-0.69)}{1500}}}=1.675  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level assumed is \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(Z>1.675)=0.047  

If we compare the p value obtained and using the significance level assumed \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults that said that it is morally wrong to not report all income on tax returns  is not significantly higher than 0.69.  

You might be interested in
What is the value of x?<br> O 2<br> 03<br> 06<br> 07<br> "Е
Svet_ta [14]
Ima pretty sure it’s 06
6 0
2 years ago
Write down the value of the 7 in the number 5709.​
Dovator [93]

Answer:

700

Step-by-step explanation:

The 9 = 9

The 0 = 0

The 7 = 700

The 5 = 5000

8 0
3 years ago
Percents-Starting with A, what is the order of letters for the scavenger hunt. Remember, you should be using all letters and whe
ad-work [718]

Answer:

yes

Step-by-step explanation:

yes

4 0
2 years ago
Which best explains why the equation 7x + 3 = 7x + 3 has infinitely many<br> solutions?
DochEvi [55]

Answer:

B

Step-by-step explanation:

both sides are equal to begin with so any x that you put in, will get multiplied by 7 and have 3 added to it

7 0
3 years ago
Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
Sergeu [11.5K]
Hello!

First of all we find the slope by dividing the difference of the y values by the difference of the x values as seen below.

\frac{-3-11}{1+3} = -\frac{14}{4} = \frac{7}{2}

The slope of our line is 7/2, or 3.5
-------------------------------------------------------------
Now we will put the slope and a point on our line into slope intercept form and solve for b. We will use (-3,11).

11=3.5(-3)+b
11=10.5+b
b=0.5

Our final equation is shown below.

y=3.5x+0.5

I hope this helps!


7 0
3 years ago
Read 2 more answers
Other questions:
  • A 16 kg bag of watermelon for $8 per kg
    6·1 answer
  • Sam is observing the velocity of a car at different times. After two hours, the velocity of the car is 50 km/h. After six hours,
    8·1 answer
  • Filo earns $8 per hour, but he buys lunch for $5. How much money does he have left after he works x number of hours a day? Write
    12·1 answer
  • What is the value of x?
    6·2 answers
  • C-1=8<br>solve each equation. check your solution​
    15·2 answers
  • find the simple interest and amount when principal is equals to rupees 1500 rate is equals to 12% per annum and time will be thr
    14·1 answer
  • In triangle ABC,the measure of angle A is 78° and the measure of angle B is 35° What is the measure of angle C
    7·1 answer
  • Write the equation x + 3y = -4 in slope-intercept form, and then find the slope and y-intercept.
    15·1 answer
  • Lamont is making a blue print of his shoebox. He made a drawing of how he would like to make the box. If the drawing is 4 inches
    6·1 answer
  • A bowl contains 6 green grapes, 10 red grapes, and 8 black grapes. Which of the following is the correct
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!