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
Katena32 [7]
3 years ago
13

A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is

less than 0.20. In a sample of 200 graduates, 30 students have a GPA of 3.00 or below. The value of the test statistic and its associated p-value are ________.
a. In testing the university's belief, how does on define the population parameter of interest?
b. The value of the test statistics and its associated p-value are?
c. In testing the university's belief, the appropriate hypothesis are?
d. At a 5% significance level, the decision is to?
Mathematics
1 answer:
stealth61 [152]3 years ago
5 0

Answer:

a) On this case we are interested on the population proportion of students that have a GPA of 3.00 or below.

b) z=\frac{0.15 -0.2}{\sqrt{\frac{0.2(1-0.2)}{200}}}=-1.77  

p_v =P(z  

c) Null hypothesis:p\geq 0.2  

Alternative hypothesis:p  

d) The significance level provided is \alpha=0.05. If we compare the  p value obtained and the significance level given \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 population proportion of students that have a GPA of 3.00 or below is significantly lower than 0.2.  

Step-by-step explanation:

Data given and notation n  

n=200 represent the random sample taken

X=30 represent the  students with a GPA of 3.00 or below.

\hat p=\frac{30}{200}=0.15 estimated proportion of  students with a GPA of 3.00 or below.  

p_o=0.2 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)  

a. In testing the university's belief, how does on define the population parameter of interest?

On this case we are interested on the population proportion of students that have a GPA of 3.00 or below.

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion of graduates with GPA of 3.00 or below is less than 0.2.:  

Null hypothesis:p\geq 0.2  

Alternative hypothesis:p  

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.

b. The value of the test statistics and its associated p-value are?

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

z=\frac{0.15 -0.2}{\sqrt{\frac{0.2(1-0.2)}{200}}}=-1.77  

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.  

Since is a one left tailed test the p value would be:  

p_v =P(z  

c. In testing the university's belief, the appropriate hypothesis are?

Null hypothesis:p\geq 0.2  

Alternative hypothesis:p  

d. At a 5% significance level, the decision is to?

The significance level provided is \alpha=0.05. If we compare the  p value obtained and the significance level given \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 population proportion of students that have a GPA of 3.00 or below is significantly lower than 0.2.  

You might be interested in
There are 36 students in mrs kelder math class. 15 students revived a 100% on their test.about what percent of mrs kelder studen
Veronika [31]

Answer:

Step-by-step explanation:

Students in class who got 100% / All students in class

15 / 36 = .4166666....

Multiply by 100 to get a percentage.

.4166666.... * 100 = 41.66666....%

OR 41.7% with rounding

3 0
2 years ago
Read 2 more answers
Write a word problem that can be solved using 1 3/4 divided by 1/2
ANEK [815]
Micheal has 1 3/4 bowls of cereal. Micheal wants to give half to his sister, Mary, how much should he give her?
7 0
3 years ago
The lengths (in miles) of two highways after t years of construction can be modeled by 20t + 150 and 15t+ 200. What is the diffe
Mashutka [201]

Step-by-step explanation:

13.5 is the difference of the length of the roads

3 0
3 years ago
$0.63 + _______ = $1.00*
Simora [160]
1-.63=.37. so $0.63+$0.37=$1.00
5 0
3 years ago
Read 2 more answers
Which object has the mass of about one kilogram?
stira [4]

Answer:

A dictionary has the mass of about 1 killo so the book!

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Calculate the distance between the points J=(-3, 2) and K=(2, -2) in the coordinate plane.
    8·1 answer
  • What is Convert 32º 15’ 45” to decimal
    10·2 answers
  • WILL GIVE BRIANLIEST!!!!!!!!!!!!!!!!!!!!! picture down below ↓↓↓↓↓↓
    7·1 answer
  • On a coordinate plane, a line with a 90-degree angle crosses the y-axis at (0, 1), the x-axis at (1, 0), turns at (3, negative 2
    12·2 answers
  • Find the area of the problem.
    8·1 answer
  • How do I do this ? I have 120 degrees but I need to solve for x
    14·1 answer
  • What is <br>3/10x9 please help me
    14·2 answers
  • Write down a simplified expression for the perimeter of this triangle:
    11·1 answer
  • What is the solution to this equation?
    8·2 answers
  • Solve for x where xe(0,2pi). state exact answers.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!