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
Basile [38]
3 years ago
8

When we test Upper H 0​: muequals0 against Upper H Subscript a​: mugreater than​0, we get a​ P-value of 0.03. a. What would the

decision be for a significance level of 0.10​? Interpret in context. b. If the decision in​ (a) is in​ error, what type of error is​ it? c. Suppose the significance level were instead 0.01. What decision would you​ make, and if it is in​ error, what type of error is​ it?
Mathematics
1 answer:
Anastasy [175]3 years ago
3 0

Answer:

(a) The null hypothesis will be rejected.

(b) Type I error

(c) The null hypothesis will not be rejected. The error is type II error.

Step-by-step explanation:

The hypothesis provided is:

H_{0}: \mu = 0\\ H_{a} : \mu > 0

The p-value of the test obtained is 0.03

(a)

Decision rule for hypothesis testing, based on p-value, states that if the p-value is less than the significance level (α) then the null hypothesis is rejected and vice versa.

The significance level is α = 0.10

Then,

p-value = 0.03 < \alpha  = 0.10

Thus, the null hypothesis will be rejected.

Conclusion:

The null hypothesis is rejected stating that the value of μ is more than 0.

(b)

If the decision in​ (a) is an​ error, i.e. the null hypothesis is rejected when in fact it is true, this type of error is known as type I error.

(c)

The significance level is α = 0.01

Then,

p-value = 0.03 > \alpha  = 0.01

Thus, the null hypothesis will not be rejected.

Conclusion:

The null hypothesis was not rejected stating that the value of μ is 0.

If this decision is an error, i.e. the null hypothesis was not rejected when in fact it is false, this type of error is known as type II error.

You might be interested in
I need help with this
BigorU [14]

Answer: (x, -y)

Step-by-step explanation:

3 0
3 years ago
Is -61 - 1 positive or negative?
BabaBlast [244]
The answer is Negative -62
3 0
3 years ago
What is the anwser<br>-4x=-20
faust18 [17]

-4x=-20. divide -4 by both sides. x=-4/-20.

The answer is x=5

4 0
3 years ago
Read 2 more answers
3. Amy raises $58.75 to participate in a walk-a-thon.
Leviafan [203]
Oscar raises 246$ because 58.75 + 23.25 is82 82 x 3 is 246
4 0
2 years ago
3 math problem please show step by step
Klio2033 [76]

Answer:

See picture. Hope this helps!

6 0
3 years ago
Read 2 more answers
Other questions:
  • A football team loses a total of 12 yards in 4 plays. On average how many yards did the team move the ball per play?
    11·1 answer
  • Solve for x: 3(x + 1) = −2(x − 1) − 4.
    14·1 answer
  • Write 1/10 in hundredth,fraction,decimal
    11·1 answer
  • Why is 3x 1/10 less than 3x10
    5·2 answers
  • Please help me! Do any one of them, as long as the answer is correct!
    13·1 answer
  • Our math team had m students last year, but this year it has already n students! By what percent did the number of students grow
    14·1 answer
  • Multiple Choice
    5·2 answers
  • Work out the area of this circle. Give you answer in terms of pi and state it’s units
    5·1 answer
  • An experiment consists of ranomly drawing three cards in succession without replacement from a standard deck of 52 cards. Let A
    7·1 answer
  • Complete the paragraph proof.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!