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
VERY URGENT PLEASE HELP
ira [324]
Use the tutor app to help you he or she will help you for each problem.
6 0
3 years ago
​Find all roots: x^3 + 7x^2 + 12x = 0 <br> Show all work and check your answer.
Aliun [14]

The three roots of x^3 + 7x^2 + 12x = 0 is 0,-3 and -4

<u>Solution:</u>

We have been given a cubic polynomial.

x^{3}+7 x^{2}+12 x=0

We need to find the three roots of the given polynomial.

Since it is a cubic polynomial, we can start by taking ‘x’ common from the equation.

This gives us:

x^{3}+7 x^{2}+12 x=0

x\left(x^{2}+7 x+12\right)=0   ----- eqn 1

So, from the above eq1 we can find the first root of the polynomial, which will be:

x = 0

Now, we need to find the remaining two roots which are taken from the remaining part of the equation which is:

x^{2}+7 x+12=0

we have to use the quadratic equation to solve this polynomial. The quadratic formula is:

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Now, a = 1, b = 7 and c = 12

By substituting the values of a,b and c in the quadratic equation we get;

\begin{array}{l}{x=\frac{-7 \pm \sqrt{7^{2}-4 \times 1 \times 12}}{2 \times 1}} \\\\{x=\frac{-7 \pm \sqrt{1}}{2}}\end{array}

<em><u>Therefore, the two roots are:</u></em>

\begin{array}{l}{x=\frac{-7+\sqrt{1}}{2}=\frac{-7+1}{2}=\frac{-6}{2}} \\\\ {x=-3}\end{array}

And,

\begin{array}{c}{x=\frac{-7-\sqrt{1}}{2}} \\\\ {x=-4}\end{array}

Hence, the three roots of the given cubic polynomial is 0, -3 and -4

4 0
3 years ago
1.
Komok [63]

Answer:

Future amount (A) = $1,258.77 (Approx)

Step-by-step explanation:

Given:

Amount deposit (p) = $693

Rate of interest monthly (r) = 4.9% / 12 = 0.003833

Number of month (n) = 13 × 12 = 156

Find:

Future amount (A)

Computation:

A = p [1+r]^n \\\\ A = 693 [1+0.003833]^{156}\\\\ A= 693[1.8163]\\\\ A = 1258.77

Future amount (A) = $1,258.77 (Approx)

6 0
2 years ago
Alicia has a gold bracelet and a silver bracelet. She has a black ring, a blue ring, a brown ring, and a white ring. She also ha
Artist 52 [7]
This may not be the right answer but I do believe it is 16 different combinations
8 0
3 years ago
Destiny has 6 library books on her desk. One third of them are about animals. How many of Destiny’s library books are about anim
Marta_Voda [28]
| shade  |               |               |       Each rectangle stands for one third so shade 
|  this     |               |               |         only one rectangle.
|    one   |               |               |         And one rectangle has two books in it (you
|             |               |               |         divide 6 by 3 to get 2). 
|             |               |               |
|             |               |               |
|             |               |               |
3 0
3 years ago
Other questions:
  • Given the points (3, -1) and (-10, 9) find the slope.
    8·2 answers
  • Which expression is equivalent to –2(5x – 0.75)?
    7·2 answers
  • Y=x^2+14x+49 focus point
    9·1 answer
  • What is the total cost for an item that costs 26.50 and has a sales tax rate of 6%
    13·1 answer
  • Which one should I choose​ I'll give 12 points
    14·1 answer
  • Hannah’s favorite toy character is sold wearing one of many outfits. An outfit consists of one shirt, one pair of pants, and one
    15·1 answer
  • Someone help me please.. I need the slope, y intercept and x intercept
    11·1 answer
  • The graph shows the relationship between the distance a bicyclist travels and the time in hours.
    14·1 answer
  • Danny used the following table to write his equation :
    12·1 answer
  • PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!