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Reptile [31]
3 years ago
9

It is widely reported that high school students spend an average of 7 hours per week working on homework. Miss Bonnar, a high sc

hool English teacher, questions this report. She believes the students at her high school spend more than 7 hours per week working on homework. She surveys a random sample of 95 students and plans to use the resulting data to conduct a hypothesis test. Suppose the p-value from this hypothesis test is 0.01. Which of the following is a correct interpretation of this p-value?
A. Approximately 1% of the students in the sample spend more than 7 hours per week working on homework.
B. The probability of obtaining a result at least as extreme as the one observed, if the null hypothesis is true, is 0.01.
C. The probability that the null hypothesis is true is 0.01.
D. The probability that the null hypothesis is false is 0.01.
E. If we assume to begin with that the null hypothesis is false, there is only a 1% chance we will reject that null hypothesis.
Mathematics
1 answer:
yulyashka [42]3 years ago
8 0

Answer:

B. The probability of obtaining a result at least as extreme as the one observed, if the null hypothesis is true, is 0.01.

Step-by-step explanation:

The answer choice B is in fact the definition of p-value.

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1.9^4 × 10 × 2.9 x 10^1
nlexa [21]

3779.309 is the answer....

4 0
1 year ago
Read 2 more answers
The profit function for a product is given by p(x)=-x^3+3x^2+900x-2100, where x is the number of units produced and sold and P i
nalin [4]

Answer:

x = 30 and x = 3 both solve the equation correctly. See work below.

Step-by-step explanation:

The very first step is to realize that p(x) is in hundreds of dollars and that the given number is not. 60000 is not in hundreds of dollars. It is in dollars. 60000 dollars = 60000/100 = 600 hundreds of dollars.

Make the polynomial = 600

-x^3+3x^2+900x-2100 = 600  Subtract 600 from both sides

-x^3+3x^2+900x-2100 - 600 = 0  Combine

-x^3+3x^2+900x- 2700 = 0           Group  the first and second term and the Thrid and fourth terms.

(-x^2 + 3x^2) + (900x - 2700) = 0  Bring out the common factors from both groups.

-x^2(x - 3) + 900(x - 3) = 0 Factor out x - 3 on both sides of the plus sign

(- x^2 + 900)(x - 3) = 0       Reverse -x^2 + 900 to  900 - x^2

(900 - x^2)(x - 3) = 0          factor (900 - x^2) using the difference of squares

(30 - x)(30 + x) (x - 3) = 0

The two answers that work are

30 - x = 0                           Solve

- x = - 30                            Divide by - 1

-x/-1 = -30/-1                       Combine                          

x  = 30

============

x - 3 = 0

x = 3

===========

There are two values that will work to give p(x) = 600. There is no way to account for why both values work.

The graph below confirms both answers.


3 0
3 years ago
tom has a cube a rectangular prism and a triangular prism. which of the shapes have more than 6 vertices?
Ierofanga [76]

Answer:

<h3>A cube</h3>

Step-by-step explanation:

Vertices of a solid shape is a point where 2 lines or edges of the shape intersects. If tom has a cube a rectangular prism and a triangular prism, then the cube has 8 vertices, a rectangular prism has 5 vertices (a rectangle has 4 vertices plus the point where all the lines coming from the vertices of the rectangle intersects).

Also, a triangular prism has 4 vertices(a triangle has 3 vertices plus the point where all the lines coming from the vertices of the triangle intersects)

Hence the only shape that has more than 6 vertices is a cube.

4 0
3 years ago
Select all quantities that are proportional to the diagonal length of a square.
horsena [70]

Answer:

B. Perimeter of a square and

C. Side length of a square​

Step-by-step explanation:

if n= side length of square then

  • Area of square is n^{2}
  • Perimeter of a square is 4×n
  • diagonal length of a square is \sqrt{2} × n

Thus,

Perimeter of square can be expressed as

2\sqrt{2}×diagonal length of a square

Side length of a square can be expressed as

\frac{1}{\sqrt{2} }×diagonal length of a square

but Area of square is

\frac{1}{\sqrt{2} }×n×diagonal length of a square

As a Result,  Area of square is <em>also dependent of the value n</em>, wheras in other cases it is <em>a proportion of diagonal length of a square</em>

5 0
3 years ago
I need help with 14 and 15
bekas [8.4K]

Answer:

14: 9 + 5 ℎ

15: − 1 6 + 9/ 9

Step-by-step explanation:

14 : ℎ ⋅ 5 + ( 9 )

5ℎ+ (9)

^^ Re-order terms so constants are on the left

5ℎ+ ⋅ 9 also 5 ℎ+9  then after this you would wanna re arange the terms so it would be 9 + 5 ℎ

7 0
2 years ago
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