A company supplying candy to school vending machines needs to know about candy preferences of middle school and high school age students. A random sample of 400 students was taken. The company wants to know if there is any relationship between the candy choices and the age of students. After performing a chi-square test of independence, the chi-square test statistic = 24.68. The appropriate critical value for df and desired alpha level = 11.34.
Is there sufficient evidence to reject the null hypothesis? Explain.

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

The chi-square test statistic = 24.68.

The critical value for df = 11.34.

Since the calculated value of the chi square  falls in the critical region it is concluded that the two variables are dependent.

1) The null and alternative hypotheses are

H0: candy preferences of  students is independent of age.

Ha: candy preferences of  students is  not independent of age.

As the calculated value χ² = 24.68 lies in the critical region  χ² ≥χ² =11.34, null hypothesis is rejected.

Therefore, we conclude that there is not enough evidence to accept the null hypothesis .


Related Questions

What's the inches equivalent of 63.5 millimeters? A. 2.5, B. 24, C. 3.2. D 31

Answers

Answer: A

Step-by-step explanation: 2.5 inches = 63.5 millimeters

HELPPP ASPPO!!
4x -y=6
-4x +y =8
which statement correctly describes the system of equations

Answers

The equation system is appropriately described by the formula 4x - y=6.A mathematical formula known as an equation combines two assertions .

what is equations ?

A mathematical formula known as an equation combines two assertions using the equal sign (=) to denote equivalence. The terms 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14, for example. Mathematical equations are used to express the relationship between two phrases on either side of a letter. In most cases, the symbol serves as the sole variable. a good example is 2x - 4 = 2.

given

Graphing, substitution, and elimination are the three techniques used to solve systems of equations.

By graphing the given equations, you can easily solve a system by finding the point(s) where they all cross.

The values of the variables you are solving for will be provided by the coordinate of this point.

The equation system is appropriately described by the formula 4x - y=6.

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help pls no li is I'll give you briliantest pls help pls pls pls pls pls pls pls pls pls pls​

Answers

Answer:

40.5

I hope u get a good mark glll

Step-by-step explanation:

Can someone help with this? Please be right

Answers

Answer:

  See attached

Step-by-step explanation:

You want various combinations of the functions g(a) = -3a+1 and h(a) = 3a³ +4a.

g/h

The functions have no common factors, so their ratio leaves the function expressions unchanged:

  [tex]\dfrac{g(a)}{h(a)}=\boxed{\dfrac{-3a+1}{3a^3+4a}}[/tex]

h+g

The like terms are combined when the functions are added.

  [tex]h(a)+g(a)=(3a^3+4a)+(-3a+1)=3a^3+(4-3)a+1\\\\=\boxed{3a^3+a+1}[/tex]

g-h

Similarly, the like terms are combined when the functions are subtracted.

  [tex]g(a)-h(a)=(-3a+1)-(3a^3+4a)=-3a^3+(-3-4)a+1\\\\=\boxed{-3a^3-7a+1}[/tex]

g·h

The product is found the way products are usually found. Each term of one of the factors is multiplied by each term of the other factor, and these products are summed. You can think of it as repeated application of the distributive property.

  [tex]g(a)\cdot h(a)=(-3a+1)(3a^3+4a)=-3a(3a^3+4a)+1(3a^3+4a)\\\\=-9a^4-12a^2+3a^3+4a\\\\=\boxed{-9a^4+3a^3-12a^2+4a}[/tex]

Determine the value of mAB in the following diagram

is it 110 or 20????
please please don't tell me to click a link I will report you

Answers

The answer to this question is 110

N is an integer -1 < n < 4 list the possible values of n

Answers

Answer:

0 1 2 3

Step-by-step explanation:

Since n is an integer

We have n = { 0 1 2 3 }

Please answer the following answer, AND NO LINKS OR YOU WILL GET REPORTED

Answers

Answer:

Step-by-step explanation:

A. 39ft2

you draw a line at top of shape. that small rectangle area is 3ft2. the bigger rectangle area is 36ft2. 36+3= 39ft2

Answer:

[tex]\text{This is a fairly simple problem:}\text{Answer= }3*1+36=39ft^2[/tex]

A

. How many four letter patterns can be formed using the letters A, B, and C if letters may be repeated?

Answers

Answer:

24 patterns

Step-by-step explanation:

Given that four lettered patterns are to be formed using the three alphabets. Since letters may be repeated, then;

4[tex]P_{3}[/tex] = [tex]\frac{4!}{(4 - 3)!}[/tex]

      = [tex]\frac{4 x 3 x 2!}{1!}[/tex]

     = 4 x 3 x 2

     = 24

4[tex]P_{3}[/tex] = 24

Therefore, 24 four letter patterns can be formed when the given letters are repeated.

The points obtained by students of a class in a test are normally distributed with a mean of 60 points and a standard
deviation of 5 points.

About what percent of students have scored less than 45 points?

0.15
2.5
15.5
34

Answers

Answer:

0.135%

Step-by-step explanation:

Given :

Mean, m = 60

Standard deviation, σ = 5

x = 45

The Zscore = (x - m) / σ

Z = (45 - 60) / 5 = - 15 / 5 = - 3

P(Z < - 3) = 0.0013499

0.0013499 * 100%

= 0.13499%

Only about 0.135% scored below 45

The residual value of the car is estimated to be $13,650. The lease has no termination fees or charges. If you decide to purchase, your bank requires a down payment of $3,800 and will finance the balance with a 10.25% APR loan for 36 months. The sales tax in your state is 6.5%, and the tag and title charges are $75. The opportunity cost is the interest your down payment could have earned if you didn’t purchase the vehicle. Currently, your money earns 4.5% in a savings account.

Answers

I dont know but i do know that two plus two is fish

An algebraic expression 2x² + 2xy is trinomial algebraic expression true or false​

Answers

Answer:

False

Step-by-step explanation:

right!!

1. What property could you use to show that these two triangles are congruent? QRP XWY​

Answers

The property that could be used to determine that the triangles are congruent is the SSA congruent theorem

How to determine the congruent property

From the question, we have the following parameters that can be used in our computation:

Triangles = QRP and XWY​

On the triangles, we can see that:

Two corresponding sides on both triangles are marked with I and IIThe triangles have a pair of corresponding angles

This means that we make use of the SSA congruent theorem

The SSA congruent theorem implies that  if two sides and an angle not included between them are respectively equal to two sides and an angle of the other than the two triangles are equal.

In this case, we have

Congruent sides: RQ and HG & PR and HF

Congruent angles: Angles Q and G

Hence, the additional information on the congruency of the triangles is the SSA theorem

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Evaluate the expressions 56 with a variable of -1

Answers

Answer:

The expression 56 with a variable of -1 is not well defined. The term 56 is a constant number, and the variable of -1 is also a constant. Therefore there is nothing to evaluate.

Step-by-step explanation:

If you want to evaluate the expression 56*(-1) it would give -56 as output because -1 is a scalar and multiplying with a scalar will change the sign of the constant 56 but it won't change its value.

In other words, to evaluate an expression, it needs to have a mathematical operation or function, operands, and/or variables that can be replaced with values or expressions. Without any operation, there's nothing to evaluate.

I REALLY NEED HELP!!!! ASAP!!! WORTH 50 POINTS!!!!!!

Answers

Because one tablet is 1/40 grams, half a tablet is 1/80 grams, together that adds up to 3/80 grams of vitamin C

two angles add up to 180 if and only if they are supplementary

Answers

Answer:

  True

Step-by-step explanation:

You want to know if it is true or false that "two angles add up to 180° if and only if they are supplementary."

Supplementary angles

Two supplementary angles have a sum of 180°. That is the definition of supplementary angles. The offered statement is True.

ANSWER ASAP PLS <3
20 points !
Which expression matches the graph?

Answers

Answer: the answer is b?

hope this helps

What is the volume of the rectangular prism shown below?





A. 476 in³
B. 4,760 in³
C. 1,700 in³
D. 340 in³

Answers

Answer:

B. 4760 in³

Step-by-step explanation:

V= l×w×h

=34×10×14

=4760 in³

Find the value of x that will make A||B

Answers

Answer:

the value of x that will make A||B is 4

The average basketball has a diameter of 9.5 inches. What is the volume of an average basketball?

Answers

the formula for volume of sphere is 4/3||r^3

diameter=2radius

in the formula we need to have radius but we have been given diameter so we convert diameter to radius

d=2r

r=d/2

9.5÷2

4.75

calculate the area of a circle with a diameter of 0, 8m​

Answers

Answer:

50.24=4squared times pie

Step-by-step explanation:

Answer:

The area of a circle with a diameter of 0.8 meters is approximately 0.50 [tex]m^2[/tex].

Step-by-step explanation:

Since the diameter of the circle is 0.8 meters, that means the radius of the circle would be 0.4 meters. The area of a circle can be found by the formula [tex]\pi r^2[/tex], where [tex]r[/tex] represents the radius of the circle. In this case, the area would be [tex]0.4^2*\pi[/tex] = [tex]0.16 * \pi[/tex] ≈ 0.50 [tex]m^2[/tex].

What does this statement mean? The probability of drawing a brown sock from a drawer of
socks is 0.

Answers

Answer:

there are no brown socks

Step-by-step explanation:

there is zero possibility of pulling a brown sock from the drawer fro this to be possible there would have to be no brown socks

If c = d, then a + c = d + a true or false​

Answers

Answer:

True

Step-by-step explanation:

First, you need to subtract a then that would make a 0

Answer: true

Step-by-step explanation: c and d are the same, so a+c and a+d will be the same

A line has a slope of 3/8 and passes through the point (15.2,-7)

The equation of the line in point-slope form is???
ANSWERS↓↓

Answers

Considering the definition of a line, the correct answer is option A: the equation of the line in point-slope form is y + 7= 3/8(x- 15.2)

Linear equation

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

The point-slope form of an equation of a line is written as y-y₁=m(x-x₁)

where:

m is the slope.(x₁, y₁) are the coordinates of the point.Equation of a line in this case

In this case, you know:

A line has a slope of 3/8.The line passes through the point (15.2,-7).

The point-slope form of the line is written as:

y- (-7)= 3/8(x- 15.2)

y + 7= 3/8(x- 15.2)

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Compute the MIRR statistic for project I if the appropriate cost of capital is 11 percent.
Cash flow -12,000, 5830, 4680, 2,500

Answers

The MIRR statistic for the project I given the cost of capital and the reinvestment rate, is 7. 43 %.

How to find the MIRR statistic ?

A monetary indicator of an investment's allure is the modified internal rate of return or MIRR. Ranking equivalent alternative investments is done in capital budgeting.

You can use a spreadsheet to find the MIRR by first ordering the cash flows as shown in the attached image. Then use the = MIRR function.

The cost of capital is the finance charge which is 11 %. The reivestment rate will be the same as the finance charge if not given so it will be 11 % as well.

The MIRR is therefore 7 .43 %.

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I’ll give brainiest whoever answers this

Answers

Answer:

about 75.36

Step-by-step explanation:

we know the radius of the base (circle) is 2 since 4/2 is 2.

Area of cylinder is height times area of base

6*4π=24π

You round π as 3.14

so 3.14*24= 75.36

Answer:

[tex] 75.4 \: {cm}^{3} [/tex]

Step-by-step explanation:

Height of the cylinder h = 6 cm

Diameter d = 4 cm

Radius r = 4/2 = 2 cm

[tex]V_{cylinder} = \pi {r}^{2} h \\ \\ = 3.14 \times {(2)}^{2} \times 6 \\ \\ = 3.14 \times 4 \times 6 \\ \\ = 3.14 \times 24 \\ \\ = 75.36 \\ \\ = 75.4 \: {cm}^{3} [/tex]

Solve the system by substitution

-8x+y=-9
y=7

Answers

In point for (2,7) and in Equation form x=2 y=7

There are a total of 32 books and calculators on a table. The ratio of the number of books to the
number of calculators is 5: 3. How many calculators are on the table?
A. 3
B. 12
C. 20
D. 24

Answers

Answer:

B. 12

Step-by-step explanation:

Your ratio of 5:3 means that the ratio includes 8 objects (5+3). If you multiply the whole ratio by 4, then you have 32 objects on your table. Multiplying your ratio by 4 gives you 5*4 : 3*4 which is 20:12. and since 20 is your amount of books and 12 is your amount of calculators, you have 12 calculators on your table.

Please help thank you

Answers

Answer:

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Step-by-step explanation:

if 6p = 120 what is p

Answers

Answer:

p = 20

Step-by-step explanation:

120 divided by 6 would = 20

Answer: p = 20

Step-by-step explanation:

120/6=20

6x20=120

Which of the following functions describes the graph of g(x)? (5 points)

Rational function with one piece decreasing from the left asymptotic to the line y equals 2 and going through a hole at the point negative 2 comma eight-fifths and going down through the point 2 comma 0 asymptotic to the line x equals 3 and another piece decreasing from the left asymptotic to the line x equals 3 and going through the point 5 comma 3 going up to the right asymptotic to the line y equals 2
g of x is equal to the quantity 2 x squared minus 8 end quantity over the quantity x squared minus x minus 6 end quantity
g of x is equal to the quantity 2 x squared minus 8 end quantity over the quantity x squared plus x minus 6 end quantity
g of x is equal to the quantity 2 x squared minus 8 end quantity over the quantity x squared plus 5 x plus 6 end quantity
g of x is equal to the quantity 2 x squared minus 8 end quantity over the quantity x squared minus 5 x plus 6 end quantity

Answers

The equation of rational function is (c) g(x) = (2x + 4)/(x + 1).

What is a function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that,

The function g(x).

The graph of a function never touches the x = 1 line

At x = -1 there will be a vertical asymptote.

At x = -2 there will be a horizontal asymptote.

The equation of the function g(x) will be:

g(x) = (2x + 4)/(x + 1)

The equation of rational function is g(x) = (2x + 4)/(x + 1)

Therefore,  g(x) = (2x + 4)/(x + 1) is correct.

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