An administrator at a local high school wants to investigate whether there is an association between the grade level of a student (either ninth, tenth, eleventh, or twelfth) and how the student commutes to school (either walks, bikes, takes the bus, receives a ride, or drives). After a chi-square test for association was conducted, the results indicated that the chi-square test statistic was 14.63 with a p-value of 0.2623. Which of the following is the correct interpretation of the p-value in the context of the test?

a. There is a 26.23 percent chance that grade level and how a student commutes to school are independent.
b. There is a 26.23 percent chance that there is no association between grade level and how a student commutes to school.
c. Assuming there is no association between a student's grade level and how the student commutes to school, there is a 26.23 percent chance of finding a test statistic that is 14.63 or larger.
d. Assuming that a student's grade level and the way the student commutes to school are dependent, there is a 26.23 percent chance of finding a test statistic that is 14.63 or larger.
e. Assuming that a student's grade level and the way the student commutes to school are dependent, there is a 26.23 percent chance of finding a test statistic that is 14.63 or smaller.

Answers

Answer 1

Answer:

c.

Step-by-step explanation:

The following is how the p-value should be interpreted:

The probability of getting the test statistics value at least as intense as it might have been acquired during the test, assuming the null hypothesis is true, is considered as the p-value.

Null hypothesis

[tex]\mathbf{H_o :}[/tex] A student's grade level has no bearing or association on how they commute to school.

Alternative hypothesis;

[tex]\mathbf{H_1: }[/tex] There is a link between a student's grade level and the way they get to school.

The test statistic's value is 14.63, and the p-value is 0.2636.

As a result, the p-value is interpreted as that of option c in the question.

Answer 2

Answer: C

Step-by-step explanation: Because the p value is less than 0.05 you know that your null hypothesis can be rejected and thus your alternative can have significant evidence to be proven. Thus you can eliminate answer choices B, and E. A and B can be rejected because your p value from your chi square test is telling you the likelihood of your chi square falling in a certain category of the graph.


Related Questions

A medical researcher wants to determine whether a drug changes the body's temperature. Seven test subjects are randomly selected, and the body temperature (in degrees Fahrenheit) of each is measured. The subjects are then given the drug and after 20 minutes, the body temperature of each is measured again. The results are listed below. At α=0.05, is there enough evidence to conclude that the drug reduces the body's temperature? Subject 1 2 3 4 5 6 7 Initial Temperature 103.4 102.5 101.1 103.4 102.9 100.2 100.9 Second temperature 99.2 98.4 98.2 99 98.6 99.7 97.8

Answers

Answer:

Step-by-step explanation:

-8(n-5)= -2(4n+11)

SOMEONE PLEASE SOLVE IT PLEASEEEE

Answers

use Photomath and then you can get your answer!

Answer:

Use papa math

2. Write the equation of the circle with a center at
(-2, -8) and a radius of v10.

A. (x + 2)^2 + (y + 8)^2 = 25
B. (x - 2)^2 + (y – 8)^2 = 10
C. (x + 2)^2 + (y + 8)^2 = 10
D. (x + 2)^2 + (y + 8)^2 = 100
E. (x - 2)^2 + (y - 3)^2 = 100

Answers

Answer:

C. [tex] (x +2) ^2 +(y+8)^2 =10 [/tex]

Step-by-step explanation:

Center of the circle (h, k) = (-2, - 8)

Radius [tex] r=\sqrt {10}[/tex]

Equation of circle in center radius form is given as:

[tex] (x - h) ^2 +(y-k) ^2 =r^2 [/tex]

Plugging the values of h, k and r in the above equation, we find:

[tex] [x - (- 2)] ^2 +[y-(-8) ]^2 =(\sqrt {10})^2 [/tex]

[tex] (x +2) ^2 +(y+8)^2 =10 [/tex]

James has a mass of 32.8 kg. Ricardo's mass is 8 3/4 kg more than James's. Winthorp's mass is 3.6 kg less than Ricardo's. What is the total mass of the three boys?

Answers

Answer:79.5

Step-by-step explanation:32.8+8.75=41.55 41.55-3.6=37.95 37.95+41.55+32.8=79.5

111.94 kg is the total mass of the three boys.

What is ratio?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. An equation with two ratios set equal to one another is called a percentage.

given, James has a mass of 32.8 kg. Ricardo's mass is 8 3/4 kg more than James's. Winthrop's mass is 3.6 kg less than Ricardo's.

Since Mass of James = 32.8 kg

thus Mass of Ricardo = [tex]8\frac{3}{4}[/tex] + 32.8 = 41.55kg

And Mass of Winthrop = 41.55 - 3.6 = 37.59kg

Sum of mass of all three boys  = 32.8 + 41.55+ 37.59

Sum of the mass of all three boys = 111.94 kg

Therefore, the Total mass of the three boys is 111.94 kg.

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What is the solution to the inequality x2 + 5x ≥ 6?

Answers

7x>6
.hopes it helps

Answer:

x ≤ –6 and x ≥ 1

Step-by-step explanation:

Linear parent function fis graphed on the grid.

Which graph best represents h(x) = -f(x) + 3?

Answers

It should be G, or the bottom left answer! I'm not sure about it but anyway I hope this helps!

Answer:option 2

Step-by-step explanation:

help fast please i’m bad with math

Answers

i dont know but i think either B or A

Answer:

FALSE, TRUE, FALSE, FALSE

Step-by-step explanation:

pi/2>2 - FALSE

3pi>9 - TRUE

2pi-1<5 - FALSE

pi+8<11 - FALSE

BRAINLIEST FOR CORRECT ANSWER ASAP

Answers

Answer:

A. 3x3x3x3 = 81 because you multiply 3 by itself 4 times

Answer:

it is 3×3×3×3=81 because it is said that

3 squared is 3×3 so I did the same tthing. hope it helps you good evening.

If x varies directly as y, find x when y = 8.
x = -4 when y = 10
X =

Answers

Answer:

9.6

Step-by-step explanation:

I think!

Write impossible, unlikely, as likely as not, likely, or certain. Then, tell whether the probability is 0,close to 0, 1/2, close to 1, or 1 Picking a red marble from 4 white marbles and 7 green marbles

Answers

Answer:

Step-by-step explanation:

Hi his figure is made up of unit cubes, each with a volume of 1 cubic unit.
What is the volume of the figure?
( photo is attached)
(Will give brainliest if you help)

Answers

Answer:

D. 100 cubic units

Step-by-step explanation:

There are 10 cubes in each layer (count at the top) and 10 layers (from top to bottom) in total. Multiply these to get volume.

10 x 10 =100

Answer:

B. 60 cubic units

Step-by-step explanation:

Formulas for a cube:

The volume of a cube:

V = a3

The surface area of a cube:

the area of each face (a x a) times 6 faces

S = 6a2

Face diagonal of a cube:

By the Pythagorean theorem, we know that

f2 = a2 + a2

Then f2 = 2a2

solving for f we get

f = a√2

Diagonal of the solid cube:

Again, by the Pythagorean theorem, we know that

d2 = a2 + f2

substituting f into this equation we get

d2 = a2 + (a√2)2 = a2 + 2a2 = 3a2

solving for d we get

d = a√3

Pls help!!!! It is khan academy and I’m giving 15 points!

Answers

The inequality would be in the direction of the arrow
The arrow is <—— so the inequality is <
The circle is colored so -3 in including making it less than or equal
x<-3
_

Or B

Stacy started with $40 In a savings account that earns 5% annually. How much interest will she get in one year? ​

Answers

Answer:

$2

Step-by-step explanation:

She procures 5% of $40 every year. To discover the amount she makes in 1 year, increase 5% and 40,40*5%.Convert 5% to a decimal by isolating by 100.5%/100=0.05  40*0.05=2

Write an equation that you will use to solve for x. Solve for x.

Answers

Answer:

Step-by-step explanation:

7x + 5 = 215

Tell whether the angles are complementary or supplementary. Then find the value of X​

Answers

the answer is x = 5!!!!

What is the slope of (2,3) and (5,-3)

Answers

Answer:

-2

Explanation:

Slope formula:

y2 - y1 ÷ x2 - x1

-3 - 3 = -6

5 - 2 = 3

-6 ÷ 3 = -2

Find the missing side. Round
to the nearest tenth.
17
y
44°
Х
y=[?]

Answers

Answer:

The answer is 11.8

Step-by-step explanation:

The value of x and y is 12.2 and 11.8 respectively.

What is tangent of an angle?

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

What is sine of an angle?

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

According to the given question.

We have a right angled triangle.

In which one angle is 44 degrees and hypotenuse is 17 units.

Here,

With respect to angle 44 degrees the adjacent side is x and the opposite side is y.

Therefore,

Sine of 44 degrees is given by

[tex]sin44^{o} = \frac{opposite\ side }{Hypotenuse}[/tex]

[tex]\implies sin44^{o} = \frac{y }{17}[/tex]

[tex]\implies 0.6946 = \frac{y}{17}[/tex]

[tex]\implies 0.6946 \times 17 = y[/tex]

[tex]\implies y = 11.80[/tex]

[tex]\implies y = 11.8[/tex]

And, tangent of 44 degrees is give by

[tex]tan 44^{o} = \frac{opposite \ side }{adjacent \ side }[/tex]

[tex]\implies tan44^{o} = \frac{y}{x}[/tex]

[tex]\implies tan44^{o} = \frac{11.8}{x}[/tex]

[tex]\implies 0.9657 = \frac{11.8}{x}[/tex]

[tex]\implies x = \frac{11.8}{0.9657}[/tex]

[tex]\implies x = 12.22[/tex]

[tex]\implies x = 12.2[/tex]

Therefore, the value of x and y is 12.2 and 11.8 respectively.

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Help mehhhh plz ASAP

Answers

Answer:75

Step-by-step explanation:2 1/2 is equal to 5 halves. If each half is equal to 15 then all you do is multiply 15 by 5

please help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: -7

Step-by-step explanation: -7 x -7 equals 49

Find the total surface area: ​

Answers

Answer:

612 cm²

Step-by-step explanation:

Total surface area = area of all the nets in that make up the shape

✔️There are 2 equal rectangles of the following dimensions:

L = 10 cm

W = 4 cm

Area = 2(10*4) = 80 cm²

✔️There are 2 equal rectangles of the following dimensions:

L = 10 cm

W = 17 cm

Area = 2(10*17) = 340 cm²

✔️There are 2 equal rectangles of the following dimensions:

L = 4 cm

W = 17 cm

Area = 2(17*4) = 136 cm²

✅Total surface area = 80 + 340 + 136 = 612 cm²

How many kilometers does Saturn travel in its orbit in one hour? ​

Answers

Answer:

Hey!! I found this online for you :)

Step-by-step explanation:

Saturn revolves or orbits around the Sun once every 29.4 Earth years, or once every 10,755.7 Earth days. Saturn travels at an average speed of 21,637 miles per hour or 34,821 kilometers per hour in its orbit around the Sun.

Hope this helps!

Have a nice day <3

If an object moves in uniform circular motion in a circle of radius R = 2.00 meters, and the object takes 5.00 seconds to complete ten revolutions, calculate the centripetal acceleration. ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements. a= _____ m/s2 39.4 m/s 2 100. m/s 2 158 m/s 2 50.2 m/s 2

Answers

The centripetal acceleration of the object is .
Explanation:
We have,
Radius of a circular path is 2 m
It takes 5 seconds to complete 10 revolutions. It means its angular velocity is :

The centripetal acceleration of the object is given by :

So, the centripetal acceleration of the object is .

PLEASE HELPPP! I'LL GIVE BRAINLEST​

Answers

2 and 4
The number 3,124 when divided by 2 gives you 1,562, and when 3,124 is divided by 4 it gives you 781.

how many 5/8 pound bags does it take to get 16 pounds of soil?

Answers

Answer:

10

Step-by-step explanation:

25.6 bags or 25 3/5 bags




Plz help me well mark brainliest if correct!

Answers

Answer:

its C

Step-by-step explanation:

A ship left at the port at 9:00 p.m. and arrived at the next port at 5:00 a.m.
the next day. The distance between the 2 ports was 200 km.
Find the average
speed of the ship.
show solution​

Answers

Answer:

25km/h

Step-by-step explanation:

It would be helpful to understand the 24 hour clock in this case so you don't get confused by the AM and PM. For reference, 5 AM is technically 17AM, since 5 + 12 = 17.

The ship departed at 9pm, subtract that from 17 and you'll get 8 hours.

17 - 9 = 8

We know that there are 8 hours total, and since the ship traveled 200km, we set up a fraction, which is 8hr/200km. Since we want the average speed, we'll go by km/hr. To do this, we need to set the hrs to 1.

8/x = 1

x = 8

200/8 = 25

Your answer is 25km/hr

Use the distributive property to write the sum of the product. 5z-10

Answers

Answer:

5(z-2)

Step-by-step explanation:

A high school student working a part time as a cook

Answers

Answer:

Is there supposed to be a picture???

Step-by-step explanation:

Ummmm what’s the question???

Which line has a slope of 0?

Answers

y= -10
there is no x value so there is no slope, -10 is the y-intercept

Answer:

y =-10

Step-by-step explanation:

because there is no value of x so the slope of y is-10

What is the probability of choosing a red card or a face card from a deck of cards? Type your answer as a fraction.

Answers

The probability of choosing a red card or a face card from a deck of cards will be 19/26.

What is probability?

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

Then the probability of choosing a red card or a face card from a deck of cards will be

We know that there are 52 cards in a deck of cards.

Then the total event will be

Total events = 52

And we know that a face card means a king, queen, or jack.

And the favorable event will be

Favorable event of face card = 12

Favorable event of red card = 26

Then the probability will be

P = 12 / 52 + 26 / 52

P = 3 / 13 + 1 / 2

P = 19 / 26

More about the probability link is given below.

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