Students in a high school statistics class wanted to see if the distribution of the colors of a popular candy was different in the bags for different types of candies the company manufactures. The students purchased several large bags of regular candies, tropical-flavored candies, and sour-flavored candies. For each type of candy, the students took a random sample of 100 candies and recorded how many of each color (red, green, yellow, or blue) were in the sample. The students verified the conditions for inference and calculated a chi-square test statistic of 12.59 with a corresponding p-value of 0.05. Which of the following is the correct interpretation of the p-value in the context of the test?
A The hypothesis test has a significance level of a = 0.05.
B There is a 5 percent chance that the distribution of colors is different for the different types of candies.
C There is a 5 percent chance that the distribution of colors is the same for the different types of candies.
D Assuming that the distribution of colors for the different types of candies is the same, there is a 5 percent chance of finding a test statistic of 12.59 or larger.
E Assuming that the distribution of colors for the different types of candies is different, there is a 5 percent chance of finding a test statistic of 12.59 or larger.

Answers

Answer 1

Answer:

C There is a 5 percent chance that the distribution of colors is the same for the different types of candies.

Step-by-step explanation:

The null hypothesis ; H0 : there is no difference in distribution of color for the different types of candies

Alternative hypothesis ; H1 : there is difference in the distribution of color for the different types of candies

When the Pvalue is < or = α ; we reject the null;

Here, the Pvalue and α = 0.05 ; hence, we reject the null.

A Pvalue of 0.05 means that there is only a 5% chance that the null is correct. That is ; There is only a 5 percent chance that the distribution of colors is the same for the different types of candies

Answer 2

Answer:

Assuming that the distribution of colors for the different types of candies is the same, there is a 5 percent chance of finding a test statistic of 12.59 or larger.

Step-by-step explanation:

The null hypothesis is that there is no difference in the distribution of colors. Under the assumption that the null hypothesis is true, a p-value of 0.05 means that there is a 5 percent probability of obtaining a test statistic value as extreme as, or more extreme than, 12.59.


Related Questions

The art club had an election to select a president. 10% of the 10 members of the club voted in the election. How many members voted?​

Answers

Answer:

1

Step-by-step explanation:

10 percentage of 10 is 1

Determine center point and radius in the equation x^2+y^2-6y+1=0

Answers

9514 1404 393

Answer:

center: (0, 3)radius: 2√2

Step-by-step explanation:

The equation can be put into standard form by "completing the square" for each variable. The x-term is already a square, so we need do this only for the y-term.

  x^2 +(y^2 -6y) = -1

  x^2 +(y^2 -6y +9) = -1 +9 . . . . . . add (-6/2)^2 to complete the square

  x^2 +(y -3)^2 = 8 . . . . standard form equation

__

Comparing the above equation to the form:

  (x -h)^2 +(y -k)^2 = r^2 . . . . . . . circle centered at (h, k), radius r

we see that (h, k) = (0, 3) and r^2 = 8 ⇒ r = 2√2.

The center point is (0, 3); the radius is 2√2.

Can someone PLEASE HELP FOR 15 POINTS!
(Classify each pair of angles listed below as adjacent or vertical)

Answers

I hope you understand

two numbers add up to 144. one number is half the square of the other number. what are the numbers










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Answers

Answer:

36 plus 36 plus 72 = 144 or 72 + 72= 144

What fraction is less then 1/2.
Choices are
16/33. 3/5 6/11 8/15

Answers

Answer:

16/33

Step-by-step explanation:

half of 5 is 2.5

half of 11 is 5.5

half of 15 is 7.5

half of 33 is 16.5

so 16/33 is the only fraction less than half of the denominator

hope this helps chu <3

Answer:

16/33

Step-by-step explanation:

because 16 +16 is 32 not 33 and it is a 1 over what it's supposed to be so it's less than 1/2 because 1/2 it technically something divided by 2 because it's half of something.

Help be genuine I will mark brainliest

Answers

Answer: 90

Step-by-step explanation:

which quadertiral makes this statement true

Answers

Answer:

option D is the right answer

Step-by-step explanation:

hope it helps you

You go bowling and it costs 20 dollars plus 5 dollars per person (p). Which expression represents the total cost?

Answers

Answer:

20+?P

Step-by-step explanation:

You would have 20 there bc you have 20 dollars originally charged then depending on the number of people going its 5 dollars a person so it would be 20 + "number of people here" P

Hope this helps,

Can i get a brainlist or like :)

Thanks

20+5p

20 is for the one-time fee to bowl and 5 is the cost for 1 person (p).

g Sardar has two old rich aunts, Betty and Gwenda. Assume they will both die before he does. For each aunt, Sardar thinks the chance that she will leave him some money if she dies first is 1/3. But Sardar thinks that if Gwenda dies first, the chance that Betty will leave him money is only 1/4, and if Betty dies first, the chance Gwenda will leave him money is also 1/4. What is the probability that he will inherit at least some money by the time they both die

Answers

Answer:

Sardar has a 29% chance of inheriting at least some money.

Step-by-step explanation:

Since Sardar has two old rich aunts, Betty and Gwenda, assuming they will both die before he does, for each aunt, Sardar thinks the chance that she will leave him some money if she dies first is 1/3, but Sardar thinks that if Gwenda dies first, the chance that Betty will leave him money is only 1/4, and if Betty dies first, the chance Gwenda will leave him money is also 1/4, to determine what is the probability that he will inherit at least some money by the time they both die the following calculation must be performed:

(1/3 + 1/4) / 2 = X

(0.333 + 0.25) / 2 = X

0.58333 / 2 = X

0.29 = X

Therefore, Sardar has a 29% chance of inheriting at least some money.

Based on the various probabilities that Sardar's aunts will leave him money when they die, the probability that he will at least inherit some money is 0.4375.

What is the probability that he will inherit at least some money?

This can be found by the formula:

= Probability that Gwenda leaves money + Probability that Betty leaves money - Probability that both leave money

Solving gives:

=  1/4 + 1/4 - (1 / 4 x 1 / 4 )

= 1/2 - 1/16

= 0.4375

Find out more on probabilities at https://brainly.com/question/24756209.

The area of a rectangular wall of a barn is 54 feet. It’s length is 12 feet longer than twice it’s width. Find the length and width of the wall of the barn.

Answers

Answer:the width is 3 feet

Step-by-step explanation:

PLEASE HELP ME!!!
No links ,answers only!!!

Answers

Answer:

[tex]f(-4) = 64[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (1,2)[/tex]

[tex](x_2,y_2) = (2,1)[/tex]

Required

Find f(-4)

We have that:

[tex]y = ab^x[/tex]

For [tex](x_1,y_1) = (1,2)[/tex]

[tex]2 = ab^1[/tex]

[tex]2 = ab[/tex]

For [tex](x_2,y_2) = (2,1)[/tex]

[tex]1 = ab^2[/tex]

Rewrite as:

[tex]1 = ab * b[/tex]

Make b the subject

[tex]b = \frac{1}{ab}[/tex]

Substitute: [tex]2 = ab[/tex]

[tex]b = \frac{1}{2}[/tex]

Substitute [tex]b = \frac{1}{2}[/tex] in [tex]2 = ab[/tex]

[tex]2 = a * \frac{1}{2}[/tex]

[tex]a = 2 * 2[/tex]

[tex]a = 4[/tex]

To calculate f(-4), we have:

[tex]f(x) = ab^x[/tex]

[tex]f(-4) = 4 * \frac{1}{2}^{(-4)}[/tex]

[tex]f(-4) = 4 * 16[/tex]

[tex]f(-4) = 64[/tex]

A tree is 18 feet tall and casts a shadow 12 feet long. A building nearby casts a shadow that measures 22 feet long. How tall is the building?

Answers

9514 1404 393

Answer:

  33 ft

Step-by-step explanation:

The object is 18/12 = 3/2 times as tall as the shadow it casts.

The building is 3/2 times as tall as its shadow:

  (3/2)(22 ft) = 33 ft

The building is 33 ft tall.

Answer:

the answer is 33 feet

Step-by-step explanation:

:))

PLEASE HELP ME ANYONE :(

Answers

Answer

B

Step-by-step explanation:

5*5*6=150

Answer:

150

Step-by-step explanation:

Need answer asap, will give brainliest.

Answers

The solution is the point where the lines cross. So (-1, -2)

Two lines, C and D, are represented by the equations given below:

Line C: y = x + 14
Line D: y = 3x + 2

Which of the following shows the solution to the system of equations and explains why? (5 points)

a
(6, 20), because both lines pass through this point

b
(6, 20), because the point does not lie on any axis

c
(3, 11), because one of the lines passes through this point

d
(3, 11), because the point lies between the two axes

Answers

the answer is d to this

Answer:

The answer is c

Step-by-step explanation:

[1 6 9 3]
[2 5 8 1]
[0 2 2 4]
what are the dimensions of the matrix

Answers

Answer:

4 by 3

Explanation:

Rows by columns

Please help, will give 14 points.

Answers

Answer:

25

Step-by-step explanation:

count the frequencies so to get your answer. It is 25.

if it helps don't forget to like and mark me down

May you solve this for me?

Answers

Answer: 23.94 cm

Step-by-step explanation: I am totally not sure if this is the answer, but think of it this way: Those are 2 semi circles. The formula for the area of a semi circle is A = π * r^2 / 2. For the semi circle with 6 cm, the radius is 3. So we can plug it in the formula. 3.14 * 3^2 / 2, which is 14.13. For the semi circle with 5 cm, the radius is 2.5. Again plug it in and it will be 3.14 * 2.5^2 / 2, which is 9.8125. Then, to get the total area, add the 2 final values together. 9.8125 + 14.13, which is 23.9425. Then it said "round to the nearest hundredth if necessary. We can round to the nearest hundredth, which is 23.94, so that would be the answer. That is just my thought process.

I am not really sure if it's the answer, but take a gander at my thought process and hopefully, you can agree with me.

Hi I have a question pls DON’T give a link

Answers

Answer:

5. x=11

6.x=9

Step-by-step explanation:

5. 8 x 3=24

264/24=11

6. 4.5 x 4= 18

162/18=9

20% of 150 is of what

Answers

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

150 x .2 = 30

QUESTION 33 A farmer would like to evaluate Miracle Grow when used on his potted daisy plants. He sets up 20 plants in a room all facing the same window, obtaining the same amount of sunlight, and waters them identically each day. For a month, he monitors how much each plant grows. Then, he adds Miracle Grow to every pot and monitors how much each plant grows during a month with Miracle Grow. At the end of two months, he discovers that 14 plants grew more with Miracle Grow. Test the hypothesis that Miracle Grow increases plant growth (using an alpha level of .01). a) Is this a one-tailed or two-tailed test

Answers

Answer:

a) It is a one-tailed test

Step-by-step explanation:

The number of plants he sets up in the room, n = 20

The number of plants that grew more with Miracle Grow = 14

The alpha level α = 0.01

A one-tailed test is used when the critical-area of interest in the distribution is either to the left or right of a value on the number line. That is the test is concerned if the test result is either less than or more than a value

In the test the farmer subjects all 20 plants to the same test treatment without any control experiment, therefore, the farmer evaluates the plants based on how much they grow compared to each other, that is if they grow more or less than their pairs

Therefore a one-tailed test should be used.

Lacey and Rita are adding books to their class libraries. Lacey’s classroom started out with 14 books and she plans to but 2 more books per week. Rita started out with 22 books, and she has enough money in her budget to purchase one book per week. At some point, the teacher’s will have the same amount of books. Which week will have the same number of books and how many books will each class have?

Answers

Answer:

in 8 weeks they will each have 30 books

Step-by-step explanation:

Lacey:  y = 2x + 14

Rita:      y = x + 22

y = # weeks

x = # books

set equations equal to each other:

2x + 14 = x + 22

x + 14 = 22

x = 8

solve for 'y':

y = 8 + 22

y = 30

Pls help extra points and mark brainlist

Answers

Answer:

(3,2)

Step-by-step explanation:

...................

(3,2) brainiest? Hope this helps

Plz someone answer I will give u points

Answers

Answer:

FL = 54°

Step-by-step explanation:

m<MNF = ½(ML + LF) (inscribed angle theorem)

7 + 8x = ½(72 + 7x + 5)

Solve for x

2(7 + 8x) = 72 + 7x + 5

14 + 16x = 72 + 7x + 5

Add like terms

14 + 16x = 77 + 7x

16x - 7x = 77 - 14

9x = 63

x = 63/9

x = 7

✅FL = 7x + 5

Plug in the value of x

FL = 7(7) + 5 = 49 + 5

FL = 54°

Shenelle has 100 meters of fencing to build a retangular Garden. The garden's area as a función of the garden's widrh X is modeled By A(x)= -(x-25)+625

Answers

Answer:

625 metres

Step-by-step explanation:

Given the area function expressed as a(w)=-(w-25)^2+625.

The maximum area occurs at when da/dw = 0

da/dw = -2(w-25)

0 = -2(w-25)

-2(w-25) = 0

w - 25  = 0

w = 25

Substitute w = 25 into the modeled equation;

Recall a(w)=-(w-25)^2+625.

a(25)=-(25-25)^2+625

a(25) = 0+625

a(25) = 625

Hence the maximum area possible is 625 metres

Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You mix the Gazebo blend with the Mexican Shade Grown blend, but always in the same proportion. Yesterday, you mixed 90 pounds of the Gazebo blend with 27 pounds of the Mexican Shade Grown blend. Today, there is 60 pounds of the Gazebo coffee left in stock. How many pounds of the Mexican Shade Grown coffee should you mix with it to get your secret blend?

Answers

Answer:

18lbs of Mexican Shade Grown coffee

Step-by-step explanation:

Since this is a ratio problem and we are given three values and one variable x (pounds of Mexican Shade Grown coffee needed) we can use the Rule of Three to solve this problem. In this rule we simply multiply the diagonal available values and divide by the third value to get the value of the variable, like so...

90lbs Gazebo  <=====>   27lbs Mexican Blend

60lbs Gazebo  <=====>   x lbs Mexican Blend

(60 * 27) / 90 = x

1620 / 90 = x

18 lbs = x

We need 18lbs of Mexican Shade Grown coffee blend to mix with the 60lbs of Gazebo blend

What is the value of y ?

Answers

[tex]y^{2}=6*(6+2)\\\\y^{2}=48\\\\4\sqrt{3}[/tex]

Solve for Y= 1680 + 0.72

Answers

y=1680+0.72
y=1680.72

Justine earned a total lifetime income of
$1,050,000 as a flight attendant. Her sister
Abigail earned a total lifetime income of
$4,800,000 as an attorney. If each sister worked
for 30 years, how much greater was Abigail's
annual salary than Justine's?

Answers

Answer:

$125,000

Step-by-step explanation:

In 30 years, Abigail earned the following amount more than Justine:

$4,800,000 - $1,050,000 = $3,750,000

Per year, the difference is

$3,750,000/30 = $125,000

Answer: $125,000

Pls help me , I ll give u the brainliest

Answers

Answer:  3.4 miles per day

Step-by-step explanation:

Add all together then divide by total number of people...

(0x2)+(1x1)+(3x4)+(4x2)+(5x3)+(6x2)=

0+1+12+8+15+12=48

48 total miles walked 14 people walked

48/14=3.42 average

rounded to nearest tenth...

3.4 miles per day

The other person’s answer was correct
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