Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%. Use the 0.01 significance level to test that claim.

Answers

Answer 1

Answer:

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

Step-by-step explanation:

The candy company claims that the percentage of blue candies is equal to 29%.

This means that the null hypothesis is:

[tex]H_{0}: p = 0.29[/tex]

We want to test the hypothesis that this is true, so the alternate hypothesis is:

[tex]H_{a}: p \neq 0.29[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.29 is tested at the null hypothesis:

This means that [tex]\mu = 0.29, \sigma = \sqrt{0.29*0.71}[/tex]

Suppose that in a random selection of 100 colored candies, 21% of them are blue.

This means that [tex]n = 100, X = 0.21[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.21 - 0.29}{\frac{\sqrt{0.29*0.71}}{\sqrt{100}}}[/tex]

[tex]z = -1.76[/tex]

Pvalue of the test:

The pvalue of the test is the probability of the sample proportion differing at least 0.21 - 0.29 = 0.08 from the population proportion, which is 2 multiplied by the pvalue of Z = -1.76.

Looking at the z-table, z = -1.76 has a pvalue of 0.0392

2*0.0392 = 0.0784

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.


Related Questions

Please HELP!! Need answer ASAP

Answers

Answer:

last option:  answer is 'x'

Step-by-step explanation:

(3x + 1 - 1) / 3  =  3x / 3  = x


8. The difference between two numbers is 33 and the ratio
between them is 5:2. Find the numbers

Answers

Answer:

Step-by-step explanation:

x - y = 33

x/y = 5/2      Multiply both sides by y

y*x/y =5y/2

x = 5y/2       Multiply both sides by 2

2x = 5y        Multiply the top equation by 2. Bring 5y to the left

2x - 2y = 66

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

2x - 5y = 0

2x - 2y = 66 Subtract

-3y = - 66      Divide by - 3

y = 22

x - y = 33

x - 22 = 33    Add 22 to both sides

x = 22 + 33

x = 55

Plz help if correct ill give brainliest

Answers

Answer:

it's 48 promise because if you do 6x8 you get =48

For this, in basic terms, is asking for the two areas, of each shape, and then add those two together.

So, for the square:

A = Length • Width
A = 8•8
A = 64

Then, for the triangle:
A = 1/2 • Base • Height
A = 1/2 • 6 • 8
A = 3 • 8
A = 24

Finally:
64 + 24 = 88

The final answer is 88 ft^2

Hopefully this helped!

where is the whole number in 34.50​

Answers

Answer:

34

Step-by-step explanation:

use the 3 digits 5, 3, and 2 only once in each number how many 3 digit numbers can you make?

Answers

Answer:

532

523

325

352

235

253

so you can make 6

someone please answer without links please, thankyouuu

Answers

13 because I did this one believe

Monica drinks 0.125 liters of milk during breakfast and 0.20 liters of milk after dinner everyday. Find the total amount of milk she drinks in a day, using significant digits.

A. 0.325 L
B. 0.33 L
C. 1 L
D. 3.25 L

Answers

The total number of milk drank in a day since the significant figure is not specified is 0.325 L.

What are significant figures?

Significant figures are a way of approximation of large numbers to the required approximation such as two significant figures, three significant figures, or more, as the case may be.

From the given information:

Monica drinks 0.125 liters of milk during breakfast, and0.20 liters of milk after dinner every day

The total number of milk drank in Liters in a day is:

= (0.125 + 0.20) L

= 0.325 L

Learn more about significant figures here:

https://brainly.com/question/24491627

#SPJ1

Answer:

the correct answer is B. 0.33 L

Explanation:

I just took this quiz and this was the correct answer.

Carla knows that, in order to use adjectives and adverbs more effectively, she needs to understand comparison. Which concepts below can help Carla expand her knowledge?

Each degree of comparison has its own suffix
The positive degree of comparison simply modifies the word and has no suffix
The comparative degree compares two things and uses the suffix –est
The superlative degree compares three things and uses the suffix -est

Answers

Answer:

Each degree of comparison has its own suffix..

Both the adjectives and adverbs are used to make comparisons. The comparatives and superlatives are also used in writing to hedge or to boost the language. Each degree of comparison has its own suffix. The correct option is A.

What is comparative degrees?

The comparative form is used to compare two people, ideas or things. The superlative form with the word 'the' is used to compare three or more. The comparative adjectives are used to compare differences between the two objects they modify (larger, smaller, faster, higher).

The comparative form is used in the sentence where two nouns are compared. The comparative adjectives compare one person or the thing with another and enable us to say whether a person or thing has more or less of a particular quality.

One example of comparative adjective is that Josh is taller than his sister.

Thus the correct option is A.

To know more about comparative degrees, visit;

https://brainly.com/question/1301343

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The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box

Answers

Answer:

Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that  the mean weight is less and equal  to 9.75 ounces per box and accept the null hypothesis.

Step-by-step explanation:

Let the null and alternate hypothesis be

H0:  u ≤ 9.75   against the claim Ha: u > 9.75

Here

Population mean= u= 9.75

Standard deviation= 0.27 ounces

Sample mean= x`= 9.85

Significance level [tex]\alpha[/tex]= 0.05

Using z- test

z= x`-u/s/√n

z= 9.85-9.75/0.27/√25

z= 0.1/5.4

z= 0.0185

The critical region for 1 tailed test at 0.05= z > ±1.645

Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that  the mean weight is less and equal  to 9.75 ounces per box and accept the null hypothesis.

Which Expressions Represent Area?

Answers

Answer:

Step-by-step explanation:

help please thanks plsss

Answers

Answer:

A

area = 256 inches²

side = √256 = 16 inches

B

0.0063 inch = 6.3 × 10^-3

A room in the shape of an octagon has a perimeter of 72 feet. What is the length of each side of the room? Let s represent the length in feet of each side of the room. Write and solve an equation for s.​

Answers

Answer:

s=9

Step-by-step explanation:

8s=72

Divide 72 and 8

s=9

Step-by-step explanation:

Octagon is regular polygon meaning all sides are epual it is 8sided polygon p=72 = sides =8 each side =72÷8

=9feet

A wasp is a flying insect. In wasps, wing length is coded for by a single gene. Two scientists studying wasps hypothesize that short wings are recessive to long wings. Which of the following observations best supports this hypothesis?


Wasps with long wings are less likely to survive.


Wasps with long wings can produce offspring with short wings.


Wasps have wing lengths ranging from very long to very short.


Wasps with short wings prefer to mate with wasps with long wings.

Answers

Answer:Wasps with long wings are less likely to survive.

Step-by-step explanation:Because offsprings can happen is diffrent ways say a bird had a offsring that made it have one leg it wouldent sureive to the standers of a bird with 2 legs same goes for other animals sorry if there is some spelling misakes hope this helped:)

Anna has n number of nickels. She has less than 45 cents. Which inequality could be used to the find the value of n?
A 0.05n < 0.45
B 0.05n > 0.45
C 0.05n < 0.45
D 0.05n > 0.45

Answers

Answer:

The correct answer is A or C 0.05n < 0.45

Step-by-step explanation:

Nickels cost $0.05 and n is the number of nickels, so you multiply the two to get 0.05n. Since this value is less than $0.45, we put a less than sign.

Which is a function?
O {(-3,5), (1,4), (3,7), (1,7), (4,9)}
O {(7.9), (13,-2), (8,4), (7,0), (4,12)}
O {(2,1), (-1,7), (6,-2), (10,3), (-6,0)}
O {(-2,4), (7,4), (-6,8), (-2,8), (1,1)

Answers

50000000000000000000000000000000000000000000

Answer:

{(7.9), (13,-2), (8,4), (7,0), (4,12)} is a function

Step-by-step explanation:

Please help I’m on vacation and I didn’t go to school yesterday

Answers

Answer:

28 [tex]cm^{2}[/tex]

Step-by-step explanation:

The formula of area for triangles: [tex]\frac{1}{2}bh[/tex]

[tex]\frac{1}{2}[/tex] * 7 = 3.5   (3.5 *2) = 7

The formula for area of a rectangle: bh

7*3 = 21

Add the areas together 21+7 = 28 squared cm

Answer:

28cm²

Formula of area of triangle:

1/2 x base x height

Formula of area of rectangle:

length x width

thus,

area of the whole thing:

(1/2 x 7cm x 2cm)+(3cm x 7cm)

=7cm²+21cm²

=28cm²

BRAINLIEST NEED ANSWERS ASAP PLEASE

Answers

[tex]\frac{3x+2+5(x-6)}{x^{2} -36}=\frac{8x-28}{(x+6)(x-6)}[/tex]

A chemist is using 358 milliliters of a solution of acid and water. If 13.5% of the solution is acid, how many milliliters of acid are there
Round your answer to the nearest tenth.

Answers

Answer:

48 milliliters

Step-by-step explanation:

13.5% of 358 is 48

Parallel to y = 2x – 5
going through (-6, 1)?

Answers

Answer:

y=2x+13

Step-by-step explanation:

Gradient of parallel lines are equal and in the equation,y=2x-5, 2 represents the gradient.

Therefore the gradient of the other line will also be 2.

Introduce another point (x,y) and then equate using the gradient as follows:

y-1/x--6=2

y-1/x+6=2

Cross multiplication;

(y-1)=2(x+6)

y-1=2x+12

y=2x+12+1

y=2x+13

Find the surface area of the cone in terms of pie
16 cm
10 cm
The surface area of the cone is cm?
(Simplify your answer. Type an exact answer in terms of x.)

Answers

Answer:

all you did multiply it

Step-by-step explanation:

A submarine was twenty feet below the surface of the water and descended an additional thirty-two and a half feet. Eventually the submarine ascended forty feet toward the surface of the water. What is the location of the submarine in the water?​

Answers

Answer:

-12 1/2 feet (12 1/2 feet below the surface).

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Look at the photo! Please help

Answers

the answer is A

Explanation:

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

GFD and jik...a pair of angles on the outer side

Answer:

<HIK and <GFD

<GFD and <JIK

Step-by-step explanation:

Exterior angles are outside angles.

Hope this helps! :)

HELPP PLEASEEE MY GRADE DEPENDS ON ITTT!!!!!!!!!
Find the value x.

Answers

Answer:

its ten i think it depends on my work

[tex]\\ \qquad\quad\sf\longmapsto 48^2=64\times x[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 48^2=64x[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x=\dfrac{48^2}{64}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x=\dfrac{2304}{64}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x=36[/tex]

A Web music store offers two versions of a popular song. The size of the standard version is 2.5 megabytes (MB). The size of the high-quality version is 4.4 MB. Yesterday, there were 1140 downloads of the song, for a total download size of 4522 MB. How many downloads of the standard version were there?

Answers

Answer:

the number of downloads of the standard version is 260

Step-by-step explanation:

Let us assume the downloads of the standard version be x

And, the download of the high-quality version be y

Now as per the question

2.5x + 4.4y = 4522 .........(1)

x + y = 1140

y = 1140 - x .......................(2)

Now put the value of equation 2 in the equation 1

So,

2.5x + 4.4 (1140 - x) = 4522

2.5x + 5016 - 4.4x = 4522

-1.9x = -494

x = 260

Hence, the number of downloads of the standard version is 260

solve the equation
t^3=-343

Answers

Answer:

7

Step-by-step explanation:

t^3=7^3

t=7^3-^3

t=7

Please mark me as brainliest

Answer:

t = -7

Step-by-step explanation:

if you multiply -7 by -7, you get 49. Now if you multiply 49 times -7 you get -343

Classify the polyhedron. select all that apply-
•non-convex
•non-regular
•convex
•regular

Answers

convex

non-convex

regular

non-regular

What are the solutions to the system?
A. (0, 5.6) and (0, 13)
B. (0, 13) and (16, 1)
C. (4, 10) and (7, 7.75)
D. (16, 1) and (10,0)

Answers

Answer:

(4, 10) and (7, 7.5) are the solutions to this system.

Step-by-step explanation:

You can see this by observing the two given points where the line and the parabola intercept.  Those are the only two points where that will happen.

Lynda was a horrible waitress. She spilled a drink on you and she brought you the wrong food. The bill came to $56.35 so you left her $3. What was the percent of tip you left her?

Answers

Answer:

5.32 percent of the tip

anybody want points
1-10=

Answers

Answer:

-9

Step-by-step explanation:

There.

hope this helps

Answer:

-9

Step-by-step explanation:

thanks lol, you subtract 10 from one. but could you actually help with mine? A bag contains 2 yellow, 12 red, and 6 green marbles. What is the probability of selecting a red marble, not replacing it, then selecting another red marble

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