A study was performed to investigate whether teens and adults had different habits when it comes to consuming meat-free meals. In particular, the researchers were interested in the relationship between p1, the proportion of teens who would report eating at least one meat-free meal in the past week, and p2, the proportion of adults who would report eating at least one meat-free meal in the past week. A random sample of 875 teens and a separate random sample of 2,323 adults found that 555 of the teens and 1,601 of the adults reported eating at least one meat-free meal in the past week. The conditions for inference were checked and verified. What is the correct set of hypotheses the researchers should test in this scenario

Answers

Answer 1

Answer:

H₀ should be rejected at CI 95% .

Then the proportion of adults with 95 % CI is bigger than the proportion of teen

Step-by-step explanation:

From adult sample:

n₂ = 2323

x₂ = 1601

p₂ = 1601 / 2323         p₂  = 0,689       or    p₂ = 68,9%

From teen sample:

n₁ = 875

x₁ = 555

p₁ = 555/ 875           p₁  = 0,634          or    p₁  = 63,4

Values of p₁  and  p₂   suggest that the proportion of adults consuming at least one meat free meal per week is bigger than teen proportion.

To either prove or reject the above statement we have to develop a difference of proportion test according to:

Hypothesis test:

Null Hypothesis                   H₀             p₁  =  p₂

Alternative Hypothesis       Hₐ             p₂  > p₁

So is a one-tail test to the right

We can establish a confidence interval of 95 % then  α = 5 %

or    α = 0,05

As the samples are big enough we will develop a z test

Then  z(c)  for α = 0,05   from z table is     z(c) = 1,64

To calculate z(s)

z(s) = ( p₂  -  p₁ ) / √p*q* ( 1/n₁  + 1/n₂ )

where p = ( x₁ + x₂ ) / n₁ + n₂       p = 555 + 1601 / 875 + 2323

p = 2156/3198       p = 0,674

and   q = 1 - 0,674        q = 0,326

z(s) = ( 0,689 - 0,634 ) / √0,674*0,326 ( 1/875 + 1 / 2323

z(s) = 0,055/ √ 0,2197 ( 0,00114 + 0,00043)

z(s) = 0,055/ √0,2197* 0,00157

z(s) = 0,055/ √ 3,45*10⁻⁴

z(s) = 0,055 / 1,85*10⁻²

z(s) = 5,5/1,85

z(s) = 2,97

Comparing  z(s) and z(c)     z(s) > z(c)

Then z(s) is in the rejection region we reject H₀.

We can claim that the proportion of adult eating at least one meat-free meal is bigger than the proportion of teen


Related Questions

I. NEED. HELP. NOW. PLEASE.

THIS IS DUE IN 3 HOURS

Answers

Answer:

1. $670

2.$920

3.$1500

4.$2100

Step-by-step explanation:

Hope it was fast enough & helpful .

Good luck ^^

helppppppppppppppppp

Answers

Answer:

x[tex]\leq[/tex]1

Step-by-step explanation:

Solve 4r2 – 5 = 59
{± 3}


{± 4}


{± 5}


{±6}

Answers

9514 1404 393

Answer:

  (b)  ±4

Step-by-step explanation:

  4r^2 -5 = 59 . . . . given

  4r^2 = 64 . . . . . . . add 5

  r^2 = 16 . . . . . . . . . divide by 4

  r = ±4 . . . . . . . . . . . take the square root

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer: The answer is 4 pieces of chalk

Answer:

7 chalks

Step-by-step explanation:

7 crosses are above numbers that are higher than 5

What's the height if a triangle with area of 20 units2

Answers

Answer:

10

Step-by-step explanation:

20/2=10

The answer would be 10 just divide :)

65% of the total number of students are girls and there are 224 boys. find the percent of boys ? find the number of girls?​

Answers

ANSWER:

Well the percentage of boys would be 35%

I believe the number of girls is 416

hope this helps

Which table shows y=-x+4

Answers

.....the correct answer is C

help me answer this question

Answers

answer: 8x3-125y3
(3s are power of x)

How much money is needed to be invested now to obtain $12,100 8 years from now if this amount is invested at 7.25% compounded continuously?

Answers

Answer:

$6,911.92

Step-by-step explanation:

Given the following

Amount A = $12,100

Time t = 8yrs

Rate r = 7.25%

Required

Principal P

Using the compound interest formula;

A = P(1+r)^n

12,100 = P(1+0.0725)^8

12,100 = P(1.0725)^8

12100 = 1.7506P

P = 12,100/1.7506

P = 6,911.92

Hence the amount invested would have been $6,911.92

A retail shop is replacing their flooring with laminate wood. The floor plan is shown below. Determine the total square feet of laminate wood needed to complete the the job.

Answers

Answer:

1075 ft

Step-by-step explanation:

25*35 = 875

8*25 = 200

875+200 = 1075

HELP! LOOK AT THE PHOTO

Answers

Answer:

The answer to the question provided is 30.

Step-by-step explanation:

[tex]5x - 80 + 2x + 50 = 180 \\ 7x - 30 = 180 \\ \frac{ \: \: \: \: \: \: + 30 = + 30}{ \frac{7x}{7} = \frac{210}{7} } \\ x = 30[/tex]

[I apologize if the answer to the question is inaccurate]

Answer: 30

Step-by-step explanation:

What is 10×25 to the sixth power

Answers

Answer:

2.4414063e+14 (wow such a large number)

Step-by-step explanation:

10x25= 250

250 to the 6th power = 2.4414063e+14

Which number completes the inequality? 2/3

Answers

Answer: it’s 3/4

Step-by-step explanation: you have to make the Denominator equal for all of them In order to be able to compare. So if you make the denominator equal to 36 you then have to multiply the numerator by the same number you did for the denominator. Once doing that you will find that 24/36 < 27/36 < 28/36

Plz brainliest.

find the total service area of this cone. leave your answer in terms of pi.
r=10in h=24in

Answers

Answer:

36pie inch²

Step-by-step explanation:

Answer attached

Hope it helps :)

How does the stimulus check impact society please help me please i really need help please

Answers

Answer:

It helps families who or who do not have the resources and helps them with money issues

Step-by-step explanation:

hope it helps

2(5+xi)-21+5i=3yi^2-3yi

Answers

Answer:

x = -8, y = 11/3

Step-by-step explanation:

Solve the following radical equation , Show work also please !

Answers

there is no solution

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{-12=6\sqrt{x+4}}[/tex]

[tex]\mathsf{6 \sqrt{x + 4}=-12}[/tex]

[tex]\textsf{DIVIDE your BOTH SIDES by 6}[/tex]

[tex]\mathsf{\dfrac{6\sqrt{x + 4}}{6}= \dfrac{-12}{6}}[/tex]

[tex]\textsf{Introduce the new temporary equation}[/tex]

[tex]\mathsf{\sqrt{x + 4}=-2}[/tex]

[tex]\textsf{SOLVE for your SQUARE ROOT }[/tex]

[tex]\mathsf{\sqrt{{x + 4}}=-2}[/tex]

[tex]\mathsf{Like: x + 4 = (-2)^2}[/tex]

[tex]\textsf{SQUARE EACH of your SIDES}[/tex]

[tex]\mathsf{x + 4 = 4}[/tex]

[tex]\textsf{SUBTRACT your BOTH SIDES by 4 }[/tex]

[tex]\mathsf{x + 4 -4= 4-4}[/tex]

[tex]\mathsf{Cancel\ out\ 7-7 \ because\ it\ gives\ you\ 0}[/tex]

[tex]\textsf{Solving for your last temporary question}[/tex]

[tex]\mathsf{x = 4-4}[/tex]

[tex]\mathsf{4-4 = \bf 0}[/tex]

[tex]\mathsf{\bf x = 0}[/tex]

[tex]\textsf{Plug your x-value (x = 0) to make sure it works for your original equation}[/tex]

[tex]\textsf{You will see that it doesn’t work for the original problem so this means that the}\\\textsf{original equation \bf does NOT have any solutions.}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge\bf No solutions}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Mark hsa a square photo with an area of 9cm squared.
He enlarged the photo to have an area of 36 cm squared
To do this the length of each side was multiplied by a factor of
two three four five or six?

Answers

Answer:

4

Step-by-step explanation:

36/9=4

Find the volume of the sphere. Round to the nearest tenth.

The volume is about _____ cubic meters.

Answers

Could You explain more I cannot Under stand Or see the Picture

You deposit $300 in a savings account. The account eams 10% simple interest per year.
a. What is the interest earned after 8 years?
The interest earned is $
after 8 years.
5. What is the balance after 8 years?
The balance is $
after 8 years.

Answers

The balanced is 700 after 8years

What is the solution of the equation z +8 = 21?

Answers

Answer: 13

Explanation:

21-8=13

z = 13  is the solution of the equation z +8 = 21.

What is simplification?

When a mathematical expression is converted into an equivalent, typically shorter statement, it becomes simpler. Procedure simplification is one method to encourage uniformity in work effort, expense, and duration. It reduces diversity and variation that is detrimental, pointless, or unnecessary.

Given, an expression  z + 8 = 21

Simplifying it,

z = 21 - 8

z = 13

Therefore, The answer to the equation z + 8 = 21 is z = 13.

Learn more about simplification here:

brainly.com/question/24242989

#SPJ2

The "middle" term of the trinomial form of (3x + 5)(4x – 3)

is:

29x

- 3x

O 11x

0 2x

I want the answer the steps

Answers

Answer:

The "middle" term is 11x.

Step-by-step explanation:

(3x + 5)(4x - 3)

Solve this by using FOIL: first – outer – inner – last

F: 3x • 4x = 12x²

O: 3x • -3 = -9x

I: 5 • 4x = 20x

L: 5 • -3 = -15

Combine the terms.

12x² - 9x + 20x - 15

Combine like terms.

12x² + 11x - 15

The "middle" term is 11x.

Hope this helps!

If f(x)=x squared-2x and g(x) = 6x+4 for which is a value of x does (f+g)(x) =0

Answers

Answer:

For [tex]x = -2[/tex]

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

In this question:

[tex]f(x) = x^2 - 2x[/tex]

[tex]g(x) = 6x + 4[/tex]

[tex]f(x) + g(x) = (f+g)(x)  = x^2 - 2x + 6x + 4 = x^2 + 4x + 4[/tex]

Which is a value of x does (f+g)(x) =0

[tex]x^2 + 4x + 4[/tex]

Quadratic equation with [tex]a = 1, b = 4, c = 4[/tex]

So

[tex]\Delta = 4^{2} - 4*1*4 = 0[/tex]

[tex]x_{1} = \frac{-4 + \sqrt{0}}{2} = -2[/tex]

[tex]x_{2} = \frac{-4 - \sqrt{0}}{2} = -2[/tex]

For [tex]x = -2[/tex]

Which choice is equivalent to the expression below?
✓-27
A. -3✓3
B. 3✓3
C. 3i✓3
D. -✓27
E.-3✓3i

Answers

Answer:

C. 3i✓3

Step-by-step explanation:

Which choice is equivalent to the expression below?

✓-27

Square root of a negative value, so it will have a complex part.

We have that:

[tex]\sqt{-a^2} = ai[/tex]

In this question:

The square root of -27 can be factored as:

[tex]\sqrt{-27} = \sqrt{3(-9)} = \sqrt{3}\sqrt{-9} = 3i\sqrt{3}[/tex]

So the correct answer is given by option C.

A fish aquarium is 3 ft long, 2 ft wide, and 2 ft high. What is the volume of the aquarium?

ANSWER ASAP I DONT HAVE MUCH TIME

Answers

I Believe It Is 12ft

Please help please please

Answers

Answer:

1078m²

Step-by-step explanation:

Formulas:

Total Surface Area  = 2B + Ph

Area = 1/2bh

Solve:

19 × 17 = 323

19 + 19 + 17 + 17 = 72

h = 6m

B = 323m

P = 72m

Total Surface Area = 2(323m) + (72m × 6m) = 1078m²

Some help if you can i just need it

Answers

The correct answer is C.

what % of 4 is 7

i need this to be answered as quickly as possible please

Answers

Answer:

the answer

= 17.5

Step-by-step explanation:

https://www.percentagecal.com/answer/.7-is-what-percent-of-4#:~:text=Percentage%20Calculator%3A%20.,%3D%2017.5

Find the value of the trig function indicated

Answers

Answer:

A. (2√13)/13

Step-by-step explanation:

Recall, SOHCAHTOA.

Thus,

Cos θ = Adjacent/Hypotenuse

Adjacent = 16

Hypotenuse = 8√13

Therefore,

Cos θ = 16/(8√13)

Rationalize

Cos θ = (16*√13)/(8√13*√13)

Cos θ = (16√13)/(8*13) = (2√13)/13

An air conditioning system can circulate 430 cubic feet of air per minute. How many cubic yards of air can it circulate per​ minute?

Answers

Divide the number of cubic feet that it can circulate by the number cubit feet per cubic yard. That gives the number of cubic yards that it can circulate. It can circulate about 10.37 cubic yards per minute.

The air conditioning system can be circulate in 15.92 cubic yards of air per minute.

Here,

An air conditioning system can circulate 430 cubic feet of air per minute.

We have to find the cubic yards of air which can be circulate in per minute.

What is the value of cubic yard in cubic feet?

1 cubic yard = [tex](3 ft)^3[/tex] = 27 cubic feet.

Now,

1 cubic yard = [tex](3 ft)^3[/tex] = 27 cubic feet.

Hence, Cubic yards of air circulate in per minute = 430/27 = 15.92

So, The air conditioning system can be circulate in 15.92 cubic yards of air per minute.

Learn more about the cubic feet visit:

https://brainly.com/question/27530276

#SPJ2

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