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
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
Geometry please help!!!!!
Select all of the given trigonometric equations that are true statements. sin(180°) = cos(0°) cos(74°) = sin(16°) sin(20°) = cos(70°) sin(A°) = cos(90° - A°) sin(A°) = cos(180° - A°) cos(140°) = sin(40°)
Answer:
Cos 74°= Sin 16°
Sin 20°= Cos 70°
Sin A°=Cos (90°- A°)
Step-by-step explanation:
This is because the three pairs are complementary i.e they add up to 90° and in trigonometric ratios, complementary ratios are equal.
Use the figure below to complete the sentence.
B
A
E
39°
o
BGC and ZFGE are (select)
angles, so mZFGE =
Answer:
<BGC and <FGE are vertical angles
<BGC=90°-42°=48°
So m<FGE=48°
Hope it helps...
Suppose that 55% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?
Answer:
The probability to one person to be a dog owner is p=0.56 (because 56% of people own dogs) and the probability that one person is not dog owner is q=1-p=1-0.56=0.44.
Step-by-step explanation:
Choosing two people at random, there are such possibilities:
1. both are dog owners;
2. first owns a dog, second not;
3. first hasn't dog, second owns a dog;
4. both haven't dogs.
Answer: if you pick two people at random the probability that they both own a dog is 0.3136.
Hope this helps! :))
The Probability that they both own a dog is 0.3025.
Here,
55% of people own dogs.
If pick two people at random,
Then we have to find the probability that they both own a dog.
What is Probability?
Probability is defined as the likelihood of something occurring or the chance of something happening.
Now,
55% of people own dogs.
Hence, the probability that they both own a dog = 55% * 55%
= 0.55 * 0.55
= 0.3025
So, The probability that they both own a dog is 0.3025.
Learn more about the probability visit:
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help i don’t understand this
Answer:
31.4 in
Step-by-step explanation:
Count the 4 mm lines and add it to 31 ins. So you end up with 31.4 in
Please please please help I will mark you brainiest
Answer: b then!
Step-by-step explanation:
Andrew is shooting arrows at a target.
The experimental probability that one will hit a bulls eye is 1/4. If he shoots 60 arrows, how many times can he expect to hit a bulls eye?
Answer:
15
Step-by-step explanation:
60/4 = 15
So, Andrew would probably hit a bullseye 15 times.
4x+5x+7+x+2
Solve please
Answer: you combine like terms to get 10x+9
Step-by-step explanation: 4+5+1 is 10 and 7+2 is 9.
Answer:
10x+9
Step-by-step explanation:
Please help I’m really need the help (NO LINKS ) (NO LYING )
Answer:
for this you should use photomath all you do is take a picture of each problem and put the answer down
Answer:
1 = 22.4
2 = 19
3 = 22.6
4 = 18.75
5 = 23.6
6 = 20.85
7 = 29.75
8 = approximately 21.85
9 = i can't read the bottom number sorry
* all of this is squared inches too
Aidans hourly salary is $11. If Aidan normally works a 40 hour week , then how much is normally earned in a week?
Answer:
$440
Step-by-step explanation:
40x11=440
hope it helped
plz mark me as brainliest.
help me please i dont know what to do
Answer:
x = 14.4
Step-by-step explanation:
First of all, the triangle has three sides, so let's use hero's formula to find the area.
A = √[p(p - a)(p - b)(p - c)]
Where;
a, b and c are the 3 given sides of the triangle and;
p = (a + b + c)/2
p = (18 + 30 + 24)/2
p = 72/2
p = 36
Thus;
A = √(36(36 - 18)(36 - 30)(36 - 24))
A = √46656
A = 216 Sq.units
Now, we also know from general formula of a triangle that;
A = ½bh
Where;
b is base and h is height
In the given image;
b = 30
h = x
Thus;
½ × 30 × x = 216
Rearranging, we have;
x = 216 × 2/30
x = 14.4
ery Test
1
Select the correct answer.
Who is a consumer?
OA.
a person who buys items in a store
OB.
a person who owns a store
O C.
a person who works at a store
Kacie has a bag of
pretzels. She eats 1/3 of
the bag and gives 1/2 of
the bag to her brother.
How much of the bag
does she have left?
Answer: .
Step-by-step explanation:
The length of segment GI is 8. True or false?
Answer: false
Step-by-step explanation: that’s what my teacher told me sorry if it’s wrong
Answer:
It is false
Definetely false
A single line of four cats one behind the other walks towards and head-on into a single line of five cats walking in the opposite direction. When two of the nine cats meet, they both switch directions and then continue walking. How many meetings take place?
Answer:LLLLLLLLLLLLLL
Step-by-step explanation:
LLLLLLLLLl
Answer:
4
Step-by-step explanation:
There are just 4
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
Circumference=25.13 Area=50.27
1. Determine the three-dimensional figure that will be created using the following nets.
Answer:
The figure is a triangular prism
Step-by-step explanation:
it's bc the bases are triangles
A triangular prism is a three-sided prism consisting of a triangular base, a translated duplicate, and three faces connecting similar sides. The given net will form a triangular prism.
What is a triangular prism?A triangular prism is a three-sided prism consisting of a triangular base, a translated duplicate, and three faces connecting similar sides. A right triangular prism has rectangular sides and is oblique otherwise.
A triangular prism is a three-sided prism consisting of a triangular base, a translated duplicate, and three faces connecting similar sides. The given net will form a triangular prism.
Learn more about Triangular Prism:
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solve for x leave answer in simplest radical form.
Answer:
4sqrt(15)
Step-by-step explanation:
a² + b² = c²
x² + 7² = 17²
x² + 49 = 289
x² = 240
[tex]\sqrt{x^2} =\sqrt{240}[/tex]
[tex]x=4\sqrt{15}[/tex]
1.4
2
Lawrence wants to drive from Durban to Johannesburg 550 km. if he travels at
an average speed of 100 km/hr, how long does he tale to get there?
If he leaves at 08:42 what time will he arrive at his destination
1.5
2
Answer:
5 hr 30 minutes
2:12 pm
Step-by-step explanation:
s= 550km
v = 100km/hr
t = ?
SPEED = DISTANCE/ TIME TAKEN
or, v = s/t
or, 100km/hr = 550km/ t
or, t = 550/100
t = 5.5
t = 5 hrs 30 minutes
8:42
+5:30
13 :72
which is 14 :12 = 2 :12
11 divided by 3 2/3 with step by step explination
Answer:
3
Step-by-step explanation:
11/1 divided by 11/3
keep change flip to get:
11/1 x 3/11
and multiply to get:
33/11
Simplify to get:
3/1 or 3
Answer:
3
Step-by-step explanation:
step one is to make the fraction into a unbalanced fraction
step two is to make it a proper fraction by switching the values (I am talking about 2 2/3s so you know)
Then remove the greatest common factor, so 11, and only three remains
HELP PLEASE!!! I need to name each angle
Answer:
XWZ and ZWX are the only ways to label this angle
Step-by-step explanation:
Find the sum of 3/4 and 5/10 pls
Answer:
Is it 1.25
I hope the helps!
Answer:
5/4 or decimal- 1.25
Step-by-step explanation:
3/4+5/10
=3/4+5/10
=3/4+1/2
=3/4+2/4
=3+2/4
=5/4
Add 1/4+9/14+6/7. Simplify the answer and write it as a mixed number.
Answer:
In words - thirty-nine ninths minus twenty-five ninths = fourteen ninths.
Brainliest for correct answer
Answer:
4
Step-by-step explanation:
The pre-image is the starting coordinates and it then gets larger. when you multiply four by 3 you get 12 and when you multiply four by -4 you get 16. So the pre-image dilated by 4.
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Step-by-step explanation:
You have to click the number of Xs for each kilometer travelled. For example, there are 2 "3 km" answers, so under the 3 column, you click 2 Xs.
Paulo has $145 in his saving account he earns $36 a week mowing lawns. How many weeks will he have to work to have over $433
Match the inequality Statement with an Equation.
Group of answer choices {select all that apply}
433 + 36 (x) > 145
36 (x) - 145 < 433
145 + 36x > 433
-145 + 36x < 433
Answer:
145 + 36x > 433
Step-by-step explanation:
36x + 145 > 433
Find the value of each variable. Line l is a tangent
Answer:
Step-by-step explanation:
A tangent to a circle is perpendicular to the diameter of that circle ⇒ c° = 90°
a° = 40°
b° = 140°
Dan has save 3200 cents from selling lemonade how many dollars does DAn have
Answer:
$32
Step-by-step explanation:
a dollar is 100 cents. so simply sake away the two zeros at the end.
Answer:
$32
Step-by-step explanation:
the answer is thirty two dollars because a dollar is 100 cents and 3200 ÷ 100 =32
A small box measures 7 in. by 10 in. by
3/4 in. high. Find the volume of the box.
Answer:
Volume = 52.5
Step-by-step explanation:
volume of a rectangular 3d shape can be calculated by length*width*height. In this case:
7*10*0.75 = 52.5