The Walt Disney Company, the production studio behind the Marvel Cinematic Universe, is trying to find the best release date for their new super hero movie. They are hesitating between the summer and winter holiday release, and they want to know if there is any difference between the earning potential during those seasons. The analytics division in the company examined a random sample of box-office data for movies released during the past 5 years in the USA and Canada and found that 52 out of 1258 movies with summer release date earned over 400 million dollars. They also counted that out of 545 movies released in the winter, 8 earned over 400 million dollars.
Over 4 million USD Under 4 million USD
Summer release 57 1251
Winter release 11 544
Total
1. We want to investigate whether there is a difference in the proportion of movies that eam over 400 million dollars for the two release seasons. Which hypotheses should we use?
2. Calculate the difference in the proportions of movies that eamed over 400 million dollars.
3. The paragraph below describes the set up for a randomization test, if we were to conduct a hypothesis test without using software. Fill in the blanks with a number.
We write Summer on_____cards and cards representing the movies with summer release date, and Winter on_____cards. Then, we shuffle these cards and split them into two groups one group of size_____representing the movies with box-office over 400 million dollars, and another group of size_____representing the rest of the movies. We calculate the difference in the proportions of movies that eaned over 400 million dollars during the two release seasons to get PSmmer PWinter. Finally, we build a histogram of these simulated dfterences.

Answers

Answer 1

Answer:

Step-by-step explanation:

                           Over 4 million USD    Under 4 million USD    Total

Summer release      57                               1195                         1251

Winter release         11                                533                           544

1)Let [tex]P_1[/tex] be the proportion of movies that earn over 400 million in summer and [tex]P_2[/tex] be the proportion of movies that earn over 400 million in winter.

Null hypothesis:[tex]H_0:P_1= P_2[/tex]

Alternate hypothesis : [tex]H_a: P_1 \neq P_2[/tex]

2)Calculate the difference in the proportions of movies that earned over 400 million dollars.

[tex]P_1=\frac{57}{1251}=0.045[/tex]

[tex]P_2=\frac{11}{544}=0.0202[/tex]

3)

[tex]P_{(Summer)}-P_{(winter)}=0.045-0.0202=0.0248[/tex]

We write Summer on 1251 cards and cards representing the movies with summer release date, and Winter on 544 cards. Then, we shuffle these cards and split them into two groups one group of size 68 representing the movies with box-office over 400 million dollars, and another group of size representing 1728 the rest of the movies.


Related Questions

In a chemistry class, 12 L of a 12% alcohol solution must be mixed with a 20% solution to get a 14% solution. How many liters of the 20% solution are needed?

Answers

Let x = liters 20% solution to be added
then

.12(12) + .20x = .14(12+x)
.12(12) + .20x = .14(12+x)
1.44 + .20x = 1.68 + .14x
.20x = .24 + .14x
.06x = .24
x = 4 liters


Hope this helped!!

4 liters of 20% solution are needed to get a 14% solution.

Suppose x liters of 20% solution is needed to get a 14% solution.

What is a solution?

The solution is a homogenous mixture of two or more substances in relative amounts.

So, according to the question

Final concentration of solution = 14%

So, 12% of 12  + 20% of x = 14% of (12+x)

12*12/100 + 20*x/100 = 14*(12+x)/100

144 + 20x = 168 + 14x

6x =24

x=4

4 liters of 20% solution is needed to get a 14% solution.

Therefore, 4 liters of 20% solution is needed to get a 14% solution.

To get more about mixtures and alligations visit:

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In ΔTUV, t = 69 inches, u = 74 inches and v=14 inches. Find the measure of ∠T to the nearest degree.

Answers

Answer:64

Step-by-step explanation:

comment section

Answer:

64

Step-by-step explanation:

Given that the expression "p dollars for every q items" describes a unit price, which statement must be true? p=1 p=9 q=1 pg= 1​

Answers

Answer:

p = q

Step-by-step explanation:

Answer:

the answer is q=1

Step-by-step explanation:

I did the quiz

is (5,15) a solution of the equation y= 3x? (plz answer asap)

Answers

Answer:

Yes

Step-by-step explanation:

15 = 3(5)

15 = 15

You plug in the point

Plz help 30 points to whoever answers correctly. Write an equation of the parábola in intercept form. X-intercepts of 3 and 6 passes through (9,-9)

Answers

Answer:

k lemmee checkkkkkkkk

Solve for x:

20- 3x= -3(x-8)​

Answers

Answer:

[tex]20 - 3x = - 3( x - 8) \\ 20 - 3x = - 3x + 24 \\ - 3x + 3x = 24 - 20 \\ 0 = 4[/tex]

It does not have any answer.

Changing Scales in Scale Drawings- (question in picture attachment)

Answers

i dont get it

Step-by-step explanation:

Can you help me with this?​

Answers

Answer:

I need some more context

Step-by-step explanation:

6÷2+3×100000000000000000000000000000000000000000​

Answers

Answer:

3E41

Step-by-step explanation:

hope it helps

Answer:

3e+40

Step-by-step explanation:

pls give me brainliest

The following table shows the cost of 444 party favor packs. For example, the Slinky costs \$9$9dollar sign, 9 for a pack of 555.
Toy pack Cost (dollars) Quantity
Slinky 999 555
Wind-up robot 161616 888
Yo-yo 151515 666
Emoji beach ball 333 222
Which toy pack has a cost of \$2.50$2.50dollar sign, 2, point, 50 per toy

Answers

Answer:

yoyo

Step-by-step explanation:

Answer: the answer is yo-yo

Step-by-step explanation:

because they say the 6-yo-yo cost 15 dollars. So if you take 6 and multiply it by 2.5 it gives you 15 dollars. Hope this helps

Leah’s family took a 3-hour trip in a car. They left at 10:30 am. What time did Leah’s family arrive?

Answers

Answer:

1:30 Pm

Step-by-step explanation:

If the car ride was exactly 3 hours and they left and exactly 10:30 am then its would be 1:30pm because it goes 10:30 11:30 12:30 then 1:30

The length of a rectangle is 10 meters more than the width. If 3 meters is added to both the length and the width, the new area will be 299 square meters. Find the length and width of the original rectangle.
HELP HELP HELP HELP

Answers

Answer:

L = 20

W = 10

Step-by-step explanation:

L = (w + 10)

NL = (w + 13)

Divide 299 by 13:

299 ÷ 13 = 23

So, 23 x 13 = 299

L = 23

W = 13

Subtract 3 from both to get the original length and width

explicit form of x^2 - y^2 = 25

Answers

Answer: x - y = 5

Step-by-step explanation: since it’s squared you do inverse operation and square root of 25 is five and square root of x squared and why squared is x

i mark as brainliest ​

Answers

Answer:

195

Step-by-step explanation:

Hope This Helps!

A triangle has two sides of length 2 and 15. What compound inequality describes the possible
lengths for the third side, X?

Answers

Answer:

13<X<17

Step-by-step explanation:

Triangular Inequalities state that a side is always greater than the absolute value of the difference of the other two sides and less than the sum of the other two sides. You use the inequality |a-b|<c<a+b with a, b, and c as the lengths of the sides.

When you plug in the numbers, (X being c, 2 being b, and 15 being a) you get

|15-2|<X<15+2

|13|<X<17

Which brings us to our final answer of:

13<X<17

How many 2/3 go into 4

Answers

Answer:

it goes into 4, 6 times

Step-by-step explanation:

[tex]\frac{2}{3}[/tex]  ÷  [tex]4[/tex]

Hope this helps

What is the answer to -1x(-2)

Answers

Answer: 2x

Step-by-step explanation:

Answer:

2x

Step-by-step explanation:

Since there's two negative signs, the product should be positive. Just multiply 1x and 2 together to get the answer. :D

A study conducted in year 2002 found that the mean number of children under 18 per household in a certain community was 1.7. A statistician is trying to determine whether this number has changed in the last 6 years. She declares the null and alternative hypotheses to be: Null: The mean number of children per household in 2002 is equal to 1.7; Alternative: The mean number of children per household in 2002 is not equal to 1.7. Which of the following statements is true about this test?

a. This is a step-tailed test.
b. This is a left-tailed test.
c. This is a two-tailed test.
d. This is a right-tailed test.

Answers

Answer:

c. This is a two-tailed test.

Step-by-step explanation:

When the rejection region is divided between the two tails of the sampling distribution of the test statistic the test is referred to as two tailed or two sided test. In this case the alternative is set up as

Ha : u≠ 1.7

meaning that values both larger and smaller than u are to be included.

When the alternative hypothesis has the "not equal to sign"  it gives the two tailed test.

Find the critical t-value for a 98% confidence interval estimation if the sample size equals 11. (Round your solution to 4 decimal places)

Answers

Answer:

2.764

Step-by-step explanation:

Critical value = tα/2, degrees of freedom

Degrees of freedom = n - 1

n = 11

Degrees of freedom = 11 - 1

= 10

tα/2 = 100 - 98%/2

= 2%/2

= 1%

= 0.01

Critical value = 0.01, 10

Using the Critical T value table, the Critical T value for

two tails( a degree of significance of 0.02 and degree of freedom of 10) or one tail (0.01, 10) = 2.764

Find the remainder when f(x) is divided by g(x) given that f(x) = 4x3 − 5x2 − 3x + 2 and g(x) = x − 3.

Answers

Given:

[tex]f(x)=4x^3-5x^2-3x+2[/tex]

[tex]g(x)=x-3[/tex]

To find:

The remainder when f(x) is divided by g(x).

Solution:

According to remainder theorem, if f(x) is divides by (x-c), then remainder is f(c).

Using remainder theorem, if [tex]f(x)=4x^3-5x^2-3x+2[/tex] is divides by [tex]g(x)=x-3[/tex], then remainder is f(3).

Substitute x=3 in f(x).

[tex]f(3)=4(3)^3-5(3)^2-3(3)+2[/tex]

[tex]f(3)=4(27)-5(9)-9+2[/tex]

[tex]f(3)=108-45-7[/tex]

[tex]f(3)=56[/tex]

Therefore, the required remainder is 56.

Find the value of f'(4) when
f(x)=5/3x^3/2+8x^1/2

Answers

To figure this out plug in 4 for x

f(4)=5/3(4)^3/2+8(4)^1/2 = 5/3(8) + 8(2)
= 5/3 x 8 + 16 = 40/3 +16 = 88/3

Hope this helps!

1) Suppose you buy a laptop costing $1850 at a store charging 12% add-on interest, and you make a $500 down payment.

Answers

Find the exact value using trigonometric identities.

1850 , 0.12 , − o n , 500 a

What type of number is V40?
Choose all answers that apply:
А
Whole number
B
Integer
С
Rational
D
Irrational
PLEASE ANSWER!!!

Answers

Answer:

A, B, and C

Step-by-step explanation: I'm going to assume the V is a typo. 40 is a whole number (it isnt a fraction or decimal), an integer, and rational because it is a real number and ends.

An airplane cover 1020km in an hour. How much distance will it cover in 25/6 hours

Answers

Answer:

4250 km

Step-by-step explanation:

If we convert 25/6 into a mixed fraction, we get 4 1/6. Since we already know the plane goes for four hours already, we can multiply 1020 km x 4. That would give us 4080. Now that we converted the equation into a mixed fraction, we also know that the plane goes for an extra 1/6 hour. We divide 1020/6 because it is a sixth of an hour and the plane can travel 1020 in an hour. We get 170 km for 1/6 of an hour.

4080km + 170km= 4250 km

Given : An airplane cover 1020km in an hour.

To Find : How much distance will it cover in 25/6 hours .

Solution : It is given that an airplane covers 1020 km in one hour , this implies that the speed of the airplane is 1020km/hr .

Now , it is asked to find that how much distance it will cover in 25/6 hours .

Here ,

Speed = 1020km/hr .Time = 25/6 hr .Distance = ? .

★ We know a relation between speed , distance & time as ,

[tex]\boxed{\red{\bf Distance = Speed \times time }}[/tex]

⇒ Distance = Speed × Time .

⇒ Distance = 1020km/hr × 25/6 hr .

Distance = 4250 km .

Hence the distance travelled is 4250km.

pleas help ill give brainiest

Answers

Given:

Initial amount in the account = $1,000

Interest rate = 3.25%

Since the type of interest is simple, 3.25 % of 1000 will be added to that account every year with no increase in the incrementing amount

Amount increased in 18 years:

Amount increased every year = 3.25 * 1000 / 100  = $32.5

Amount increased in 18 years = amount gained in 1 year * 18

Amount increased in 18 years = 32.5 * 18 = $585

Total amount in John's bank account at the age of 18:

Initial amount + amount increased in 18 years

1000 + 585

$1,585

What is the answer to this question and please give an explanation. Please help me. Thank you.​

Answers

Answer:

No, your classmate is not correct because the line isn't a line segment but a line and a line is never ending so their isn't a middle and their can't be those angles.

Review the proof of de Moivre’s theorem (not in order).

Proof of de Moivre's Theorem
[cos(θ) + isin(θ)]k + 1
A = [cos(θ) + isin(θ)]k ∙ [cos(θ) + isin(θ)]1
B = cos(kθ + θ) + isin(kθ + θ)
C = cos(kθ)cos(θ) − sin(kθ)sin(θ) + i[sin(kθ)cos(θ) + cos(kθ)sin(θ)]
D = [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)]
E = cos[(k + 1)θ] + isin[(k + 1)θ]
Which steps must be switched to put the proof in order?

steps B and C
steps B and D
steps C and D
steps C and E

Answers

Answer:

steps B and D

Step-by-step explanation:

the correct chart is below :)

The steps which must be switched to put the proof in order are steps B and D

Since [cos(θ) + isin(θ)]k + 1

= [cos(θ) + isin(θ)]k ∙ [cos(θ) + isin(θ)]1

= [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)]

= cos(kθ)cos(θ) − sin(kθ)sin(θ) + i[sin(kθ)cos(θ) + cos(kθ)sin(θ)]

= cos(kθ + θ) + isin(kθ + θ)

= cos[(k + 1)θ] + isin[(k + 1)θ]

Since the step after A is [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)] = D, and the step after C is cos(kθ + θ) + isin(kθ + θ) = B.

So, steps B and D must be switched.

The steps which must be switched to put the proof in order are steps B and D.

Learn more about De Moivre's theorem here:

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12 =7 solve.



Bro wat does this mean i dont get it please help someone :\

Answers

Answer:

if it says 12x = 7

the u will divide the 12 on both sides and x will equal to 7/12,,

if it simply says 12 = 7 then put false cause that's not true!!

1) In a yoga class, 75% of the students are women. There are 24 women in the class. How many students are in the class?

A. 18
B. 30
C. 32
D. 42
----------------------------------------------------------------------------------------------------------------------------
2) It is Attached below:

Answers

Answer:

For the first question: C. 32

For the second question: D. 15

Step-by-step explanation:

If 75% of the students are women, and there's 24 women, first you would have to divide 24 by 3. This equals 8. So, add 8 to 24 because 8 is 1/4th of the yoga class. 8 + 24 = 32.

If you mark all of the coordinates and draw lines to make a rectangle, then count all the units until the end of the line, the longer sides are 15 units and the shorter sides are 11 units.

. (2 points each) How many ways are there to choose a dozen (12) donuts from 18 varieties if(a) there are no two donuts of the same variety

Answers

Answer:

There are 455 ways

Step-by-step explanation:

Here, we want to find the number of ways to select 12 donuts out of 18 donuts given that all the donuts are different

Mathematically, that would be;

18 C 2

= 18!/(18-12)!12! = 18!/6!12! = 455

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