Imagine that two researchers, Bill and Ted, independently carry out clinical trials to test the same null hypothesis: H0: COX-2 selective inhibitors (used to treat arthritis) have no effect on the risk of cardiac arrest. They use the same population for their study, but Bill uses a sample size of 60 randomly selected subjects and Ted uses a sample size of 100 randomly selected subjects. Assuming all other aspects of their studies are the same, answer the following:

Required:
a. Whose study has the higher probability of a Type-II error?
b. Whose study has higher power?
c. Whose study has the higher probability of a Type-I error?
d. Should their alternative hypotheses be one-sided or two-sided? Explain
e. Suppose Bill’s analysis results in p-value = 0.03. What should be his conclusion?

Answers

Answer 1

Answer:

A) The 60-subject study will have the higher probability of a Type-II error.

B) 100-subject study will have higher power.

C) they will have the same probability of a Type-I error

D) Two tailed because either of the two results would be of interest

E) If p-value = 0.03, he should reject the null hypothesis if this p-value is less than the significance level. But if it's more than the significance level, he will fail to reject the null hypothesis.

Step-by-step explanation:

A) A type II error is an error that occurs when we accept the null hypothesis even though it is actually false.

Now, Smaller sample sizes usually would have a lesser chance of rejecting the null hypothesis even though it's false. Thus, the 60-subject study will have the higher probability of a Type-II error.

B) power = 1 - Pr(Type II error)

Since the 60-subject study has a higher probability of type II error it means it will have lesser power. Thus, 100-subject study will have higher power.

C) Type I error is when we incorrectly reject a true null hypothesis.

Pr(Type I error) = significance level

Now, since we are told that other aspects of their study are the same it means their significance levels are the same, it means they will have the same probability of a Type-I error

D) It should be two tailed because either of the two results would be of interest. It's either the drug was associated with more cardiac arrests or less potential treatment option.

E) If p-value = 0.03, he should reject the null hypothesis if this p-value is less than the significance level. But if it's more than the significance level, he will fail to reject the null hypothesis.


Related Questions

Which is a factor of
25
x
2

40
x
+
16
?

A.
5
x

4
B.
5
x
+
8
C.
5
x
+
4
D.
5
x

8

Answers

Answer:

OOOOOOOOOOOOOO9ONOOOOOOOOOOOO

Find the exact value using a half angle identity. Cos(-pi/8)

Answers

9514 1404 393

Answer:

  cos(-π/8) = (√(2+√2))/2

Step-by-step explanation:

The half-angle formula is ...

  [tex]\cos{\dfrac{\theta}{2}}=\pm\sqrt{\dfrac{1+\cos{\theta}}{2}}[/tex]

Since cosine is an even function, cos(-π/8) = cos(π/8).

For θ/2 = π/8, θ = π/4 and cos(θ) = (√2)/2. Filling in the formula, we have ...

  [tex]\cos{(-\dfrac{\pi}{8})}=\cos{\dfrac{\pi}{8}}=\sqrt{\dfrac{1+\cos{\dfrac{\pi}{4}}}{2}}=\sqrt{\dfrac{1+\dfrac{\sqrt{2}}{2}}{2}}\\\\=\sqrt{\dfrac{2+\sqrt{2}}{4}}=\boxed{\dfrac{\sqrt{2+\sqrt{2}}}{2}}[/tex]

4z-10=14 *
I can’t get the answer please help

Answers

Answer:

z = 6

Step-by-step explanation:

4z - 10 = 14

    + 10   +10

4z = 24

24 ÷ 4 = 6

n = 6

Write the equation of a line in point slope form that passes through (-1, 4), and is perpendicular to y = -4x +3

Answers

Answer:

y = 1/4x + 17/4

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Perpendicular lines have the negative reciprocal slope.

m = 1/4

y = 1/4x + b

4 = 1/4(-1) + b

4 = -1/4 + b

17/4 = b

y = 1/4x + 17/4

The 7th grade team went out for lunch. Their server brought the bill that totaled $72. The team wanted to tip the server 20% and there is also a 9% sales tax. How much will the 7th grade team spend after the tip and tax are added? Round your answer to the nearest cent if necessary.

Answers

Answer:

I think it's 92.88

Step-by-step explanation:

add up 20 and 9 to get a total of 29%

then multiply .29 and 72 to get 20.88

then add 20.88 and 72 to get the total cost including tips and tax

Find the value of x.

Answers

Answer:

27=x

Step-by-step explanation:

Although it looks slanted, it is an 90 degree angle. Let's make an equation.

90= 55+x+8

90=   63+x

-63     -63

27=x

hope this helps!

Answer:

27

Step-by-step explanation:

180-90=90

90-55=35

35=x+8

X=27

In order to be considered a citizen in ancient Greece a man had to _______.
a.
be a member of the noble class
c.
be literate and speak Greek
b.
be able to pay the annual tax
d.
be native-born and own land


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

D. Native born and own land

Step-by-step explanation:

I took the test

Answer:

D

Step-by-step explanation:

took the test.

Suppose you invested 2000 in a compound interest account earning 10% per month. How much would you have in your account at the end of 5 months?​

Answers

Answer:

she ate my. s aa a awwosewrtfgfdswertyu

Step-by-step explanation:

wwwwojwojwowj

Answer:

$3,221.02

Step-by-step explanation:

Month 1: $2000 x 1.10 = $2,200

Month 2 = $2,200 x 1.10 = $2,420

Month 3 = $2,420 x 1.10 = $2,662

Month 4 = $2,662 x 1.10 = $2,928.2

Month 5 = $2,928.2 x 1.10 = $3,221.02

Given the following functions: f(x) = x2 – 5 and g(x) = x - 3.
Find f(g(x))

Answers

Answer:

f(g)x))= x^2 -6x +4

Step-by-step explanation:

first, plug in g(x) into f(x): f(g)x)) =(x-3)^2 -5

then, you simplify the (x-3)^2 into (x-3)(x-3): f(g)x))= (x-3)(x-3) -5

when you distribute the two (x-3) you end up with: f(g)x))= x^2 -6x +9 -5

finally, you combine like terms and subtract 5 from 9 and your final answer is : f(g)x))= x^2 -6x +4

note: x^2 is x squared or exponent of 2

I will give you branilest!

When you mix two colors of paint in equivalent ratios, the resulting color is always the same. Complete the table as you answer the questions.


cups of blue paint cups of yellow paint
2 10
1 5
3 15

3. What is the proportional relationship represented by this table?

The amount of (blue paint or red paint?) is (proportional or related?)to the amount of [yellow paint or green paint? ] .

Answers

Answer:

When simplified they all are 1/5

So yes they are proportional

There are 72 female performers in a dance recital. The ratio of men to women is 2:3.
How many men are in the dance recital?

Answers

Answer:

48

Step-by-step explanation:

72 ÷ 3 = 24

so you know that the men is 24 × 2 = 48

48:72 = 2:3

Prove the polynomial identity. (2x−1)2+2(2x−1)=(2x+1)(2x−1) Drag and drop the expressions to correctly complete the proof of the polynomial identity. (2x−1)2+2(2x−1)=(2x+1)(2x−1) Response area+4x−2=(2x+1)(2x−1) Response area=(2x+1)(2x−1) Response area=(2x+1)(2x−1)

Answers

Answer:

Step-by-step explanation:

Given expression is,

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

To prove this identity we will take the left hand side of the equation and will prove equal to the right side.

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

4x² - 4x + 1 + 4x - 2 = (2x - 1)(2x + 1)

4x² - 1 = (2x - 1)(2x + 1)

(2x - 1)(2x + 1) = (2x - 1)(2x + 1) [Since a² - b² = (a - b)(a + b)]

what number is rational?

Answers

Answer:

0.33333333333333

Step-by-step explanation:

1,2,1,10,1,50,1 what is the next number

Answers

Answer:

250

Step-by-step explanation:

its 1 and then the number before it times 5. without the ones it would be 2,10,50,250

Answer:

250

Step-by-step explanation:

theres a pattern, after every 1 you multiply by 5, for example 2x5=10 10x5=50 50x5=250

Netlfix charges $30 a month plus $5 per movie. Hulu charges $26 a month plus $ per movie. How many movies will you need to watch for the Netflix membership to pay off and cost you less?

Answers

The question is incomplete:

Netlfix charges $30 a month plus $5 per movie. Hulu charges $26 a month plus $7 per movie. How many movies will you need to watch for the Netflix membership to pay off and cost you less?

Answer:

3 movies

Step-by-step explanation:

From the information given, you can write an inequality that indicates that Netflix membership costs less than Hulu membership:

30+5x<26+7x

Now, you can solve for x:

30-26<7x-5x

4<2x

4/2<x

x>2

According to this, the answer is that you will need to watch 3 movies for the Netflix membership to pay off and cost you less.

3g + 5 = 7g + 4 asap and please show work!!!!

Answers

0.25 is the answer which is the same as 1/4 just as a decimal

The solution of the equation 3g + 5 = 7g + 4 will be 1/4.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

3g + 5 = 7g + 4

Simplify the equation, then we have

3g + 5 = 7g + 4

- 7g + 3g = 4 - 5

- 4g = - 1

g = (-1) / (-4)

g = 1 / 4

The solution of the equation 3g + 5 = 7g + 4 will be 1/4.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

6x-2x+11= -5

xs are unknown, not multiply.​

Answers

X=-4
Pls mark me brainliest

Step-by-step explanation:

6x-2x+11=-5. 6x-2x=-5-11. 4x=16 4x/4=16/4. x=4

Dan’s number is three times more than Michael’s. The sum of their numbers is 48. What are their numbers?

Answers

Answer:

michael's number is 12, therefore Dan's is 36.

Step-by-step explanation:

48= michael's number+ 3 times Michael's number

48= m+3m

48= 4m

48÷4= 12 = michael's number

since Dan's is 3 times Michael's, his number is 36.

Answer: Michale's number is 12 and Dan's is 36

Step-by-step explanation:

Using ratios you can create 3:1 which is Dan's ratio to Michale.

You add 3 and 1, which gives you 4.

Divide 48 by 4, which gives you 12.

Michale's part of the ratio is 12 as he has three times less than Dan.

Which concludes that Dan has 36 and Michale has 12.

What is 805 x 4 and What is 3,220 divided by 4?

Answers

Answer:

805 x 4 = 3,220

3,220 / 4 = 805

Step-by-step explanation:

Its the same thing but backwards!

Stay Safe!

The age of earth’s crust is 5 · 10^9 years. Express this number as an integer.

Answers

Answer:

5,000,000,000 (see below)

Step-by-step explanation:

Integers are whole numbers and their opposites. That doesn't include fractions or decimals, even if they're negative. Being negative doesn't do anything, really.

For example, 5 and –5 are integers, but 5.1 or –5.3 are not integers. They're decimals, which means they're rational.

Integers also include 0.

Whole numbers do not include 0, so they're only 1, 2, 3, 4, 5, 6, 7, 8, 9 . . . and so on.

All whole numbers are integers.

So in order to find 5 × [tex]10^{9}[/tex] as an integer, you'll have to multiply the 5 and [tex]10^{9}[/tex] together.

[tex]10^{9}[/tex] is simply nine zeros, so it's: 1,000,000,000.

5 × 1,000,000,000 = 5,000,000,000

5,000,000,000 is not a decimal or fraction—and it also isn't negative. That means it's a whole number. Which qualifies it as an integer as well.

Which statement is true about the graphs of the two lines y = x + 2 and y = x ?

Answers

Answer:

I'm going to guess a statment since you didn't provide any

they both have a slope of 1x

Step-by-step explanation:

using your value of x for question number 11 find the measure of angle h will mark brainiest this is so hard ty so much​

Answers

Answer:

∠H = 58

Step-by-step explanation:

using the value of x = 20 from number 11

solve the angle H

∠H = 3x - 2

plugin the value of x=20 into the equation

∠H = 3(20) - 2

∠H = 58

The quotient of the difference of 5 times x cubed and 4 and x

Answers

Answer:

[tex] \frac{5x {}^{3} - 4 }{x} [/tex]

The four in the hundred
thousands place is
the
value of the four in the millions
place
4,473,774

Answers

Answer:

1/10th of the value of the four in the millions place

might be wrong....

not sure.....

i can't delete my answer though so....

i apologize

NEED HELP PLEASE !

Can you conclude that the following is a rhombus, rectangle, or square?
A parallelogram's diagonals form eight congruent angles at the vertices.

Answers

B but can we see a pic

In a square, opposite sides are parallel, all sides are equal, and the angles made by the diagonals are equal, that is 45°.

What is a parallelogram?

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

In a rectangle, opposite sides are parallel and equal, but the angles made by the diagonals are different.

In a rhombus, opposite sides are parallel and all sides are equal, but the angles made by the diagonals are different.

In a square, opposite sides are parallel, all sides are equal, and the angles made by the diagonals are equal, that is 45°.

More about the parallelogram link is given below.

https://brainly.com/question/1563728

#SPJ2

There is no options to choose from and I need to find slope help due today

Answers

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To find the slope we need two points.

A = ( -2 , 5 ) & B = ( 0 , 2 ) & C = ( 2 , -1 )

I choose A and B .

_________________________________

We have following equation to find the slope using two points.

[tex]slope= \frac{y(B) - y(A)}{x(B) - x(A)} \\ [/tex]

Now just need to put the coordinates in the above equation.

Let's do it...

[tex]slope = \frac{2 - 5}{0 - ( - 2)} \\ [/tex]

[tex]slope = \frac{ - 3}{2} \\ [/tex]

[tex]slope = - \frac{3}{2} \\ [/tex]

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I suggest to find the slope using A , C

and B , C to can understand exactly what did I do buddy.

Good luck ♥️♥️♥️♥️♥️

A group of friends were working on a student film. They spent $182 on equipment, which was 26% of their total budget. What was the total budget for their student film?

I'm not sure about this question, can some please help, I will make sure to mark you brainliest! Also if you help me I give a big amount of points!

Answers

Answer:

47.32

Step-by-step explanation:

47.32 is the correct answer

Which statement is true?(n+4)-7=18

Answers

Answer:

21

Step-by-step explanation:

(21 plus 4)=25

25 minus 7=18

~~~How I got 21~~~

I find the number that will be reasonable like 20 and work my way up

~~~Hope this helps~~~

Answer:

[tex](n+4)-7=18 \\ n = 18 + 7 - 4 \\ n = 21.[/tex]

describe the translation from the red figure to the blue figure

Answers

Answer:

Step-by-step explanation:

From the figure attached,

Coordinates of point A → (2, 3)

Coordinates of point A' → (-3, 1)

Figure shows the translation of point A to point A'.

Relation → A(2, 3) → A'(-3, 1)

                             → A'[(2 - 5), (3 - 2)]

Therefore, rule followed for the translation was,

(x, y) → [(x- 5), (y - 2)]

Quadrilateral in red has been shifted by 5 units left and 2 units down to form the image quadrilateral in blue.

Answer:

The quadrilateral in red has been shifted by 5 units left and 2 units down to form the image quadrilateral in blue.

Step-by-step explanation:

HELP ASAP This is very hard

Answers

Answer:

- 11/5

decimal : -2.2

mixed number -2. 1/5

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eggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggegg Use context to determine the meaning of the word imperious as it is used in paragraph 19 of Sorry, Wrong Number. Write your definition of imperious here and explain how you figured it out. THIS IS ELA SORRY WRONG NUMBER FROM STUDY SYNC PLEASE HELP ME ASAP!!!!! How many atoks are in each element sampke? 16.5 g Sr, 26.5 g Fe, 7.73 g Bi, 36.4 g P what is the distance between the points (0,-1) and (8,7) someone please help me ASAP Please help I've been staring at this thing for 30 minutes it says I have to match the segments with its measure I don't understand what goes where :( Hi plz help its argent its for Spanish Answer these question for brainlist and 5 stars Kaitlin runs 6 miles in 50 minutes at the same rate how many miles would she run in 35 minutes select a pair of numbers that have a sum of 9 and a difference of 1 3y-9x=21standard to slope intercept simplified B) 192.75 Place Value Chart with Decimalsten thousandthousandshundredstens onestenthshundredthsthousandthsExpanded Notation:Word Form: Select whether each value for x will make the inequality below a True or False statement. x + 2 > 5.83 True or False 6 True or False7.1 True or False 5/3 True or False19/5 True or False 45/7 True or False Solve: sqrt(x+9) = x-3 How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of4 1/2 mph A recipe calls for 3 3/4 cups of flour. How many cups will you need if you are preparing 5 batches of the recipe? How does the Gulf Stream affect weather in the United States?A. It brings cooler temperatures from the poles. B. It brings cooler temperatures from the tropics. C. The warm surface currents help create storms and fog. D. The cool surface currents produce cooler weather and fog. 4.How does Walter's description of bravery develop the theme of the story? (Paragraphs43-45)A. It reveals the courage it takes to admit a mistake.B. It reveals the impact regret can have on a person.C. It reveals the damaging effects of revenge.D. It reveals the unreliable nature of gossip. I need help in solving this problem. I need it to be factored by the GCF. I know the answer is (x-3)(5x-1), but I need the work.5x^2-16x+3I also have 2x^2+7x+5 and the answer to it is (2x+5)(x+1), but I also need to work too. 1. X/5 + 6 20B.X-20C.x