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

Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play. Each pair of wings is made with ¾ yard of fabric. The fabric costs $8 per yard. You'll apply properties of multiplication in the following steps to find the total cost of the fabric.​

Answers

you will need 9 and 3/4 for the 13 pairs of butterfly wings. if you were doing that, the total price would be $78. if you needed to have a whole number for yards, you would round up to 10 and the total price would be $80

Answer:

you will need 9 and 3/4 for the 13 pairs of butterfly wings. if you were doing that, the total price would be $78. if you needed to have a whole number for yards, you would round up to 10 and the total price would be $80

Jack owes a total of $24.00 to 6 different friends. If Jack owes each friend an equal amount, which answer choice represents the change in Jack's money when he pays one friend?

Answers

Answer:

5555555555555555555225313

Step-by-step explanation:

3

6

554

Answer:

$20.00

Step-by-step explanation:

24.00/6=4 so 24-4=20.00

Please help this is due today!! Question: What is the relationship between the 6s in 660,472?​

Answers

Answer:

The first 6 is in the hundred thousands place.

The second 6 is in the ten thousands place.

Here are the info for the rest of the numbers:

6 = hundred thousands

6 = ten thousands

0 = thousands

,

4 = hundreds

7 = tens

2 = ones

Hope this helps you!

Best of luck!

Pls help with 7th grade math pls quick I’ll give brainliest

Answers

Answer:

Drops by 1/6

Step-by-step explanation:

1 1/2 /=/ 1 2/3    1 1/2= 1 3/6=1 1/2=1 2/6

A certain list contains 11 consecutive multiples of 3.
The first number is 21. What is the middle number?

Answers

Answer:

If this set contains an odd number of elements, say, 3, 6 and 9, then median of a set will ... as well as the mean of this set, will equal the mean of the two middle elements. ... the statement (1) says: All members of S are consecutive multiples of 3 ... I think the right answer is C, since 9 + 12 + 15 + 18 + 21 = 75

Step-by-step explanation:

We can't write every number as a sum of consecutive numbers - for example, 2, ... the sum is an odd number, e.g. 1+2=3 2+3=5 3+4=7 4+5=9 5+6=11 6+7=13 ... Some spotted a similar pattern for multiples of 3. ... If you add any 3 consecutive numbers together it will always equal a multiple of 3, e.g. ... 1+2+3+4+5+6=21

Answer:

36

Step-by-step explanation:

11 multiples of 3 starting from 21 - 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51

21 is the first

51 is the last

36 is in the middle

(Essential Question) How do you create equations and use them to solve problems?

Answers

Answer:

Step-by-step explanation:

equations are created to solve for a certain variable. you can use the data given in the word problem to formulate a valid equation that incorporates all important components of the word problem. the variable can be represented as any letter (most commonly x or y) to find a value that is inconsistent or unknown. this is helpful to find a certain thing in the problem, such as the amount of hours needed to earn a certain amount of money.

Answer:

Equations are created to solve for a certain variable. you can use the data given in the word problem to formulate a valid equation that incorporates all important components of the word problem. the variable can be represented as any letter (most commonly x or y) to find a value that is inconsistent or unknown. this is helpful to find a certain thing in the problem, such as the number of hours needed to earn a certain amount of money.

i need help please!!

Answers

It’s A. They’re eliminating the x term and they multiply by -2 to add 2x and -2x so it’s A

what equation equivalent to 4x - 6y = 12

Answers

Answer:

12+6y=4x

Step-by-step explanation:

Answer:

y=2/3x−2

Step-by-step explanation:

The number of suitcases lost by airlines.

Answers

Answer:

4.3 billion

Step-by-step explanation:

Pick the answer that represents two inequalities using the following pair of numbers.



-21 and -22


−21 > −22; −22 > −21−21 > −22; −22 > −21 (A)

−21 < −22; −22 < −21−21 < −22; −22 < −21 (B)

−21 > −22; −22 < −21−21 > −22; −22 < −21 (C)

−21 < −22; −22 > −21 (D)

Answers

Answer:

C

Step-by-step explanation:

it's the only one whose inequalities match up, because 0 > -21 > -22

Answer:

C

Step-by-step explanation:

I mark as brainliest ​

Answers

The answer is (5,0)
Hope it works!

The value of the x-intercept for the graph of 4x - 5y = 40 is

Answers

Answer: The x intercept is 10   or (10,0)

Step-by-step explanation:

4x - 5y = 40   The x-intercept of a line is when its y coordinate is equal to zero. Input zero into the equation for y and solve for x to find the x intercept.

4x-5(0) = 40

4x + 0  = 40

  4x = 40    

 x=  10

The x intercept is 10   or (10,0)

Malcolm drew a circle with a diameter of d units, a radius of runits, a circumference of C units, and an area of A units. Which of the following could Malcolm use with his circle to define
PI?

HELP ME

Answers

Answer:

c because definition of circumference: the enclosing boundary of a curved geometric figure, especially a circle.

Answer:

C

Step-by-step explanation: water

Use partial quotients to divide. Show your work.
)
​___ group(s) of
​___ group(s) of
​___ group(s) of
0
Add the partial quotients.

Answers

I need more information on what I'm meant to be doing so I can help you because I don't understand the question after I re-read it over and over again.

Which number
not in scientific notation?
6x10^24
2.01x10^-2
1.3x10^-4
0.5x10^3

Answers

Answer:

It's 0.5x10^3

Step-by-step explanation: A number in scientific notation has to be between 1 an 10. It can't be less than one or 10.

I think the answer would be 0.5x10^3

Solve the absolute value equation for n
1-8n +41 + 6 = 34

Answers

Answer:

n=1.85

Step-by-step explanation:

1-8n+41+6=36

-7n+47=36

shift 47 to the other side

-7n=36-47

-7n=-13

n=-13/-7

cancel the negative sign

n=13/7

n=1.85

please mark as brainliest!!!

In the accompanying diagram, AB, CD, and EF intersect at O. If CD I EF and m ZAOE = 32, find m ZAOF.

Answers

   In this study, we tested the effects of NEAA-deprived diets and checkpoint inhibitor anti-PD-1 and anti-PD-L1 in colon cancer using syngeneic mouse model (Balb/c) bearing tumors of mouse colorectal cancer cell line CT-26. Three diets were tested, including a natural rodent diet Teklad ENVIGO Global 16% Protein Rodent Diet (control 1), a formulated NEAA-complete diet COMPLETE (control 2, using amino acid mix in place of protein), and a formulated NEAA-deprived diet FTN203 (treatment, using amino acid mix in place of protein). Both COMPLETE and FTN203 have the same nutritional structures, contain 17% w/w protein equivalent, and are isocaloric. After tumor size-based randomization, these diets were provided to mice ad libitum throughout the whole test. Each of these diets was used alone or combined with anti-PD-1 antibody (i.p., twice per week for 2 weeks) or anti-PD-L1 antibody (i.v., twice per week for 2 weeks).In this study, we tested the effects of NEAA-deprived diets and checkpoint inhibitor anti-PD-1 and anti-PD-L1 in colon cancer using syngeneic mouse model (Balb/c) bearing tumors of mouse colorectal cancer cell line CT-26. Three diets were tested, including a natural rodent diet Teklad ENVIGO Global 16% Protein Rodent Diet (control 1), a formulated NEAA-complete diet COMPLETE (control 2, using amino acid mix in place of protein), and a formulated NEAA-deprived diet FTN203 (treatment, using amino acid mix in place of protein). Both COMPLETE and FTN203 have the same nutritional structures, contain 17% w/w protein equivalent, and are isocaloric. After tumor size-based randomization, these diets were provided to mice ad libitum throughout the whole test. Each of these diets was used alone or combined with anti-PD-1 antibody (i.p., twice per week for 2 weeks) or anti-PD-L1 antibody (i.v., twice per week for 2 weeks).

"if A, then B" is the form of a _______statement

Answers

I don’t see any answer options but if the question is:

"If A, then B" is the form of a _____ statement.

A. false
B. deductive
C. conditional
D. true


Then I think that the answer is C.

The United States of America consists of 50 states and _____ territories.
A.
3
B.
4
C.
5
D.
6

Answers

Answer:

USA has five territories. 5 have a permanent, nonmilitary population but tbe over nine don't. 14 all together.

Answer:

C.) 5

Step-by-step explanation:

Hope you have a good day and get good grades

Find the slope of the line that is perpendicular to the graph of the equation y-4x=1

Answers

Answer:

y=-1/4x+1

Step-by-step explanation:

the quotient of 9 3/4 and 5/8​

Answers

Answer:

15.6

Step-by-step explanation:

The answer is 15.6 because if you divide 9 3/4 by 5/8, you get 78/5, or 15.6 in decimal form. Hope it helps!

15.6. If you convert 9 3/4 to a decimal, you get 9.75. 5/8 as a decimal would be .625. Divide those, and you get 15.6z

Please help ! :))
Find the equation of a line perpendicular to -3x + y=-5 that contains the point (1,4). Write the equation in slope.

Answers

Answer:

  y = -1/3x + 13/3

Step-by-step explanation:

-3x + y=-5

y = 3x -5

Slope of perpendicular line is the opposite inverse so 3 becomes -1/3.

y-intercept going through point (1, 4):

y = mx + b

4 = -1/3(1) + b

4 = -1/3 + b

b = 13/3

Perpendicular equation of a line:

y = mx + b

y = -1/3x + 13/3

8 (2x - 3) - 6x? what the answer

Answers

Answer:

Step-by-step explanation:

Multiply the expressions.

− 32 x  − 24

Answer 2.5:

Step-by-step explanation:

ASAP! I will give branilest!

1. Based on the information in the table, is the cost of the apples proportional to the weight of apples? Yes/No

pounds of apples cost of apples
2 $3.76
3 $5.64
4 $7.52
5 $9.40

2. Base on the information in the table, is the cost of the pizza proportional to the number of toppings? Yes/No



number of toppings cost of pizza
2 $11.99
3 $13.49
4 $14.99
5 $16.49
3. Write an equation for the table that represents a proportional relationship.

c =
1.50 or 1.88




3A. Use the following variables to help in your equation:
Is A the answer or T


a is for pounds of apples
t is for number of toppings

Answers

Answer:

1 = No     2 = Yes      3 = 1.88

Step-by-step explanation:

Answer:

1. Yes 2. No 3. = 1.88 .

Step-by-step explanation:

1. Possibly yes, the first table represents a proportional relationship because cost per pound of apples is the same in each row, 1.88 dollars per pound.

2. Definitely no, the second table does not represent a proportional relationship because cost per topping is not the same in each row. (An equation is =1.50+8.99 but students do not need to provide an equation.)

3. An equation relating the cost to pounds of apples is = 1.88.

Please helppp.

Simplify an expression for the perimeter and
an expression for the area of the rectangle
shown

Answers

Answer:

perimeter: 8x + 3 + 8x + 3 + 5 + 5=16x + 16

Area: 5(8x+3)=40x+15

What is fo)?
12 only
2 and 3 only
-2, -1, 1, and 2 only
-2, -1, 1, 2 and 12

Answers

9514 1404 393

Answer:

  f(0) = 12 . . . only

Step-by-step explanation:

We don't know your intended meaning of "fo)". If it is supposed to be f(0), that is the value of the function at x=0, in other words, the y-intercept.

The graph of f(x) crosses the y-axis at y=12, so ...

  f(0) = 12

Answer: 4,12

Step-by-step explanation: Gimme points  I counted the lines where the f(x) is located at then found 4 same for y ( I started with X then Y)

3(4 + 5y)
Simplify the expression

Answers

Answer:

12 + 15y

Step-by-step explanation:

Multiply 3 by all the variables inside the ()

Which of the following functions is depicted?

Answers

Answer:

D

Step-by-step explanation:

Two companies offer online gaming subscriptions. Company A charges $75 upfront and then $20 a month. Company B does not charge an upfront fee but charges $35 a month. After how many months will the two companies charge the same amount?

Answers

Answer:

After 5 months each company will charge the same amount

Step-by-step explanation:

Math Modeling

The situation raised in the question can be modeled as follows.

Company A charges $75 upfront (flat or fixed fee) plus $20 a month. Being x the number of months of subscription, the total charge Ca is:

Ca = 75 + 20x

Company B charges no upfront fees, and $35 a month. We model its charges Cb as:

Cb = 35x

We want to know the number of months needed to make both companies charge the same amount. We'll do that by equating Ca=Cb:

75 + 20x = 35x

Subtracting 20x:

75 = 35x - 20x

Swapping and simplifying:

15x = 75

Solving:

x=75 / 15

x=5

After 5 months each company will charge the same amount

Find the measure of angle b

Answers

Answer:

I'd say 42 degrees, but I might be wrong.

Step-by-step explanation:

It looks the same as the other labeled angle, which is 42 degrees, so that would make angle b 42 degrees.

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