The journal of the american medical association reported on an experiment intended to see if the drug prozac could be used as a treatment for the eating disorder anorexia nervosa. the subjects, women being treated for anorexia, were randomly
divided into two groups. of the 49 who received prozac, 35 were deemed healthy a year later, compared to 32 of the 44 who
go the placebo.
a) are the conditions for inference satisfied? explain.
b) find a 95% confidence interval for the difference in outcomes.
c) use your confidence interval to explain whether you think prozac is effective.
d) suppose instead of constructing an interval, you conduct a hypothesis test. what hypotheses should you test?
e) state a conclusion based on your confidence interval.
f) if that conclusion is wrong, which type of error did you make? explain.

Answers

Answer 1

a) Yes, the conditions for inference are satisfied as the subjects were randomly divided into groups, and the sample sizes are provided.

b) The 95% confidence interval for the difference in outcomes is (-0.1732, 0.2502).

c) Based on the confidence interval, it is inconclusive whether Prozac is effective for treating anorexia nervosa.

d) The hypotheses to test would be H₀: p₁ - p₂ = 0 (No difference in outcomes) versus Ha: p₁ - p₂ ≠ 0 (Difference in outcomes).

e) The conclusion based on the confidence interval would depend on whether the interval includes zero or not, indicating the presence or absence of a significant difference in outcomes.

f) If the conclusion based on the confidence interval is incorrect, it could be due to either a Type I error (false positive) or a Type II error (false negative) in the hypothesis test.

Are the conditions for inference satisfied?

a) To determine if the conditions for inference are satisfied, we need to check if the study followed appropriate randomization, independence, and sample size assumptions. If the subjects were randomly divided into two groups and the assignment was independent, and if the sample sizes are large enough for inference, then the conditions for inference would be satisfied.

b) To find a 95% confidence interval for the difference in outcomes, we can use the formula for calculating the confidence interval for the difference in proportions.

The proportion of subjects who were deemed healthy in the prozac group is 35/49 ≈ 0.7143.

The proportion of subjects who were deemed healthy in the placebo group is 32/44 ≈ 0.7273.

Using these proportions, we can calculate the standard error of the difference in proportions:

SE = √[(p₁ * (1 - p₁) / n₁) + (p₂ * (1 - p₂) / n₂)]

SE = √[(0.7143 * (1 - 0.7143) / 49) + (0.7273 * (1 - 0.7273) / 44)]

Next, we can calculate the margin of error (ME) using the critical value corresponding to a 95% confidence level:

ME = z * SE

Where z is the critical value, which is approximately 1.96 for a 95% confidence level.

Finally, we can calculate the confidence interval:

Confidence Interval = (p₁ - p₂) ± ME

c) To determine whether Prozac is effective, we would examine if the confidence interval includes zero or not. If the confidence interval does not include zero, it suggests that there is a significant difference in outcomes between the Prozac group and the placebo group, indicating the potential effectiveness of Prozac.

d) To conduct a hypothesis test, we would test the null hypothesis that there is no difference in outcomes between the Prozac group and the placebo group. The alternative hypothesis would be that there is a difference in outcomes.

H₀: p₁ - p₂ = 0 (No difference in outcomes)

Hₐ: p₁ - p₂ ≠ 0 (Difference in outcomes)

e) The conclusion based on the confidence interval would be that if the confidence interval does not include zero, we would reject the null hypothesis and conclude that there is a statistically significant difference in outcomes between the Prozac group and the placebo group.

f) If the conclusion based on the confidence interval is wrong, it means that either a Type I error or a Type II error was made.

Type I error: This occurs when the null hypothesis is rejected when it is actually true. It means concluding there is a significant difference in outcomes when there isn't one.Type II error: This occurs when the null hypothesis is accepted when it is actually false. It means failing to conclude a significant difference in outcomes when there is one.

In this context, if the conclusion based on the confidence interval is incorrect, it would indicate either a Type I or Type II error, depending on whether the null hypothesis is actually true or false, respectively.

Learn more on confidence interval here;

https://brainly.com/question/17097944

#SPJ4


Related Questions

-2x^3+15x^2-22x-15; (x-3) polynomial function

Answers

Answer: Down Below

Step-by-step explanation: Solving for -2x^3 + 15x^2 - 22x - 15(x - 3) = 0

Standard form:

−2x3 + 15x2 − 37x + 45 = 0

Factorization:

−(2x − 9)(x2 − 3x + 5) = 0

(x^2+3x^2-kx-24)÷(x+3) what's the value of k??​

Answers

Answer:

-4

Step-by-step explanation:

since x+3 is a factor of the polynomial (x^2+3x^2-kx-24), then;

x+3 = 0

x = -3

Substitute x = -3 into the polynomial

x^2+3x^2-kx-24 = 0

(-3)^2+3(-3)^2-(-3)k-24 = 0

9 + 27 + 3k - 24 = 0

36-24 + 3k = 0

12 = -3k

k = -12/3

k = -4

Hence the value of k is -4

1. simplify the following fractions: 12/36

Answers

Answer:

1/3

Step-by-step explanation:

12/36 = 6/18 = 3/9 = 1/3

The answer is 1/3. .

How can I know 20 digits of Π… ??

And not know the 10 digits of your phone number?

Answers

Answer - lol smooth 6273893

Which of the following statements is NOT a property of parallelograms?
Opposite angles are congruent.
Opposite sides are parallel.
Parallelograms have 4 straight sides.
All sides are parallel.

Answers

Answer:its that all sides are parallell

Step-by-step explanation:

because it has two sets of parrallel sides all of them are not paralell

Answer:

All sides are parallel.

Step-by-step explanation:

shapes can't even be made if all the sides are parallel. The angles need to be added up to 360 degrees. There won't even be angles if all the lines are parallel. The opposite sides have to be parallel.

Determine the equation that this graph represent

Answers

y= 3/2x + 3



and slope = rise/run
Y=3/2+3

I hope that’s right.

-20 2 -6 -18 4 -4 put them from least to greatest

Answers

-20 -18 -6 -4 2 4 this is the answer
[-20, -18 , -6 , -4 , 2 , 4 ]

Adele rides her bike 28 miles in 3.5 hours. How far has Adele traveled on her bike if she rides for 8 hours?

Answers

Answer:

64 miles

Step-by-step explanation:

if you divide 28 by 3.5, this gives you the number of miles per hour, I got 8. Multiply that by 8 because that is the number of hours we are looking for and you get 64. That is the answer.

State whether the triangles are similiar if so write a similarly statement for brainliest

Answers

Answer:

Step-by-step explanation:

The triangles are not similar.

The Triangles are not similar

Erik used 28 centimeters of tape to wrap 7 presents. How much tape will Erik need in all if he has to wrap 12 presents? Solve using unit rates.

Answers

Answer:

Length of tape required to wrap 12 presents is 48 centimeters.

Step-by-step explanation:

Length of tape required to wrap 7 presents = 28 centimeters

Length of tape required to wrap 1 present = [tex]\frac{28}{7}=4[/tex] centimeters

Therefore,

Length of tape required to wrap 12 presents = 12 × Length of tape required to wrap 1 present

= 12 × 4

= 48 centimeters

10v2 + 50
o Linear binomial
o Constant binomial
Quadratic binomial
Quadratic trinomial

Answers

Answer:

So what is the question? probably to describe the polynomial 10v^2 + 50. okay. the polynomial is a quadratic (it is to the 2nd power) and a binomial (2 terms).

Which expression is equivalent to x^2 - 64?

Answers

Answer:

X= 8 and X=-8

Step-by-step explanation:

x^2-64

spilt into (x-8)(x+8)

set both equal to 0

0=x-8

x=8

0=x+8

x=-8

Which number makes the equation true?

blank divided by eighteen equals one third

Question 13 options:

32


24


12


6

Answers

Answer:

6

Step-by-step explanation:

x/18 = 1/3

3x = 18

x = 6

Solve. Then, rewrite the complete number sentence in decimal form

Answers

Step-by-step explanation:

a)

6.9+1.1= 8

b)

9.9+2.45=12.35

[tex]12 \frac{35}{100} [/tex]

c)

2.4+8.9=11.3

[tex]11 \frac{3}{10} [/tex]

d)

6.37+7.7=14.07

[tex]14 \frac{7}{100} [/tex]

What is the y-intercept

Answers

Answer:

-2

Step-by-step explanation:

hope this helps!!!!!!!?

Target sells 3 apples $1.50 what is the cost of 20 apples

Answers

Answer:

$10

Step-by-step explanation:

1.50 divided by 3 = 0.50

0.50 x 20 = 10

Which of the following indicates that ABC and DEF are similar?

Answers

Answer:

The answer of the question is b

Similar triangles are those triangles whose corresponding sides are in the same ratio. The correct option is A, ΔABC ~ ΔDEF.

What are similar triangles?

Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by the ‘~’ symbol.

For the two triangles, we can denote the similarity ΔABC ~ ΔDEF.

Learn more about Similar Triangles:

https://brainly.com/question/25882965

#SPJ5

0.009 in scientific notation

Answers

Answer:

9 x 10^-3

Step-by-step explanation:

What is the equation for a line with a slope of 5 and a y-intercept of 11?

Answers

Answer:

y=5x+11

Step-by-step explanation:

Does the point (6, 0) satisfy the equation y = x + 6?
yes or no​

Answers

Answer:

No.

Step-by-step explanation:

You have to replace the (6,0) with the equation at hand. So, since 6 is in the X spot and 0 is in the Y spot, the equation would then look like 0=6+6. The equation is false as you can see.

No, this point does not lie on the line y = x + 6.

What is the general equation of a Straight line?

The general equation of a straight line is -

y = mx + c[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                                 {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)      {Two point - slope form}x/a + y/b = 1                                        {intercept form}x cos(β) + y sin(β) = L                         {Normal form}

We have the equation of line as -

y = x + 6

For point (6, 0), we can write -

0 = 6 + 6

0 ≠ 12

Therefore, no, this point does not lie on the line -

y = x + 6

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

All rational numbers are whole numbers? True or false

Answers

Yes this is very true

Which of the following could be the side lengths of a right triangle?

Question 1 options:

1 in, 2, in, 3 in


2 m, 5 m, 5 m


12 ft, 16 ft, 20 ft


3 in, 4 in, 6 in

Answers

Answer:

its C

Step-by-step explanation:

it cant be b because there would be no longest side

neither d or a because ive done the math for it

Please help ❤️❤️❤️❤️❤️❤️❤️

Answers

Answer:

-3/7

Step-by-step explanation:

find two lattice points

the ones I found are (-3, 3) and (4, 0)

use the slope formula

(0-3)/(4-(-3)) = -3/7

(3x3_10x=2x+20)=(x-3)

Answers

Answer:

is that 3 time 3 or it is 3x? do you meant minus by using underscore?

Step-by-step explanation:

Select all the expressions equivalent to:
20a + 10b
a
5(4a + 2b)
b
10(2a + b)
C С
2(10a + 5)
2(10a + 5b)
Od
Оe
5(4a - 2b)

Answers

Answer:

5(4a + 2b)

10(2a + b)

2(10a + 5b)

Step-by-step explanation:

we are trying to find equations equivalent to (20a + 10b), so distribute

5(4a + 2b) = 20a +10b YES

10(2a + b) = 20a +10b YES

2(10a +5) = 20a + 10 NO

2(10a + 5b) = 20a +10b YES

5(4a - 2b) = 20a - 10b NO

What is the slope of the line in the graph? HELPPPPPPPP WILL GIVE BRAINLYIST TO CORRECT ANSWER!!!!!

Answers

Answer:

(-1,1),(-2,-1)

Step-by-step explanation:

brainliest please

Bert is driving along a country road at a constant speed of 30 miles per hour. How long does it take for him to travel 50 miles?

Answers

30 miles/60 minutes = 50 miles/ x minutes
Cross multiply, and you have 3000 = 30x. x = 100 minutes, or 1 hour 40 minutes

The time of 1 hour 40 minutes Bert takes for him to travel 50 miles.

What is the distance?

Distance is defined as the product of speed and time.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that Bert is driving along a country road at a constant speed of 30 miles per hour

To determine the time it takes for him to travel 50 miles.

Let the time of x minutes it takes for him to travel 50 miles.

⇒ 30 miles/60 minutes = 50 miles/ x minutes

Cross multiplication apply in above equation,

⇒ 30x. x = 60x50

⇒ 3000 = 30x.

⇒ x = 100 minutes, or

1 hour 40 minutes

Learn more about distance here:

https://brainly.com/question/13269893

#SPJ2

the sum of two numbers is 84 and one of them is 12 more than the other what are the two numbers​

Answers

The first number is x

The second number is y

So according to the given condition the sum of these two numbers is 84, so we can write

x+y=84 ————-(1)

Again one of them is more than 12 than the other that's why we can write,

x+12=y -------------(2)

Now putting the values of y in equation (1) we get,

x+x+12=84

=>2x+12=84

=>2x+12–12=84–12

=>2x=72

=>2x/2=72/2

=>x=36

Taking the value of x in equation(2) we get,

36+12=y

=>y=48

The two numbers are 48 and 36.

Check:

48+36=84

=>84=84

Also 48 =36+12; which is more than 12 of 36.

Shandra had $200 in her bank account on Monday. On Tuesday, she had a
debit of $50 and a credit of $25. How much money does Shandra have in
her bank account on Wednesday?

Answers

Answer:

175

Step-by-step explanation:

What is the range of the function shown on the graph above

Answers

You did not attach a picture of the graph
Other Questions
Consider a simple ideal Rankine cycle with fixed boiler and condenser pressures. What is the effect of superheating the steam to a higher temperature on:Pump Work Input: (a) increases (b) decreases (c) remains the sameTurbine Work Output: (a) increases (b) decreases (c) remains the sameHeat Supplied: (a) increases (b) decreases (c) remains the sameHeat Rejected: (a) increases (b) decreases (c) remains the sameCycle Efficiency: (a) increases (b) decreases (c) remains the sameMoisture Content at Turbine Exit: (a) increases (b) decreases (c) remains the same The perimeter of the scalene triangle is 54. 6 cm. A scalene triangle where all sides are different lengths. The base of the triangle, labeled 3 a, is three times that of the shortest side, a. The other side is labeled b. Which equation can be used to find the value of b if side a measures 8. 7 cm?. f atom x forms a diatomic molecule with itself, the bond is a) ionic. b) polar covalent. c) nonpolar covalent. d) polar coordinate covalent. e) none of these Let A = [V1 V2 V3 V4 V5] be a 4 x 5 matrix. Assume that V3 = V1 + V2 and V4 = 2v1 V2. What can you say about the rank and nullity of A? A. rank A 3 and nullity A 2 B. rank A 2 and nullity A 3 C. rank A 3 and nullity A 2 D. rank A 2 and nullity A 2 E. rank A 2 and nullity A 2 ehrenfeld argues that in order to close the material loop, we must acknowledge the critical value of help me please im stuck Fill in the blanks: hand lotion consists of ____ an emulsion/a suspension/a solution) of substances that are soluble in ____ (oil/water and oil/water). lotions are designed to improve the ____ (cleanliness and firmness/texture and appearance/temperature) of the skin. Draw the product that valine forms when it reacts with di-tert-butyl dicarbonate and triethylamine followed by an aqueous acid wash.You do not have to consider stereochemistry.Do not draw organic or inorganic by-products.Draw the product in neutral form unless conditions are clearly designed to give an ionic product.Include cationic counter-ions, e.g., Na+ in your answer, but draw them in their own sketcher.Do not include anionic counter-ions, e.g., I-, in your answer. be sure to answer all parts. identify the most shielded and least shielded protons in 1,1,2trichloropropane. the most shielded hydrogens are at: (select) the least shielded hydrogens are at: what is the total area between f(x)=6x and the x-axis over the interval [4,2]? the xx-coordinate of an electron is measured with an uncertainty of 0.30 mm.What is vx, the x component of the electron's velocity, if the minimum percentage uncertainty in a simultaneous measurement of vx is 1.00% ? Use the following expression for the uncertainty principle:deltaX * deltaPX >= h2,where deltaX is the uncertainty in the x coordinate of a particle, deltaPX is the particle's uncertainty in the x component of momentum, and h is Planck's constant.Express your answer in meters per second to three significant figures. calculate the number of frenkel defects per cubic meter in sliver chloride at 350 c. the energy for defect formation is 1.1 ev, whereas the density for agcl is 5.50 g/cm3 at 350 c. The atomic weights for silver and chlorine (107.87 and 35.45. g/mol), respectively as the __________sorting algorithm makes passes through and compares the elements of the array, certain values move toward the end of the array with each pass. given that a and b are 4 4 matrices, deta=2, and det(2a2bt )=1, find detb a 1/8 b 1/4 c 1/2 d 2 e 4 To boost your level of fitness, it's important to do which of the following?-Appropriately overload your body-Allow time between workouts for your muscles to atrophy-Exercise at 95%-99% of your maximum heart rate-Engage in strength-training activities at least three to five times per week if annual demand is 10000 units and the ordering cost is 20 while the holdinf caast is .10 then the eoq is _____ is the part of adolescents' egocentrism that involves a sense of uniqueness and invincibility. a. Write the balanced net ionic equation for the following reaction between aqueous Pb(NO3)2 and aqueous NaI and correctly label the states. Use the solubility table to determine if a precipitate forms before writing the net ionic equation. Must show the (1) balanced chemical equation with the right states (2) the cancellation of appropriate spectator ions and the final net ionic equation.b. Write the balanced net ionic equation for the following reaction between strong acid HCI (hydrochloric acid )with strong base Ba(OH)2 (barium hydroxide). This is a neutralization. Must show the (1) balanced chemical equation with the right states (2) the cancellation of appropriate spectator ions and net ionic equation. Convert 3. 44 x 1019 particles of Li2S to volume in liters at STP. Round to proper significant figures Classify each description as an example of the primary, secondary, or higher-order structure of DNA. Primary structure Secondary structure Higher-order structure Answer Bank In this structure, hydrogen bonds between complementary base pairs result in a double helix This structure describes the base sequence G-T-CA-A-G In this structure, tightly coiling nucleosomes form chromosomes In this structure, adenine forms hydrogen bonds with thyminc This structure describes the sequence of nucleotides In this structure, the double helix coils around proteins known as histones