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.
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Solve. Then, rewrite the complete number sentence in decimal form
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]
Does the point (6, 0) satisfy the equation y = x + 6?
yes or no
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
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the sum of two numbers is 84 and one of them is 12 more than the other what are the two numbers
0.009 in scientific notation
Answer:
9 x 10^-3
Step-by-step explanation:
(3x3_10x=2x+20)=(x-3)
Answer:
is that 3 time 3 or it is 3x? do you meant minus by using underscore?
Step-by-step explanation:
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.
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.
Please help ❤️❤️❤️❤️❤️❤️❤️
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
10v2 + 50
o Linear binomial
o Constant binomial
Quadratic binomial
Quadratic trinomial
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).
Adele rides her bike 28 miles in 3.5 hours. How far has Adele traveled on her bike if she rides for 8 hours?
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
Answer:
Step-by-step explanation:
The triangles are not similar.
-2x^3+15x^2-22x-15; (x-3) polynomial function
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
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
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
(x^2+3x^2-kx-24)÷(x+3) what's the value of k??
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
What is the range of the function shown on the graph above
Determine the equation that this graph represent
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.
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
Which expression is equivalent to x^2 - 64?
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
Target sells 3 apples $1.50 what is the cost of 20 apples
Answer:
$10
Step-by-step explanation:
1.50 divided by 3 = 0.50
0.50 x 20 = 10
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)
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 equation for a line with a slope of 5 and a y-intercept of 11?
Answer:
y=5x+11
Step-by-step explanation:
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?
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
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How can I know 20 digits of Π… ??
And not know the 10 digits of your phone number?
What is the slope of the line in the graph? HELPPPPPPPP WILL GIVE BRAINLYIST TO CORRECT ANSWER!!!!!
Answer:
(-1,1),(-2,-1)
Step-by-step explanation:
brainliest please
Which number makes the equation true?
blank divided by eighteen equals one third
Question 13 options:
32
24
12
6
Answer:
6
Step-by-step explanation:
x/18 = 1/3
3x = 18
x = 6
Which of the following indicates that ABC and DEF are similar?
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.
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-20 2 -6 -18 4 -4 put them from least to greatest
1. simplify the following fractions: 12/36
Answer:
1/3
Step-by-step explanation:
12/36 = 6/18 = 3/9 = 1/3
All rational numbers are whole numbers? True or false
What is the y-intercept
Answer:
-2
Step-by-step explanation:
hope this helps!!!!!!!?
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?
Answer:
175
Step-by-step explanation: