Researchers are interested in assessing if there is an association between dietary cholesterol intake and high blood pressure. The following data was summarized:

Blood Pressure
Dietary Cholesterol High Low Total
High 159 91 250
Low 78 172 250
Total 237 263 500

Required:
a. Estimate the conditional probabilities of high and low blood pressures given the level of dietary cholesterol.
b. Compute an estimate of the odds ratio of high blood pressure for the two groups
c. Interpret the odds ratio and determine if high blood pressure is related to dietary cholesterol.

Answers

Answer 1

Answer:

A) Conditional probability for a high BP given that dietary cholesterol is high as well

P = 159 / 250

Conditional probability for a high BP given that dietary cholesterol is low

P = 78 / 250

Conditional probability for a low BP given that Dietary cholesterol is high

P = 91 / 250

Conditional probability for a low BP given that Dietary cholesterol is low

P = 172 / 250

B) High BP for High dietary cholesterol

 = 159 / 237

High BP for low dietary cholesterol

 = 78 / 237

C)  The odds ratio shows that  BP is directly proportional to Dietary cholesterol

Step-by-step explanation:

A) estimate the conditional probabilities of high and low blood pressures given the level of dietary cholesterol

Conditional probability for a high BP given that dietary cholesterol is high as well

P = 159 / 250

Conditional probability for a high BP given that dietary cholesterol is low

P = 78 / 250

Conditional probability for a low BP given that Dietary cholesterol is high

P = 91 / 250

Conditional probability for a low BP given that Dietary cholesterol is low

P = 172 / 250

B) Compute an estimate of the odds ratio of high blood pressure for the two groups

High BP for High dietary cholesterol

 = 159 / 237

High BP for low dietary cholesterol

 = 78 / 237

C)  Interpret the odds ratio and determine if high blood pressure is related to dietary cholesterol.

The odds ratio shows that  BP is directly proportional to Dietary cholesterol as seen in the the odds ratio that ratio between High BP and High Dietary cholesterol is higher than other odds ratios


Related Questions

Ken prepared 12 kilograms of dough after working 2 hours. How many hours did Ken work if he prepared 36 kilograms of dough? Assume the relationship is directly proportional.​

Answers

Answer:

36 Kilograms of Dough in 6 hours

Step-by-step explanation:

Each hour Ken prepares 6 kilograms of dough, and every 2 hours Ken prepare 12 kilograms of dough.

The highest location in a certain country is 14,864 feet above sea level. The lowest point in the same country is 141 feet below sea level.
Find the difference of the two elevations.
A city is 7,642 feet above sea level. Is this elevation closer to the highest point or the lowest point?

Answers

Answer:

15,003 and Highest Point

Step-by-step explanation:

The highest point is at a positive 14,864 feet so we will use the number 14, 864.

The lowest is at a negative (below sea level) 141, so we will use the number -141.

The difference between them means that you subtract.

14,862-(-141)= x

Note that there is a double negative so it is positive.

14862+141=15,003 feet difference between them.

A city at 7642 above sea level is:

7642-14862=7222 feet away. The city is 7222 feet away from the highest point.

7642--141=7783 feet away. The city is 7783 feet away from the lowest point.

7222 is less than 7783, so the city is closest to the highest point.

Answer:

The difference is 15,005 and for the second part its closer to the highest point

Hope this helps!

The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1395 grams and standard deviation 200 grams. Use the TI-84 Plus calculator to answer the following. (a) What proportion of broilers weigh between 1160 and 1250 grams?(b) What is the probability that a randomly selected broiler weighs more than 1510 grams? (c) Is it unusual for a broiler to weigh more than 1610 grams? Round the answers to at least four decimal places.

Answers

Answer:

a) 0.0977

b) 0.3507

c) No it is not unusual for a broiler to weigh more than 1610 grams

Step-by-step explanation:

Mean = 1395 grams

Standard deviation = 200 grams. Use the TI-84 Plus calculator to answer the following.

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

(a) What proportion of broilers weigh between 1160 and 1250 grams?

For x = 1160

z = 1160 - 1395/300

= -0.78333

Probability value from Z-Table:

P(x = 1160) = 0.21672

For x = 1250 grams

z = 1250 - 1395/300

z = -0.48333

Probability value from Z-Table:

P(x = 1250) = 0.31443

The proportion of broilers weigh between 1160 and 1250 grams is

0.31443 - 0.21672

= 0.09771

≈ 0.0977

(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?

For x = 1510

= z = 1510 - 1395/300

z = 0.38333

Probability value from Z-Table:

P(x<1510) = 0.64926

P(x>1510) = 1 - P(x<1510) = 0.35074

Approximately = 0.3507

(c) Is it unusual for a broiler to weigh more than 1610 grams?

For x = 1610

= z = 1610 - 1395/300

z = 0.71667

Probability value from Z-Table:

P(x<1610) = 0.76321

P(x>1610) = 1 - P(x<1610) = 0.23679

No it is not unusual for a broiler to weigh more than 1610 grams

Find the unknown
*
7.8-2.15

Answers

The unknown or the answer is 5.65

How many times larger is 4 x 10 ^16 than 4 x 10^6?

Answers

Answer:

10^10 times

Step-by-step explanation:

To find it we will divide:

4 x 10^16 / 4 x 10^6 = 4/4 x 10^(16 - 6) = 1*10^10=10^10 times

The first number is 10^10 times larger

Answer:

  1e+16 and 1000000 multiply it then divide...

Step-by-step explanation:

Which of the following statements are reasons for why we get electrical energy from a
battery. Select all that apply.

Answers

All batteries are recharge able I hope this help

I believe it is AAS but am not sure whether ASA could be true as well

Answers

Answer: Choice C) AAS

Nice work on getting the correct answer.

=======================================================

Explanation:

We're given that angle A = angle C. This is shown in green in the diagram below.

AB || DC so we can show that angle ABD = angle CDB by the alternate interior angle theorem. This is shown in red.

Finally, we know that BD = BD which is marked in blue.

Note how the blue segment is not between the red and green angle for any of the two triangles. So we use AAS instead of ASA. The order is important.

a+b+c=88
b+c=84
a=2xb
Help!

Answers

Answer:

C=84∘, a=2, c=7

Step-by-step explanation:

Answer:

Sorry, but i need to do my homework as well. The answer is: a=4, b=2, c=82

1+8 pls help me nowwwwww

Answers

Your answer would be 9

Answer:

9

Step-by-step explanation:

The answer is 9. You can figure it out by counting up from 8!

the simple formula for price elasicity of demand is

Answers

Answer:

The price elasticity of demand is calculated as the percentage change in quantity divided by the percentage change in price.

write an equation for the graph using point-slope form

Answers

Answer: y-6=5/6(x-4)

Step-by-step explanation:

using the 2 points to find the slope (-2,1) and (4,6):

(6-1)(4--2)=5/6

y-6=5/6(x-4)

Jordan and $35 for taking care of his neighbors lawn suppose the neighbor gave him a $15 tip which would be the total amount Jordan earned

Answers

if he split the profit with someone else, he gets $25 but if it’s only for him, he’s earning $50

Jordan made a total of $50 for maintaining his neighbor's yard.

What are mathematical operations?

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

given, Jordan earned $35 for taking care of his neighbors lawn suppose the neighbor gave him a $15 tip.

Thus,

Total money Jordan earned = Salary + tip

Total money Jordan earned = 35 + 15

Total money Jordan earned = 50

therefore, the total amount Jordan earned is $50 for taking care of his neighbor's lawn.

Learn more about Mathematical operations here:

https://brainly.com/question/20628271

#SPJ2

Examine the equation. 4(x – 3) = 4x – 12 Which of the following is true? (Check all that apply.) It is a true statement. Any input will result in an equivalent equation. It is equivalent to an equation of the form a = a. It has no solution. Only one input will result in a true statement.

Answers

Answer:

A, B, and C.

Step-by-step explanation:

We have the equation:

[tex]4(x-3)=4x-12[/tex]

Let’s distribute the left. This yields:

[tex]4x-12=4x-12[/tex]

Let’s add 12 to both sides:

[tex]4x=4x[/tex]

And subtract 4x from both sides:

[tex]0=0[/tex]

We get the true statement 0=0.

Hence, A is correct.

Because it is a true statement, any input will yield an equivalent output.

Hence, B is also correct.

We also have the form a=a, where a is 0.

Hence, C is also correct.

Therefore, our correct answers are A, B, and C.

Answer:

It is a true statement.

Any input will result in an equivalent equation.

It is equivalent to an equation of the form a = a.

Which number is NOT a common multiple of 4 and 6?

Answers

Answer:

8

Step-by-step explanation:

you can multiply 4 by another number to get 8

but you can’t multiply 6 by any whole number to get 8

Answer:

The answer is 8

Step-by-step explanation:

You can multiply 4 by two and get 8, but you can't multiply 6 by any whole number and get 8.

4 times 6= 24

6 times 4=24

4 times 3=12

6 times 2=12

4 times 15=60

6 times 10=60

(1, 72), (3,66), (5, 53), (7, 40), (9, 34)
WILL MARK BRAINLIEST Cole determined the equation of a linear regression line, and determined that these are the corresponding predicted v
(1, 74), (3,63), (5, 52), (7, 41), (9, 30)
Use the point tool to graph the residual plot for the given values in the data set.

Answers

Answer:

y = [tex]-\frac{11}{2}[/tex] x + [tex]\frac{159}{2}[/tex]

Step-by-step explanation:

(1, 74)

(3, 63)

m = (63 - 74) / (3 - 1) = [tex]-\frac{11}{2}[/tex]

y - 74 = [tex]-\frac{11}{2}[/tex] (x - 1)

y = [tex]-\frac{11}{2}[/tex] x + [tex]\frac{159}{2}[/tex]

Which expression is equivalent to 2cos^2(x/2)- cos(x)?
Edge 2020

Answers

Given:

The expression is

[tex]2\cos^2(\dfrac{x}{2})-\cos (x)[/tex]

To find:

The expression which is equivalent to the given expression.

Solution:

We have,

[tex]2\cos^2(\dfrac{x}{2})-\cos (x)[/tex]

We know that,

[tex]\cos x=2\cos^2 (\dfrac{x}{2})-1[/tex]

Using this formula, the given expression can be written as

[tex]2\cos^2(\dfrac{x}{2})-\left(2\cos^2(\dfrac{x}{2})-1\right)[/tex]

[tex]=2\cos^2(\dfrac{x}{2})-2\cos^2(\dfrac{x}{2})+1[/tex]

[tex]=1[/tex]

Therefore, the given expression is equivalent to 1.

Answer:

B

Step-by-step explanation:

what is 13x144 i don't know what it it im 2nd grade

Answers

Answer:

Step-by-step explanation: 1,872

Answer: 1,872

Step-by-step explanation:

Find the approximate area under the curve by dividing the intervals into n subintervals and then adding up the areas of the inscribed rectangles. The height of each rectangle may be found by evaluating the function for each value of x. Your instructor will assign you n1and n2y = 2x underroot x^2 + 1 betwee x=0 and x=6 n1 and n2Find the exact area under the curve using integrationy = 2x underroot x^2 + 1 between x = 0 and x = 6
Explain the reason for the difference in your answers.
n1=12
n2=5

Answers

Answer and Step-by-step explanation: There are a number of ways of calculating an area under a curve. The more precise way is to use Definite Integral:

The function is [tex]2x\sqrt{x^{2}+1}[/tex], then the area under, with interval between 0 and 6 is:

[tex]\int\limits^6_0 {(2x\sqrt{x^{2}+1}) } \, dx[/tex]

To solve this integration, use substitution method, in which:

[tex]u=x^{2}+1[/tex]

[tex]\frac{du}{dx}=2x[/tex]

du = 2xdx

Replacing into the integral:

[tex]\int\limits^a_b {\sqrt{u} } \, du[/tex]

Solving:

[tex]\int\limits^a_b {\sqrt{u} } \, du=\frac{2}{3} \sqrt{u^{3}}[/tex]

Replacing it back to x:

[tex]\int\limits^6_0 {2x\sqrt{x^{2}+1} } \, dx =\frac{2}{3}\sqrt{(x^{2}+1)}[/tex]

Substituing limits between 0 and 6:

[tex]= \frac{2}{3}[\sqrt{(6^{2}+1)^{3}}-\sqrt{(0^{2}+1)^{3}} ][/tex]

= 149.37

Area under the curve using Integration is 149.37 square units

Another way of calculating area under the curve is dividing the area into a number of small rectangles and then adding the area of each one. This method is called Riemann Sums and it is an approximation of the area.

The method is done by the following relation:

in which

i is the n, the number of subintervals the area is dividing into

Δx is width of each subintervals.

For the function f(x) = [tex]2x\sqrt{x^{2}+1}[/tex], interval between 0 and 6:

subinterval n1 = 12:

[tex]\Delta x=\frac{6-0}{12}[/tex]

[tex]\Delta x=[/tex] 0.5

[tex]A=\Sigma f(x_{i}).\Delta x[/tex]

[tex]A = f(0)*0.5+f(0.5)*0.5+f(1)*0.5+f(1.5)*0.5+f(2)*0.5+f(2.5)*0.5+f(3)*0.5+f(3.5)*0.5+f(4)*0.5+f(4.5)*0.5+f(5)*0.5+f(5.5)*0.5[/tex]

[tex]A=0+1.12*0.5+2.83*0.5+...+50.99*0.5+61.49*0.5[/tex]

A = 131.575 square units

subinterval n2 = 5:

[tex]\Delta x=\frac{6-0}{5}[/tex]

Δx = 1.2

[tex]A=f(0)*1.2+f(1.2)*1.2+f(2.4)*1.2+f(3.6)*1.2+f(4.8)*1.2[/tex]

[tex]A=0*1.2+3.75*1.2+12.48*1.2+26.90*1.2+47.07*1.2[/tex]

A = 108.24 square units

Comparing results, notice that with less subintervals, the area is far from the exact measure. It occurs because Riemann Sums is an approximation method. So, if there are more subintervals, more approximate is the area, therefore, more precise it will be.

Borrowers choosing an adjustable-rate mortgage
pay a higher interest rate during the first few years.
are often forced to sell their homes after the first year.
often pay a lower interest rate during the first few years.
agree to accept no risk when borrowing money.

Answers

Answer:

Often pay a lower interest rate during the first few years

Step-by-step explanation:

Option c on edge. 2020

Answer:

C

Step-by-step explanation:

I will give you brainliest

Answers

Answer:

3 /4 I think

Step-by-step explanation:

The weekly milk order for the Tranquility Hotel includes 40 gallons of low- fat milk and 15 gallons of chocolate milk. What is the ratio of chocolate gallons to low- fat gallons in Tranquility Hotel's weekly milk order?​

Answers

Answer:

15:40

Hope it helps!

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CHAPTER 22
Statistics and Central Tendencies
results are shown in the table below.
Number of visits
Number of people
1
6
2 3
119
5
7.
8
6
S
7.
4
(a) Find the median number of visits per person.
(b) Calculate the mean number of visits per person.
[ Jan., paper 1, No. 21
ling between two cities, 3/8 of the passengers ar
Fifty people visiting a museum were asked how many times they had visited the museum​

Answers

Answer:

p

Step-by-step explanation:

otld7dlyzotzfkztkzk​

Answers

The correct answer is a Gradient of 1.
The slope of the line is 1 and so is the gradient or “Steepness”.
Gradient is another word for "slope". The higher the gradient of a graph at a point, the steeper the line is at that point. A negative gradient means that the line slopes downwards. Same with a positive gradient.

7.15 divided by 65 what is the answer? I need help to solve this problem

Answers

Answer:

7.15/65 = 0.11

The answer is 0.11 hope this helps

3 2/3 x 2 3/4 what is the answer guys and thank you to anyone helping me out with this question

Answers

Answer:

The answer is 6 6/12

Step-by-step explanation:

Find the product of 3 1/5 and 5/8. Express your answer in simplest form

Answers

Answer:

8 4/5

Step-by-step explanation:

Answer:

this is the answer i hope it helps you 3 33/40

How much does a 6-ounce apple weigh in grams?

I'll give brainiest

Answers

Answer:

169

Step-by-step explanation:

If the coordinate ( -12, 15 ) was translated according to (x+3, y-2), what would the new coordinate be?

Answers

(-9,13) hope this helps

randma has 3 pounds of flour. She uses 1 pounds of flour to make rolls for
hanksgiving dinner. How much flour does Grandma have left over?

Answers

To start, she has 3 pounds of flour
She uses 1, subtracts 1 pound
Now she has 2 pounds of flour

Answer:

2 pounds

Step-by-step explanation:

i feel like it's a trick question :/

Eight friends share 12 pounds of
gold coins equally. How many
pounds of coins does each friend
get?
N

Answers

Answer: each person would get 1.5 pounds of gold

Step-by-step explanation:

12/8= 1.5

Answer:

1.5 pounds of gold

Step-by-step explanation:

You just do 12÷8 which gives you 1.5

Hope this helped!

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