Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A drug is used to help prevent blood clots in certain patients. In clinical​ trials, among 4547 patients treated with the​ drug, 114 developed the adverse reaction of nausea. Construct a 99​% confidence interval for the proportion of adverse reactions. ​a) Find the best point estimate of the population proportion p.

Answers

Answer 1

Answer:

The best point estimate of the population proportion p is 0.0251.

The 99​% confidence interval for the proportion of adverse reactions is (0.0191, 0.0311).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

In clinical​ trials, among 4547 patients treated with the​ drug, 114 developed the adverse reaction of nausea.

This means that [tex]n = 4547, \pi = \frac{114}{4547} = 0.0251[/tex]

The best point estimate of the population proportion p is 0.0251.

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0251 - 2.575\sqrt{\frac{0.0251*0.9749}{4547}} = 0.0191[/tex]

The upper limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0251 + 2.575\sqrt{\frac{0.0251*0.9749}{4547}} = 0.0311[/tex]

The 99​% confidence interval for the proportion of adverse reactions is (0.0191, 0.0311).


Related Questions

Please help me if you answer this I will mark as brainliest and plus 25 points thank you​

Answers

Answer:

alt ext: 1 and 8 and then 2 and 7. same side interior: 4 and 6 and 3 and 5


PLEASE LOOK AT THE PICTURE I REALLY NEED HELP AND ILL APPRECIATE IT IF SOMEONE HELPS ME

Answers

A,B,D
!!!!!!!!!!!!!!!!!!!!!!!!!!!

HELPPPP ME FAST PLEASE

Answers

Answer:

B. 315 meters

Step-by-step explanation:

The length of the longer side of the lot on drawing = 6.3 cm

Given a scale of 1cm : 50 m

Let the length of the longer side be represented as x.

Therefore, the actual length of the longer side will be calculated as follows:

1:50 = 6.3:x

1/50 = 6.3/x

Cross multiply

x*1 = 50*6.3

x = 315

Actual length of the longer side of the lot = 315 meters

Could someone help me out please

Answers

Answer:

The answer is

GCF=8

56-48=8*(7-6)

The next four digits in the number 0.3435363738394041 are

Answers

The pattern is 0.01+

So the next 4 digits are:

0.4243

0.34353637383940414243

What single percentage change is equivalent to a 11% decrease followed by a 13% decrease

Answers

Answer:

24%

Step-by-step explanation:

x-(11/100)x

89/100x

followed by

89/100x-13/100x

76/100x

so the total decrease is calculated as

x-76/100x

(24/100)x

i.e 24% decrease

Identify A, B, and C

-6x2-5x+3=-8X2-4x

Answers

I’m not really good at maths and I also don’t understand the question but just check it out

Solve this equation
√x - 7= √x - 7​

Answers

Answer:

Search on mathaway

Step-by-step explanation:

Just use photomath lollll

Simplify the expression: 2 = (a + 5) =​

Answers

Answer:

a+7

Step-by-step explanation:

Iria made a scaled copy of the following triangle. She used a scale factor greater than 111.

What could be the length of the base of the scaled copy of the triangle?

If 44% of the students in a certain collage are female and there are 2640 female students what is the total number of students in the total students

Answers

Answer:Total number of students=6000 students

Step-by-step explanation:

Number  of female students =2640

Percentage of female students=44%

But

Percentage of female students x Total number of students =Number  of female students

Therefore

Total number of students=Number  of female students / Percentage of female students

Total number of students=2640/44% =6000 students

What is the relationship between a and b

A) vertical angles
B)complementary angles
C)supplementary angles
D)Non of the above

Answers

Answer:

Vertical Angles

Step-by-step explanation:

Any opposite angles caused by two intersecting lines are vertical angles.

Any two adjacent angles caused by vertical lines or two angles that equal 180° are supplementary angles.

Two angles that make 90° in all are complementary angles.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer.

Answers

Answer:

y = 3x + 4

Step-by-step explanation:

Remember, you find slope values by finding two points on lines within the slope.

Slope= y2-y1/ x2-x1.

(x,y)

I found (0,4), 1, and (2,2), 2.

The answer is -8/2, simplified, -4/1.

Hope this helped.

Simplify: 8 - | 7 - 9 | x 3

Answers

Answer:

8-2[tex]x^{2}[/tex]

Step-by-step explanation:

Answer:

[tex]8 - |7 - 9| {x}^{3} \\ 8 - | - 2| {x}^{3} \\ 8 - 2 {x}^{3} \\ thank \: you[/tex]

Reina scored twice as many goals at her last field hockey game as she did during the first game of the season. If F represents the number of goals Reina scored during the first game, which expression represents the number of goals she scored during the last game?

Answers

the answer is b mnnnnb,me. wmr3,mfr3;kmv 2

Question 3 of 25 What is g(x)?​

Answers

Answer:

" Its graph is v-shaped and opens up.

If the graph is turned upside down (so that it opens down), then g(x) = -|x|."

Step-by-step explanation:

Hope this helped :)

Step-by-step explanation:

This is an absolute value function with negative coefficient.

we have

g(x) = - Ixl

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Which histogram correctly displays the given data?

Answers

Answer:

i think the amswer would be B

Answer:

B is the accurate answer.

plz mark me as brainliest.

anyone know the answer?

Answers

5 maybe (I’m not pretty sure)

Solve for x ,
6(2x-5)=-(x+4)

Answers

Answer:

x=2

hope this helped :)

5 What is the median? 69 4 10 6 10 -5 7 E B Submit​

Answers

Answer:

8

Step-by-step explanation:

10 plus 6 is 16

divide by 2

you get 8

10 since it has double

solve for x.

A-4
B-20
C-13
D-5

Answers

A-4 that is the correct answer I think, if not try 5

pls helppp! thank you so much

Answers

Cge I believe hope this helps

What’s the answer?????

Answers

Answer:

(1,1)

Step-by-step explanation:

Cuál es la fuerza total que ejerce 3 personas empujando una carreta? F1 = 30 N, F2 = 45 N, F3 = 38 N?

Answers

Respuesta:

113 N

Explicación paso a paso:

Las fuerzas ejercidas se dan como:

F1 = 30 N

F2 = 45 N

F3 = 38 N

A partir de los valores de las fuerzas ejercidas, podemos observar que todas las fuerzas están en la misma dirección; Dado que la fuerza total ejercida es un sol de las 3 fuerzas:

F1 + F2 + F3

(30N + 45N + 38N) = 113 N

Find the slope of the line that passes through points (4,5) and (3,-4)?​

Answers

Answer:

slope=9

Step-by-step explanation:

whole equation=y = 9x – 31

hope that helps

please mark as brainliest if correct

thank you

have a great day/night

If m2 BOE = 130° and m2 COB = 80°, find the measure of the indicated arc in circle o. D С E B mCBE = [ ? 1°
HELP ME NO ANSWER RANDOM STUFF FOR POINT WILL GET REPORTED

Answers

Answer: 210

Step-by-step explanation:

Which of the following shows a group of possible angles a triangle could have?

A. 10 degrees, 20 degrees, 190 degrees
B. 30 degrees, 60 degrees, 60 degrees,
C. 60 degrees, 90 degrees, 90 degrees
D. 50 degrees, 60 degrees, 70 degrees

Answers

Answer:

D) 50, 60, 70

Step-by-step explanation:

The reason why it's D since a regular triangle equals up to 180 degrees in total and D is the only one that equals 180.

50+60+70= 180 degrees

Hope this helps

Can someone pls help me to solve 15 and 16 and answer 17 I will mark you the brainly pls I will really appreciate

Answers

Answer:

15) x = 20

16) y = 45°, z = 30°

17) all 4 corners = 90°, all 4 sides are equal length, diagonals are perpendicular, diagonals bisect the corner angles.

We can't do the extra credit because we do not have a relationship about the side lengths. We just have angle information.

Step-by-step explanation:

15) 2x + 8 = 3x - 12

x = 20

16) 2y = 90°

y = 45°

3z = 90°

z = 30°

asdasdasdsadasasdasd

There are 2 1/2 cups of milk left in a carton. Write 2 1/2 as an improper fraction.

Answers

5/2. multiply the 2 and 2 and add the extra 1/2 that was already there.

Answer:

the answer is 2 1/2

Step-by-step explanation:

I don't know I just do lol

The circumference of a circle is 9.04cm.
Find the length of the diameter.
Give your answer rounded to 2 DP.​

Answers

C=pi x D
9.04= pi D
D=9.04/pi
or= 2.87
Question:-

The circumference of a circle is 9.04 cm. Find the length of the diameter.

Solution:-

Let the radius of a circle be r cm.

We know the formula of circumference of a circle is 2πr.

ATQ ,

2πr = 9.04

2 × [tex] \frac{22}{7} [/tex] × r = 9.04

[tex] \frac{44}{7} [/tex] × r = 9.04

r = [tex] \frac{9.04 \: × \: 7}{44} [/tex]

r = [tex] \frac{63.28}{44} [/tex]

r = 1.438

Now, as we have to find the length of the diameter ,

So, we know, Diameter (d) = 2 × radius (r)

[tex] \therefore [/tex] d = 2r

Hence, d = 2 × 1.438 ( r = 1.438 )

d = 2.876

d = 2.88 ( approx )

The length of the diameter is 2.88 cm. [Answer]

Linda buys a package of 12 cartons of tomato soup for $30. If each carton holds
16 ounces of soup, what is the cost per quart?
A $1.25
B $2.50
C $5.00
D $7.50

Answers

Answer:

5.00

Step-by-step explanation:

1 quart is 32 ounces if you add 16+16=32

and 30 divided by 12 = 2.5

if one carton is 16 ounces and you add 2 cartons to make a quart which is 2.5+2.5=5.00

Other Questions
Excerpt from In George's ShoesNatalie StewartOwen kicked dirt beyond home plate, sending cloudy powder into the humid summer air.In paragraph 1, the word humid meansA)cold.B)muggyC)rainyDwindy. A student records the repair cost for 22 randomly selected dryers. A sample mean of $98.78 and standard deviation of $15.49 are subsequently computed. Determine the 95% confidence interval for the mean repair cost for the dryers. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places. Which of the following is NOT an example of a revolving account?a Auto loanb Visa credit cardc Dillard's store cardd Gasoline company card Im passed due someone help meeeeeee SOMEONE PLEASE HELP I DONT HAVE MUCH TIME ILL MARK YOU BRAINLIST 7. The milligrams of aspirin in a person's body is given by the equation a = 500 - (3/4)where t is the number of hours since the patient took the medicine.b. In the equation, what does the 500 tell us about the situation?c. In the equation, what does the tell us about the situation?d. Graph the equation for values of t between 0 and 4. The human body temperature is normally 98.6F. As a person exercises, the body temperature starts to increase. As a result of the increased body temperature, the perspiration processbegins to cool the body. Which best describes what the body is doing when it perspires?A. increasing osmosisB. reducing transpirationC. controlling metabolismD. maintaining homeostasis Who controlled the states of Italy during the Renaissance Period and how was this different than the Middle Ages? I need help in this algebra problem plz Need help with this math problem. We have seen above, that the first step in the revolution by the working class, is to raise the proletariat to the position of ruling class...The proletariat will use its political supremacy to wrest [take], by degrees, all capital from the bourgeoisie, to centralize all instruments of production in the hands of the State, i.e., of the proletariat organized as the ruling class [or government]; and to increase the total productive forces as rapidly as possible The Communist Manifesto, Karl Marx and Friedrich Engels, 1848According to Karl Marx, why should the proletariat rise up against the wealthy, elite ruling class (aka The Bourgeoisie)? *EqualityRevengeEfficiencyIndustrialization the y coordinate is 7 more than the x coordinate Which best describes the response of authorities in Birmingham, Alabama, to civil rights protests in the 1960s? They sometimes used violence to resist the protests. They agreed with the protesters' aims. They came to accept, over time, the presence of the protesters. They responded peacefully to the protesters. Can someone give me 2-3 paragraphs about a pink moon? (NO LINKS) A space shuttle travels at 2.6 x 10,000 feet per second. An hour is 3.6 x 1,000 seconds. This expression can be used to find the number of feet the space shuttle travels in an hour. How many feet does the shuttle travel in an hour? Someone please help me answer this!1 A construction company spends w weeks extending an existing road. The existing road is 5 miles long. Each week the company completes 0.2 miles of the extension. Which equation models the total length (L) of the road?A. L = 0.2w + 5B. L = 0.2w - 5C. w = 0.2L + 5D. w = 0.2L - 5 A TV that usually sells for $174.45 is on sale for 15% off. If sales tax on the TV is 8%, what is the price of the TV, including tax? find the value of x and is it congruent or not If f(x)=x2, which equation represents function g?A. g(x)=1/3f(x)B. g(x)=3f(x)C. g(x)=f(1/3x)D. g(x)=f(3x) help BRAINLES tysmm