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

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]

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

Could someone help me out please

Answers

Answer:

The answer is

GCF=8

56-48=8*(7-6)

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

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

pls helppp! thank you so much

Answers

Cge I believe hope this helps

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

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

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

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

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

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’s the answer?????

Answers

Answer:

(1,1)

Step-by-step explanation:

anyone know the answer?

Answers

5 maybe (I’m not pretty sure)

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


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

Answers

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

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

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

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

Answers

Answer:

x=2

hope this helped :)

Solve this equation
√x - 7= √x - 7​

Answers

Answer:

Search on mathaway

Step-by-step explanation:

Just use photomath lollll

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

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.

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

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

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]

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.

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

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?

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

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:

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