An experimenter flips a coin 100 times and gets 58 heads. Find the 90% confidence interval for the probability of flipping a head with this coin.

a. [0.483, 0.677]
b. [0.383, 0.627]
c. [0.533, 0.538]
d. [0.483, 0.477]
e. [0.403, 0.677]
f. None of the above

Answers

Answer 1

Answer:

The correct option is f.

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

It is provided that an experimenter flips a coin 100 times and gets 58 heads.

That is the sample proportion of heads is, [tex]\hat p=0.58[/tex].

The critical value of z for 90% confidence level is, z = 1.645.

*Use a z-table.

Compute the 90% confidence interval for the probability of flipping a head with this coin as follows:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

     [tex]=0.58\pm 1.645\cdot\sqrt{\frac{0.58\times(1-0.58)}{100}}\\\\=0.58\pm 0.0812\\\\=(0.4988, 0.6612)\\\\\approx (0.499, 0.661)[/tex]

Thus, the 90% confidence interval for the probability of flipping a head with this coin is (0.499, 0.661).

The correct option is f.


Related Questions

A track team contains sprinters numbered 1,2,3,4,5 and distance runners numbered 1,2. Let S be the event of selecting a sprinter, D the event of selecting a distance runner, E the event of selecting an even numbered runner, and the event of selecting an odd runner. Selecting the sprinter numbered 1 is one outcome of which of the following events? Select all correct answers. Select all that apply: O DANDO ODORE DORO 00 OE' OS AND E

Answers

Answer:

D or O

E'

Step-by-step explanation:

Because the runner is a sprinter and the number is odd, the runner is an example of S and O. Therefore, it is also an example of E′ (not even) and D OR O.

For sprinter numbered 1 is outcome of S, D and O events.

Events to be determine that contain sprinter number 1. We have number of events that is for sprinter, distance runner, odd numbered, even numbered as S,D,O and E respectively.
Sample space = (1, 2, 3, 4, 5).

What is probability?

Probability can be defined as the possibility of the desired event to be happened.

Here, Numbered 1 is odd number, a sprinter and also a distance runner.
So, Numbered 1 is contain in S, D and O.

Thus, for sprinter numbered 1 is outcome of S, D and O events.

Learn more about probability here:

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50 points for a person who do all of this or more Exponent law

Answers

Answer:  4*4^2= 64

text me on brainly fo the other answer i don't have time

Step-by-step explanation:

Write in normal form 2.8 x 10⁶ ?

Answers

It would be 2,800,000

Answer

The answer is2600000

Help me answer this its due in like 3mins!! ILL GIVE YOU A BRAILLEST

Answers

Answer:

0.15 or 3/20

Step-by-step explanation:

Answer:

3/20

Step-by-step explanation:

9/10 = 0.9

0.9/6 = 0.15

0.15 = 3/20

What value of x is in the solution set of 9(2x + 1) < 9x - 18?

A. -4

B. -3

C. -2

D. -1

Answers

Answer:

b. -3

Step-by-step explanation:

9(2x+1) < 9x-18

(distribute the 9)

18x+9 <9x-18

(subtract 9 from both sides)

18x<9x-27

(subtract 9x from both sides)

9x<-27

(divide both sides by 9)

x<-3

B. Should be the answer :)

Dimensional Analysis Problems

Answers

Answer: oeidkssowkjss

Oop- sry

Step-by-step explanation:

What is the slope and y-intercept of the equation 3(y-2) + 6(x+1)-2 = 02

Answers

Answer:

i think its b

Step-by-step explanation:

just quessing though

A number decreased by 22 is 44. Which equation can be used to solve this problem

Answers

Answer:

44+22=x or x-22=44

Step-by-step explanation:

X is the unknown, and so x decreased (minus) 22 is(equals) 44, so x-22=44.

Hope this helps please mark brainliest :D

Please help....... thanks

Answers

Answer:

7 weeks

Step-by-step explanation:

49 divided by 7 is 7

y=.2x proportional or non-propertional

Answers

Answer:

If the ratios are equivalent then the relationship is proportional. With the graph, the origin is 0,0 (the starting point). A straight line through the origin = proportional. equation is of the form y=kx (y=2x).

]

What is the greatest common factor of 18 and 12?

Answers

Answer:

6

Step-by-step explanation:

W-4y+z=0 for z (please show work)

Answers

Answer: z=-w+4y

Step-by-step explanation:

W-4y+z=0

Calculate product

w-4y+z+0

Move variables to the right

Using one of the two interest formulas previously discussed, how long will it take $50,000 to
grow to $900,000 at 20% annual interest compounded quarterly? Round to the nearest
tenth.

Answers

Answer:

It will take 10 weeks

Step-by-step explanation:

im biggest brain

100 plates served. The 1st waiter turnes every plate upside down. Then another waiter turned every other plate. Then the 3d waiter turned every 3d plate. The 4th turned every 4th plate, and so on, until the 100th waiter turned the 100th plate. At the end how many plates are placed normally?

Answers

Answer:

At the end of the 100th turn, you have 90 plates placed normally.

Step-by-step explanation:

Not sure if there is a formula to calculate this.  I plugged the data into a spreadsheet and created formulas to turn every plate, every 2nd plate, every 3rd, .... to every 100th plate.

can you please help me with this question ​

Answers

bbbbbbbbbbb

bbbbbbbbbbbbb

bbbbbbbbbbb

ohh yea did i mention the answer is b?

Answer:

the answer would be b

good luck!

Select the correct answer. Kylie has finished creating her résumé. What should be her final step to complete the résumé? A. include a photograph B. include her contact details C. proofread the document D. mention her age

Answers

Answer:

C. Proofread the document

Step-by-step explanation:

All of the other steps should have already been done when she was creating her résumé. Hope this helps!

In ΔXYZ, the measure of ∠Z=90°, ZY = 4, XZ = 3, and YX = 5. What ratio represents the tangent of ∠X?

Answers

Answer:

[tex]tan\ X= \frac{4}{3}[/tex]

Step-by-step explanation:

Given

[tex]Z=90\°[/tex]

[tex]ZY = 4[/tex]

[tex]XZ = 3[/tex]

[tex]YX = 5[/tex]

Required

Determine tan x

This question can be illustrated using the attached image

Tan of an angle is calculated as:

[tex]tan \theta = \frac{Opposite}{Adjacent}[/tex]

In this case, it is:

[tex]tan\ X= \frac{ZY}{XZ}[/tex]

Substitute values for ZY and XZ

[tex]tan\ X= \frac{4}{3}[/tex]

Hence, the required ratio is 4/3

Answer:

4/3

Step-by-step explanation:

0.34 times 10 exponent 3

Answers

Answer:

340

Step-by-step explanation:

10^3=1000 so 0.34 x 1000 is 340

Answer:

340

Step-by-step explanation:

If we use the rule PEMDAS then we do the exponent first.

0.34 x 10 x 10 x 10

0.34 x 1000

340

Ross has 72 gumballs. He wants to share them equally between 6 friends. Which equation can be solved for "n" to find the number of gumballs

Answers

72÷6 = 12. Each friend will get 12 gumballs. Hope I helped!
Just use division and the answer is 12

HELP ME FIND SLOPE RATE CHANGE WILL GIVE BRAINLIEST

Answers

Answer:

1. RS= slope of 5/2

2. Pt= slope of -6/1 or -6

3.PQ= slope of 1/5

4. TS=slope of 0

5. QR= slope of -1/2

Step-by-step explanation:

Rise / run then simplify

Karen spent 39 minutes knitting 3 hats. In all, how many hats could Karen knit in 117 minutes

Answers

9 because 39\3 =13 and 13 divide by 117 =9

what is difference between applied force and normal force?​

Answers

Answer:

An applied force is a force that is applied to an object by a person or another object. If a person is pushing a desk across the room, then there is an applied force acting upon the object. The normal force is the support force exerted upon an object that is in contact with another stable object.

Let x = 2 + 8i and xy = –2 + 26i. What is y?

Answer: 3+i

Answers

Answer:

3 + i

Step-by-step explanation:

The solution for the complex function is equal to y = 3 + i.

What is a complex function?

The function which is made up of the real numbers, as well as imaginary numbers, are called complex numbers these numbers are represented by a +ib form where the first part is the real part and the second part is the imaginary form.

The given complex functions are x = 2 + 8i and xy is -2+ 26i. The value of y will be calculated as below:-

xy = -2+ 26i.

y = ( -2+ 26i ) / x

y =  ( -2+ 26i ) / ( 2 + 8i )

The value of the function will be calculated by rationalizing the function. When p and q are integers and q is not equal to zero, a result is a rational number, which has the form p/q. This ratio is between two integers.

The fundamental distinction between a fraction and a rational number is that fractions are always positive while rational numbers can be either positive or negative.

[tex]y =\dfrac{-2+26i}{2+8i} = \dfrac{-1+3i}{1+4i}[/tex]

[tex]y =\dfrac{-1+3i}{1+4i}\times \dfrac{1-4i}{1-4i}[/tex]

[tex]y = \dfrac{-1+4i+13i+52}{1+16}[/tex]

[tex]y = \dfrac{17i+51}{17}[/tex]

y = 3+i

Therefore, the solution for the complex function is equal to y = 3 + i.

To know more about complex functions follow

https://brainly.com/question/25841119

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- 2x² + 9x + 15 = 0​

Answers

Answer:

x1= -1.29436   x2= 5.79436

Step-by-step explanation:


Graph this line using the slope and y-intercept:
Y= 1/8X + 4

Click to select points on the graph.
10
9
8
o
6
5
4
3
2
1
0
1
2
3
4
5
6
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10
Submit

Answers

Answer:

98765432123459 that is te answer

Step-by-step explanation:

A cube has a volume of 125 square inches. What is the length of each edge?

Answers

Answer:

5 inches

Step-by-step explanation:

formula for cube volume is l^3

so 5^3 is equal to

5 x 5 x 5

which is

25 x 5

equals

125

Hope this helps!

Answer:

5 inches

Step-by-step explanation:

V=a^3

5^3 is 125 so the answer is 5

Which one of these four triangles is not similar? Explain how you know. Write a few
sentences and be sure to explain completely.

Answers

Answer:

Triangle D is different.

Every triangle is right-angled except for triangle D.

Proof for the 3rd angle of triangle D:

120+30+x = 180

150+x = 180

x = 30

Therefore, we can prove that there are no right angles in triangle D.

Adam is climbing up the stairs in a building. At a certain point, Adam starts counting the steps and when he reaches the last step, he has counted 56 steps. If he knows that there are a total of 100 steps in the building, how many steps did he climb before he started counting the steps?

Answers

Answer:

He climed 3 steps before he started counting the steps.

Step-by-step explanation:

pls mark me as a branliest

Answer:

The answer is he climbed 44 steps. Hope this helped :D

Step-by-step explanation:

Shirley can sew a skirt in 0.8 hours. To the nearest tenth, how many skirts could she make in 10.08 hours

Answers

Answer:

12.6

Step-by-step explanation:

10.08/.8 = 12.6, dividing the amount of time by the amount of time to make a skirt to get the number of skirts she can make

Mindy has 5 blue markers, 3 pink markers, and 4 green markers.



What is the probability she draws a blue marker, puts it on the table, and draws another blue marker?

Answers

Answer:

4/12 and 3/12

the simplified version is 1/3 and 1/4

Step-by-step explanation:

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