13% of a sample of 200 students do not like ice cream. What is the 95% confidence interval to describe the total percentage of students who do not like ice cream?

13% Of A Sample Of 200 Students Do Not Like Ice Cream. What Is The 95% Confidence Interval To Describe

Answers

Answer 1

The 95% confidence interval is (8.3%,17.7%), and the correct option is C.

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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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

------------------------------------------

13% of a sample of 200 students do not like ice cream.

This means that [tex]\pi = 0.13, n = 200[/tex]

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95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

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The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.13 - 1.96\sqrt{\frac{0.13*0.87}{200}} = 0.083[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.13 + 1.96\sqrt{\frac{0.13*0.87}{200}} = 0.177[/tex]

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As a percentage:

0.083x100% = 8.3%0.177x100% = 17.7%

Thus, the 95% confidence interval is (8.3%,17.7%), and the correct option is C.

A similar problem is given at https://brainly.com/question/22223066


Related Questions

what is the difference between growth and development

Answers

Answer:

growth is usually reffered to as physical growth happening in size while development happens more gradually and happens mentally.

Step-by-step explanation:

idk if u meant pyscologically or not but that is my understanding.

40 points if answered

ZA and B are supplementary angles. If m A = (82 + 6)° and m
B = (72 +24), then find the measure of ZB.

Answers

Answer:

94

Step-by-step explanation:

Supplementary angles add to 180

8x+6  + 7x+24 = 180

Combine like terms

15x+30=180

Subtract 30 from each side

15x+30-30 = 180-30

15x= 150

Divide by 15

15x/15 = 150/15

x = 10

We want to find angle B

B = 7x+24 = 7*10+24 = 70+24 = 94

Answer:

Supplementary angles are angles that add up to 180 degrees (in other words, make up a straight line when you put them together).  

So we can write: (8x+6) + (7x+24) = 180

Combine like terms: 15x+30 = 180

Subtract: 15x = 150

Divide: x = 10

If x = 10, and the measure of angle B can be written as 7x+24, then the measure of angle b is 7(10)+24, or 94.

Let me know if this helps!

Each leg of a 45°-45°-90° triangle measures 12 cm.
What is the length of the hypotenuse?
Z
х
45°
45°
O 6 cm
12 cm
12 cm
O 672 cm
O 12 cm
O 122 cm

Answers

Answer:

The legs are 12 cm each, so the hypotenuse is

√(144+144)=12√2

Step-by-step explanation:

Applying the Pythagorean Theorem, the length of the hypotenuse is:  12√2 cm.

The Pythagorean TheoremWhere, a and b are two legs of a right triangle, and c is the hypotenuse, the Pythagorean Theorem states that, c² = a² + b².

Given the two legs of the right triangle to be 12 cm

Therefore:

c² = 12² + 12².

c² = 288

c = √288

c = 12√2 cm

Therefore, applying the Pythagorean Theorem, the length of the hypotenuse is:  12√2 cm.

Learn more about, the Pythagorean Theorem on:

https://brainly.com/question/654982

Find perimeter of square with its each side a cm.​

Answers

Answer:

4cm

Step-by-step explanation:

Each side of the square = 1cm

Perimeter of a square = 4xside

= 4x1 = 4

Answer From Gauth Math

Can someone help me with this question?​

Answers

Sure the answer is obviously 9


11.) Michael earns $2 for every pizza he delivers, plus $30 each day. How many pizzas does he need to deliver today to earn $80? First, write the eqation that fits this model. Let p be the amount of pizza he delivers

Answers

Im not sure sorry but it might be $30 or 285

Answer:

2p + 30 = 80

p=25

Step-by-step explanation:

he earns $2 for each pizza, so we get 2p.

Because he earns an extra 30 for the day, we add that to 2p and set it equal to 80

2p+30=80

subtract 30 on both sides

2p=50

Divide by 2 on both sides to find the number of pizzas

2p/2=50/2

So

p=25

I had 180 mL of water in a measuring cylinder.
I added a stone. The reading is now 195 mL.
What is the volume
of the stone?

Answers

Answer:

15×10^-6 cubic meter

Step-by-step explanation:

The volume of the stone is, 195-180 = 15 mL

which is, 15×10^-6 m³

Answer:

=15

Step-by-step explanation:

195ml - 180ml

= 15

the first measuring minus with the second measuring will get the volume for the stone

which function's graph has asymphotes located at the values x=+=n pi ? 1. y=csc x 2. y= cos x 3. y=tan x 4. y=cot x answer choices: A. 2 only B. 1 and 4 only C. 1 only D. 1 and 3 only please help!! ):

Answers

Here is the answer c I’d choose the cheeseburger

I need help will rate you branliest

Answers

Answer:

[tex] {x}^{2} + 5x + 10[/tex]

Answer:

[tex]\large \boxed{x^2 +5x+10}[/tex]

Step-by-step explanation:

A polynomial is an expression that has variables, coefficients, and constants.

An example of a polynomial can be x² - 6x + 2.

If the null hypothesis is true in a chi-square test, discrepancies between observed and expected frequencies will tend to be

Answers

Answer:

If the null hypothesis is true in a chi-square test, discrepancies between observed and expected frequencies will tend to be small enough to qualify as a common outcome.

Step-by-step explanation:

Here in this question, we want to state what will happen if the null hypothesis is true in a chi-square test.

If the null hypothesis is true in a chi-square test, discrepancies between observed and expected frequencies will tend to be small enough to qualify as a common outcome.

This is because at a higher level of discrepancies, there will be a strong evidence against the null. This means that it will be rare to find discrepancies if null was true.

In the question however, since the null is true, the discrepancies we will be expecting will thus be small and common.

Find the common factor of 75,00 and 60​

Answers

The common factors of 60 and 75 are

1, 3, 5 and 15

And GCF is 15

Must click thanks and mark brainliest

Please answer in less then 5 mins

Answers

Answer: It's probably going to be C. Just a hunch!

If you half a half, you will have 2 pieces.

THIS IS JUST A GUESS! THINK BEFORE YOU RISK!

Answer:

Its C

Step-by-step explanation:

because assume you have 2 squares, having the 1/2 is like cutting a square into 4 pieces.

1) At AJ Welding Company they employ 253 people, 108 employees receive 2 weeks of paid 1) _______ vacation each year. Find the ratio of those who receive 2 weeks of paid vacation to those whose paid vacation is not 2 weeks.

Answers

Answer:

108 : 145

Step-by-step explanation:

253 - 108 = 145

Ratio of those who receive 2 weeks of paid vacation is 108

Ratio of those paid vacation is not 2 weeks is 145

108 : 145

prove that if f is a continuous and positive function on [0,1], there exists δ > 0 such that f(x) > δ for any x E [0,1] g

Answers

Answer:

I dont Know

Step-by-step explanation:

The parallelogram shown below has an area of 15 units^2.

Answers

Answer:

yes

Step-by-step explanation:

yes E

Least you greatest (help please but don’t give wrong answer pls)

Answers

Answer:

84.16, 84.31, 675/8, 423/5

Step-by-step explanation:

In order to purchase a new backyard patio in 3 years, the Robinsons have decided to deposit $1,700 in an account that earns 6% per year compounded monthly for 3 years. How much money will be in the account in 3 years?

Answers

Answer: A = 2,034.356 ≈ $2,034.36

$2,034.36 will be in the account in 3 years

Step-by-step explanation:

Given that ;

P = $1,700

Rate r = 6%

Time period (t) = 3 years

now to find how much money will be in the account in 3 years

we say;

A = P ( 1 + r/n )^nt

A = 1,700 ( 1 + 0.06/12) ¹²ˣ³

A = 1,700 ( 1.19668)

A = 2,034.356 ≈ $2,034.36  

around 2.232 to the nearest hundredth

Answers

[tex]2.232\approx2.32[/tex]

At the annual music festival, the number of Bayview Middle School students competing in the band, chorus, and orchestra competitions is 14, 13, and 17 students respectively. 4 students will compete in all three competitions. 5 students will compete in band and chorus competitions. 6 students will compete in band and orchestra competitions. 7 students will compete in the chorus and orchestra competitions. How many students from Bayview Middle School competed in the music festival

Answers

Answer:

30 students

Step-by-step explanation:

The problem above can be solved using a Venn diagram :

Using the information given :

The number of students competing :

Band and chorus only (BnC) only = 5 - 4 = 1

Band and Orchestra (BnO) only = 6 - 4 = 2

Chorus and Orchestra (CnO) only = 7-4 = 3

Chorus only (C) = 13 - (1+4+3) = 5

Band only (B) = 14 - (1+4+2) = 7

Orchestra only (O) = 17 - (2+4+3) = 8

The Total Number of Bayview students who competed :

(8+7+5+3+2+1+4) = 30

Suppose the following data show the prices of 4 cars with similar characteristics that sold at a recent auction (in thousands of dollars): 6.6, 5, 10.7, 7.3. Calculate the standard deviation of the sample of selling prices. (please express your answer using 2 decimal places)

Answers

Answer: 2.40

Step-by-step explanation:

Given: The prices of 4 cars with similar characteristics that sold at a recent auction (in thousands of dollars): 6.6, 5, 10.7, 7.3.

Let x: 6.6, 5, 10.7, 7.3.

n= 4

Mean : [tex]\overline{x}=\dfrac{\sum x}{n}[/tex]

[tex]\Rightarrow\ \overline{x}=\dfrac{6.6+5+10.7+7.3}{4}\\\\=\dfrac{29.6}{4}\\\\=7.4[/tex]

Now , standard deviation = [tex]\sqrt{\dfrac{\sum(x-\overline{x})^2}{n-1}}[/tex]

[tex]=\sqrt{\dfrac{(6.6-7.4)^2+( 5-7.4)^2+( 10.7-7.4)^2+( 7.3-7.4)^2}{4-1}}\\\\=\sqrt{\dfrac{0.64+5.76+10.89+0.01}{3}}\\\\=\sqrt{\dfrac{17.3}{3}}\approx2.40[/tex]

Hence, the standard deviation of the sample of selling prices = 2.40

PLEASE HELP !! (4/5) -50 POINTS-

Answers

First equation:

2 -7 6 | 7

Second: x + 3y - 4z = 5
1 3 -4 | 5

Third: x + 6y - 15z = -6
1 6 -15 | -6

Arranged augmented matrix:

2 -7 6 | 7
1 3 -4 | 5
1 6 -15 | -6

Answer:

2 -7  6   7

1 3    -4  5

1 6  -15  -6

Step-by-step explanation:

An augmented matrix is the coefficients of the variables and then the solution in rows

Rewriting the equations

2x -7y +6x = 7

x +3y -4z = 5

x +6y -15z = -6

The matrix is

2 -7  6   7

1 3    -4  5

1 6  -15  -6

in this diagram, bac~edf. if the area of bac= 6 in.², what is the area of edf? PLZ HELP PLZ PLZ PLZ

Answers

Answer:

2.7 in²

Step-by-step explanation:

Area of ∆BAC : ∆Area of EDF = BC² : EF² (based on the area of similar triangles theorem)

Thus:

[tex] 6 in^2 : x in^2 = (3 in)^2 : (2 in)^2 [/tex]

[tex]\frac{6}{x} = \frac{3^2}{2^2}[/tex]

[tex]\frac{6}{x} = 2.25[/tex]

[tex]\frac{6}{x}*x = 2.25*x[/tex]

[tex]6 = 2.25x[/tex]

[tex]\frac{6}{2.25} = \frac{2.25x}{2.25}[/tex]

[tex]2.67 = x[/tex]

Area of ∆EDF = 2.7 in²

help it's due in 20 minutes ​

Answers

Answer:

Its the first one | -9 | < | 9 |

Step-by-step explanation:

its false because both sides are identical

Hope this helps!

Answer:

Choice A

Step-by-step explanation:

|-9| = |9| = 9, not true-2² = -4 < 3, true-7≤-5, true|-1| = 1 ≥ 0, true

Find an equation of the line through the given pair of points. (-7,-5) and (-1,-9) The equation of the line is (Simplify your answer. Type an equation using x and y as the variables. Use integers or fractions for any numbers in the equation.) please help​

Answers

Answer:

The equation of the line is y = -2/3x - 29/3

Step-by-step explanation:

The slope of these points (-7,-5) and (-1,-9) is m = -2/3

Once you plug that into the y = mx + b equation, you can see that the y-intercept is -29/3.

Put all of that into the y = mx + b equation and you'll get -->  y = -2/3x - 29/3

7. Kylie bikes at a speed of 100 yards per minute. Robert bikes at a speed of 240 feet per minute. In feet per second, how much faster does Kylie bike than Robert?​

Answers

440 feet she get equal

24. After a vertical reflection across the x-axis, f(x) is

Options:

A. –f(x)
B. f(x – 1)
C. –f(–x)
D. f(–x)

Answers

Answer:

A. –f(x)

Step-by-step explanation:

The transformation of a reflection about the x-axis is

f(x) -> -f(x).

So the answer is

A. –f(x)

The probability that a company will launch the product A and B are 0.45 and 0.60 respectively, in main while, probability that both products launched, is 0.35. what is the probability that Neither will of these products launch ? At least one product will be launched ?

Answers

Answer:

a) what is the probability that Neither will of these products launch ?

= 0.30

b) At least one product will be launched ?

= 0.70

Step-by-step explanation:

From the above question, we have the following information:

P(A) = 0.45

P(B) = 0.60

P(A ∩ B) = P(A and B) launching = 0.35

Step 1

We find the Probability that A or B will launch

P (A ∪ B) = P(A) + P(B) - P(A ∩ B)

= 0.60 + 0.45 - 0.35

= 1.05 - 0.35

= 0.70

a) what is the probability that Neither will of these products launch ?

1 - Probability ( A or B will launch)

= 1 - 0.70

= 0.30

b)At least one product will be launched?

This is equivalent to the probability that A or B will be launched

P (A ∪ B) = P(A) + P(B) - P(A ∩ B)

= 0.60 + 0.45 - 0.35

= 1.05 - 0.35

= 0.70

Write C=5/9(F-32) in standard form

Answers

Answer:

f360 is the ans

Step-by-step explanation:

Rebecca is comparing prices on toilet paper. Charmin has 18 rolls, each with 200 sheets, for $12.97. Angel Soft has 24 rolls, each with 425 sheets, for $19.98. Which is the better value?

Answers

The product that provides the better value per sheet is Angel Soft toilet paper.

Each sheet of Angel Soft costs $0.20 whereas each sheet of Charmin costs $0.36.

Data and Calculations:

Charmin has 18 rolls, each with 200 sheets, for $12.97

Angel Soft has 24 rolls, each with 425 sheets, for $19.98

Product      Rolls  Sheets   Total Sheets      Total Cost    Cost per Sheet

                           in a Roll  (rolls x sheet)                   (Total cost/No. Sheets)

Charmin      18     200      3,600 (18 x 200)   $12.97  $0.36 ($12.97/3,600)

Angel Soft  24    425     10,200 (24 x 425)  $19.98  $0.20 ($19.98/10,200)

Thus, Rebecca should go for Angel Soft toilet paper because it provides a better value per sheet than Charmin toilet paper.

Learn more about better product values here: https://brainly.com/question/14920077

Look at parallelogram below d1 and d3 Are both 35 degrees what is the measurement of d2

Answers

Answer:

  145 degrees

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary.

  d2 = 180° -d1 = 180° -35°

  d2 = 145°

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