At the movies: A movie theater is considering a showing of The Princess Bride for a 80's thowback night. In order to ensure the success of the evening, they've asked a random sample of 53 patrons whether they would come to the showing or not. Of the 53 patrons, 18 said that they would come to see the film. Construct a 95% confidence interval to determine the true proportion of all patrons who would be interested in attending the showing.

Answers

Answer 1

Answer:

The 95% confidence interval to determine the true proportion of all patrons who would be interested in attending the showing is (0.2121, 0.4671).

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

Of the 53 patrons, 18 said that they would come to see the film.

This means that [tex]n = 53, \pi = \frac{18}{53} = 0.3396[/tex]

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].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3396 - 1.96\sqrt{\frac{0.3396*0.6604}{53}} = 0.2121[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3396 + 1.96\sqrt{\frac{0.3396*0.6604}{53}} = 0.4671[/tex]

The 95% confidence interval to determine the true proportion of all patrons who would be interested in attending the showing is (0.2121, 0.4671).


Related Questions

HELP HELP HELP PLS ✨

Answers

Answer:

C. 18

Step-by-step explanation:

4-6 paris = about 23

10-12 pairs = about 5

28 - 5 = 18

Find the 12th term of the sequence: 48, 44, 40, 36...
A.4 B.8 C.12 D.16 ​

Answers

Answer:

the answer that I found is A. 4

Answer:

So the answer is 4

48,44,40,36,32,28,24,20,16,12,8,4

You can just do 4×12=48

Step-by-step explanation:

4 is being subtracted

What is the value of x?

Answers

Last one 12
I got you:)

Which number line best models the expression 3 divided by 1/3?

Answers

Answer:

3 (divided by sign) 1/3

Step-by-step explanation:

The scale on a map is 55 cm : 88 km.

If the distance between two cities is 5656 km, how far apart in cm are the two cities on the map?

Answers

Answer:

look at the picture i have sent

Answer:

The cities are 35 cm apart in map.

The scale on a map is 5 cm : 8 km.

Step-by-step explanation:

mrk me brainliest please

HELP NEEDED ASAP!! Please CAN SOMEONE HELP

Answers

Answer:

Part 1:

y= 23

Part 2:

x=20

Step-by-step explanation:

Part 1:

cos(y) = 48/52

y=cos^-1(48/52)

y=22.619864948~23

Part 2:

48^2+x^2=52^2

x^2=2704-2304

x=sqrt(400)

x=20 or -20.

A negative length makes no sense, so x=20

Answer:

y = 23º

x = 20 cm

Step-by-step explanation:

Cos∅ = adj/hyp

cosy = 48/52

∅ = arccos48/52

use calculator

∅ = 22.619864948040426

Rounded

∅ = 23º

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

a² + b² = c²

x² + 48² = 52²

x² = 52² - 48²

x² = 400

x = 20 cm

I need some help please

Answers

9514 1404 393

Answer:

  (d) {-7, -2, 11, 20}

Step-by-step explanation:

You can put the domain values into the function and evaluate to find the corresponding range values. Here, we'll do them "all at once."

  y = 3{-4, -1, 2, 5} +5

  = {-12, -3, 6, 15} +5

  = {-7, 2, 11, 20} . . . . . matches choice d

_____

To save yourself some arithmetic, you can observe that the answer choices differ in the 2nd and 4th values, so you only need to evaluate the function for x=-1 or x=5 to determine the correct answer choice.

In a regression analysis, the actual values of Y may be found above or below the regression line. These deviations are called the _____. slope error term variance standard error of the mean standard deviation

Answers

Answer:

Error term

Step-by-step explanation:

Given :

In a regression analysis, the actual values of Y may be found above or below the regression line. These deviations are called the _____. slope error term variance standard error of the mean standard deviation

To find :

Fill in the blanks.

Now, In a regression analysis, the actual values of Y may be found above or below the regression line. These deviations are called the Error term.

Because we use the error term in the regression analysis difference between the actual value of [tex]Y[/tex] and the approximate value of [tex]Y[/tex] which is above of actual value or below of actual value.

 As [tex]Y[/tex]is an actual value and [tex]Y_0[/tex] is an approximate value then,

[tex]|Y-Y_0|[/tex] is an error.

It is a vertical distance between the actual value and the approximate value  of [tex]Y[/tex].

So, the error term is always positive.


There are 50 pennies in a roll. If you have 150 rolls of pennies, how many pennies do you have?

Answers

Answer: 7500

Step-by-step explanation:

multiply 150 by 50

Can someone help me please?

Answers

Slope : -2

y - intercept : 3

Equation : y = -2x+3

Answer:

Step-by-step explanation:

Slope: -0.5

Y-Intercept: 3

y = -0.5x+3

Joelle bought some fruit at the store. They bought 5 apples and a bunch of bananas. The bananas cost $1.50, and the total cost was $5.24. How much did each apple cost?

Define your variable: a represents…
Write an equation using your variable that matches the situation.
Solve your equation. Show all your steps.
Write your answer in a complete sentence.

Answers

Answer:

$3.74

Step-by-step explanation:

we already know the cost of the banana's and it gives us the total price including apples. So $5.24 - $1.50 = $3.74, and the 3.74 is the cost of apples

e If M P = Rs 420,SP. 405 then
find discount​

Answers

Answer:

discount=MP-SP

=Rs420-Rs405

=Rs15

Step-by-step explanation:

I NEEED SOMEBODY TO HELP ME OUT WITH THIS QUESTION THXS

Answers

Answer:

The answer is less than that is the answer

Yuan reads 10 books from the library each month for x months in a row. Write an expression to show
how many books Yuan read in all. Then, find the number of books Yuan read if he read for 2 months.

Answers

Answer:

10x

20

Step-by-step explanation:

expression

10x

for x = 2

10 (2)

20

I need help please. ​

Answers

the answer it c........

A car accelerates uniformly from 3.5 m/s to 12.5 m/s in 4.5 s.
What is the magnitude of the acceleration?
a) 0.3 m/s²
b) 0.5 m/s²
c) 2.0 m/s²
d) 3.6 m/s²

Answers

Answer:

c) 2.0 m/s^2.

Step-by-step explanation:

Acceleration = change of velocity / time

= (12.5 - 3.5)/4.5

= 9/4.5

= 2.0 m/s^2.

SOLVE THR SIMULTANEOUS EQUATIONS
3X+Y=8
X-3Y=11
ANSWER PLEASE​

Answers

Answer:

if you just wanted the equations fixed: y= -3x + 8 & y= 1/3x - 11/3

but if you wanted x then x = 7/2

Step-by-step explanation:

3x + y = 8 *subtract 3x from both sides*

y = -3x + 8

x - 3y = 11 *add 3y to both sides*

x = 3y + 11 subtract 11 from both sides*

x - 11 = 3y * divide both sides by 3*

1/3x - 11/3 = y --> y = 1/3x - 11/3

and to solve for x i just used ma thway but if you did want to solve it you'd need to put the equations equal to each other --> -3x + 8 = 1/3x - 11/3

5% equals what fraction, in lowest terms?

Answers

Answer:

1/20

Step-by-step explanation:

According to G0ogle 5 percent equals 1/20 in lowest terms.

Answer:

5% equals 5/100 which is 1/20 in lowest terms.

Step-by-step explanation:

5% is basically equivalent to 5/100. 5/100 in lowest terms is 1/20 since you divide the numerator and denominator by 5.

I hope this helps, have a nice day.

Find the area of the triangle

Answers

Answer:

About 292.72

Step-by-step explanation:

We can imagine a circle circumscribed around the triangle, then solve it as we normally do using the apothem. By dividing 360 by the number of sides (3) we know that the central angle constructed by the apothem and radiuses would be 120. Divided by 2 (because we are using a right triangle to solve it) is 60. Now with this you can either use trig ratios (sin, cos, or tan) or use special right triangles (30-60-90 or 45-45-90). I used special rights. With this I know my apothem is [tex]\frac{13\sqrt{3} }{3}[/tex]. Perimeter is 26 times 3 which is 78. The formula for area of regular polygons is 1/2(perimeter times apothem). When we plug our values in the answer is about 292.72. You are lucky that I just had my test on this, I hope it helps.

Here is my work since this is very visual for me:

Can someone help me really please

Answers

Answer:

b

Step-by-step explanation:

3/3 = 1

Answer:

C

Step-by-step explanation:

Find the component form of the resultant vector.
u=-12i + 35j
Find: -8u
A) 10V 47 - 1 + 10j
B) -40i + 35j
C) 961 – 280j
D) 151 – 5V3.j

Answers

Answer:

C) 96i – 280j

Step-by-step explanation:

Multiplying vector by constant:

When a vector is multiplied by a constant, each component of the vector is multiplied by this constant.

In this question:

u = -12i + 35j

-8u = -8(-12i + 35j) = (8*12i - 8*35j) = 96i - 280j.

The answer is C) 96i – 280j

Find the volume of the prism. round to the nearest tenth

Answers

Answer:

V = 310.5 cm³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Prism Formula: V = lwh

l is lengthw is widthh is height

Step-by-step explanation:

Step 1: Define

Identify variables

l = 13.8 cm

w = 4.5 cm

h = 5 cm

Step 2: Solve for V

Substitute in variables [Volume of a Prism Formula]:                                    V = (13.8 cm)(4.5 cm)(5 cm)Multiply:                                                                                                             V = (62.1 cm²)(5 cm)Multiply:                                                                                                             V = 310.5 cm³

How much is three times two

Answers

Answer:

the answer is 6.

Step-by-step explanation:

Answer:

6.

Step-by-step explanation:

3+3=6 = 2×3=6

you can do draw 3 circles 2 times and add it all together.

The diagram shows two right angled triangles, joined together along a common side.
Calculate the area of the triangle ACD.
you must show all your working.
(Pleaseee it’s really urgent!)

Answers

Answer:

AC² = 10.8²+14.4² = 324

AC = √324= 18

area = AC.DC÷2

area=18×24÷2

area=216

Answer:

216 centimeters squared

Step-by-step explanation:

working is above

The scatter chart below displays the residuals verses the dependent variable, x. Which of the following conclusions can be drawn based upon this scatter chart? a. The residuals are normally distributed. b. The model over predicts the value of the dependent variable for small values and large values of the independent variable. c. The model fails to capture the relationship between the variables accurately, and there may exist nonlinear relationship. d. The residuals have a constant variance.

Answers

Answer: Hello the scatter plot related to your question is missing attached below is the scatter plot

answer :  The model fails to capture the relationship between the variables accurately, and there may exist nonlinear relationship ( C )

Step-by-step explanation:

The conclusion that can be drawn based upon the scatter chart is that The model fails to capture the relationship between the variables accurately, and there may exist nonlinear relationship

A scatter plot helps in observing the relationship within different numeric variables but the scatter plot attached fails in the showing the actual relationship

Voce 2x-u - 1x2-3x+3 = 2​

Answers

Answer:

u=−x2−x+1

Step-by-step explanation:

Let's solve for u.

2x−u−1x^2−3x+3=2

Step 1: Add x^2 to both sides.

−x2−u−x+3+x2=2+x2

−u−x+3=x2+2

Step 2: Add x to both sides.

−u−x+3+x=x2+2+x

−u+3=x2+x+2

Step 3: Add -3 to both sides.

−u+3+−3=x2+x+2+−3

−u=x2+x−1

Step 4: Divide both sides by -1.

−u/−1=x2+x−1

−1/u=−x2−x+1

Answer:

u=−x2−x+1

plzzzzzzzz help for a brainly

Answers

Answer:

The first one is supplementary

The second one is complementary

The third one is vertical

Step-by-step explanation:

Answer:

First answer is supplementary.

second answer is complementary.

Third answer is Vertical.

please help I'll give brilliantist:)​

Answers

Answer:

-7

Step-by-step explanation:

The full coordinate is (-7,3) the dot is on the line between -6 and -8

Answer:

-7

Step-by-step explanation:

x = 3

y = -7

the answer is just -7

Can somebody help me

Answers

Answer:

Angles in a triangle sum to 180.

So

x= 180 - 75 - 43

x=62°

Answer:

x=62°

Step-by-step explanation:

x= 180 - 75 - 43

7s-(2t+3s)-(5s-8t)please also explain how u got the ans​

Answers

Answer:

-s+6t

Step-by-step explanation:

7s-(2t+3s)-(5s-8t)

7s-2t-3s-5s+8t

7s-3s-5s-2t+8t

4s-5s+6t

-s+6t

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