A recent poll taken by the movie theatre industry shows that 28% of the population attends a movie in a theater at least once a month. A sample of 300 people shows that only 12% of people attends a movie in a theater at least once a month. To determine whether this sample supports the population proportion of 0.28, a simulation of 100 trials is run, each with a sample size of 200 and a point estimate of 0.12. The minimum sample proportion from the simulation is 0.10, and the maximum sample proportion from the simulation is 0.28. What is the margin of error of the population proportion using half the range?

Answers

Answer 1

Answer:

The margin of error for this population proportion using half the range = ±0.09

Step-by-step explanation:

Confidence Interval is basically an interval of range of values where the true proportion can be found with a certain level of confidence.

Margin of Error is the width of the confidence interval about the central proportion.

For this question, the minimum sample proportion from the simulation is 0.10, and the maximum sample proportion from the simulation is 0.28, hence, the confidence interval for the question is (0.10, 0.28).

The width of this confidence interval = (Upper limit of the interval) - (Lower limit of the interval) = 0.28 - 0.10 = 0.18.

Hence, the margin of error for this population proportion using half the range, is 0.18/2 = 0.09.

Written appropriately as ±0.09.

Hope this Helps!!!


Related Questions

Amanda wants to make a rectangular fenced area for her dogs. She wants the area to be 32 square feet with the length of the yard being twice the width. What would it cost Amanda to put up fencing for her dogs if the fencing costs $3.00 per foot? (Hint: Find the perimeter first.)

Answers

The fence is a 8x4 fence as they multiply up to 32 square feet and 8 is double 4. If you add 8+8+4+4 you will get 24. Then you multiply the perimeter (24) by 3 to get the final cost. This means that the final cost will be $72.00.

A recipe for bread uses 5 3/4 cups of white flour and 3 1/3 cups of wheat flour. How many more cups of white flour than wheat flour are used in the recipe? Write an equation and complete the bar diagram to solve.

Answers

The equation is just 5 3/4 times 3 1/3. You make the denominators the same by multiplying them by each other. It will be 5 3/12 times 3 1/12. Now you times these two together. You can do this part yourself because it will be confusing on here. I hope i helped atleast a little.
Final answer:

The recipe uses 2 5/12 cups more white flour than wheat flour. To find this, convert the amounts to improper fractions, find a common denominator, and then subtract the amount of wheat flour from the amount of white flour.

Explanation:

To find out how many more cups of white flour are used than wheat flour in a bread recipe, you need to calculate the difference between the amounts of the two flours. The recipe calls for 5 3/4 cups of white flour and 3 1/3 cups of wheat flour. To do this mathematically, we must first convert these mixed numbers to improper fractions.

The white flour amount, 5 3/4 cups, can be converted as follows: (5 × 4) + 3 = 20 + 3 = 23/4 cups. Similarly, the wheat flour amount, 3 1/3 cups, converts to (3 × 3) + 1 = 9 + 1 = 10/3 cups.

Now, to find the difference, we subtract the wheat flour from the white flour:

23/4 (white flour) - 10/3 (wheat flour)

Before subtraction, you have to ensure that both fractions have the same denominator. The least common denominator here is 12. The equation now becomes:

(23 × 3)/(4 × 3) - (10 × 4)/(3 × 4) = 69/12 - 40/12

Simplifying the subtraction gives us:

69/12 - 40/12 = 29/12

Therefore, the recipe uses 29/12 cups, or 2 5/12 cups more white flour than wheat flour.

Please Help Me Asap! Urgent! PLEASE

Answers

Problem 1.

1/2 bag: peanuts
1/4 bag: choc candies
1/4 bag: dried fruit

Form the above, you can conclude:
Choc candy and dried fruit have the same likelihood of being drawn.
Choc candy and dried fruit have less likelihood of being drawn than peanuts.

A. False
B. False
C. False
D. True

Answer for problem 1. is choice D.


Problem 2.

Answer for problem 2. is A.

PLEASE HELP!!!ASAP!!!!
Write an equation that you can use to solve for x.

Enter your answer in the box.

Answers

180 - 100 = 80

equation
x = 180 - 80 - 60

to find x
x = 180 - 140
x = 40

41/17 as a decimal rounded to the nearest tenth

Answers

The correct answer is 2.4

Which expression could be used to solve this problem? Tom is making lunch for his 3 children. He wants to give each child 2 carrot sticks and 5 pieces of celery. How many of these vegetables does Tom need? A. 2 × (3 × 5) B. 3 × (2 + 5) C. 3 × 2 + 5 D. 5 + 2 × 3

Answers

Each child = 2 + 5

Three children = (2 + 5) x 3

Ansswe is B. 3 x (2 + 5)

Hope this helps. - M

What is the discriminant of the quadratic equation

Answers

The discriminant is  b^2 -4ac
a = 1
b = -2
c = 4

discriminant = 4 -4 * 1 * 4 =
4  -16 =
 -12
I get MINUS 12 as the answer but that isn't one of the choices.





Final answer:

The discriminant of a quadratic equation ax²+bx+c = 0 is found using the formula b² - 4ac. It helps determine the nature of the roots of the equation, with the sign of the discriminant indicating whether the roots are real or complex.

Explanation:

The discriminant of a quadratic equation, written in standard form as ax²+bx+c = 0, is found using the formula b² - 4ac. This value comes from the quadratic formula used to solve for the roots of the equation: -b ± √b² - 4ac divided by 2a. This discriminant can help determine the nature of the roots without solving the entire equation. If the discriminant is positive, the quadratic has two distinct real roots. If it is zero, there is one real root. If the discriminant is negative, there are two complex roots.

For example, consider the quadratic equation x² - 4x + 4 = 0. Here, a = 1, b = -4, and c = 4. Therefore, the discriminant is (-4)² - 4(1)(4) = 16 - 16 = 0. This means the equation has one real root.

Learn more about Discriminant here:

https://brainly.com/question/34396755

#SPJ11

Which statement is true about the distribution? A line ranging from 0 to 120 with boxes between 15 and 28, 28 and 34, 34 and 40, and 40 and 48. The IQR is the best measure of variability because the distribution has an outlier. Either the IQR or the range are good measures of variability because the distribution has an outlier. Either the IQR or the range are good measures of variability because the distribution has no outliers. The range is the best measure of variability because the distribution has an outlier.

Answers

Each statement mentioned indicates that there is an outlier.  Whenever there is an outlier, the interquartile range is always going to be the best measure of variability because an outlier will make the data seem more variable due to the number that is far away from the rest of the numbers.

The correct answer is the first choice.

Answer: The answer is A. "The IQR is the best measure of variability because the distribution has an outlier."

Step-by-step explanation:

Tommy has a history test on Monday morning. He writes down the number of minutes he studies for the test each day for a week. Using his chart, calculate the average number of minutes he studied each day. If necessary, round your answer to the nearest tenth.    Day       Mins
                          Monday-30
                          Tuesday-20
                          Wednesday-0
                          Thursday-0
                          Friday-0
                          Saturday-0
                          Sunday-120

Answers

To find the average, add up all the numbers, then divide that answer by the quantity of numbers.

STEP 1:
add all numbers

=30 + 20 + 0 + 0 + 0 + 0 + 120
=170 total


STEP 2:
divide total from step 1 by 7 (total quantity of numbers given, including zeros)

=170 ÷ 7
=24.2857
=24.3 rounded to nearest tenth


***You could also calculate the average by adding only non-zero results (20,30,120) and then dividing by 3 (the quantity of only non-zero numbers).


ANSWER: The average number of minutes studied per day is 24.3.

Hope this helps! :)

Answer:

The Answer for this question is merely 30.7

Step-by-step explanation:


Image point B (4,-8) was transformed using the translation (x-2,y+3) what were the coordinates of B?

Answers

The coordinates of the image point are given to be B(4, -8). We are to find the coordinates of pre-image that is the coordinates before the translation.

The translation made was (x-2, y+3) 

This means, the x coordinate was moved 2 units to left and y coordinate was moved 3 units above. 

So, the coordinates of original point will be, 2 units to right of B and 3 units down of B.

So the coordinates will be (6, -11)
 

Answer: (6, -11)

Step-by-step explanation:

A pizza stand offer both hand- tossed and pan pizza. customer can add any combination of the six available topping.

Answers

Final answer:

There are 12 varieties of pizza available based on the given options: 2 crust options and 6 topping options.

Explanation:

Pizzas can have different varieties depending on the toppings and crust options. Let's calculate the number of varieties we can get using the multiplication principle.

Suppose there are 6 available toppings and 2 crust options (hand-tossed and pan). A customer can choose any combination of these toppings. So, there are 2 options for the crust and 6 options for each topping. Using the multiplication principle, we multiply the number of options for each factor: 2 (crust) * 6 (topping) = 12 varieties.

Therefore, there are 12 varieties of pizza available based on the given options.

The number of possible outcomes for a pizza order is calculated by considering 2 crust types and 64 topping combinations, resulting in:

[tex]\[ 2 \times 64 = 128 \][/tex]

Thus, there are [tex]\(\boxed{128}\)[/tex]possible outcomes.

To solve this problem, we need to find the total number of possible outcomes for a customer ordering a pizza at the stand. There are two main choices to consider:

1. The type of pizza crust (hand-tossed or pan).

2. The combination of toppings (from a set of six available toppings).

Step-by-Step Calculation

Step 1: Determine the choices for the type of pizza crust

There are 2 types of crusts available:

- Hand-tossed

- Pan

This gives us 2 choices for the crust.

Step 2: Determine the choices for the toppings

For each of the 6 available toppings, a customer can either choose to include the topping or not. Each topping thus has 2 choices: include or not include.

Since the choices for each topping are independent, we can use the multiplication rule of counting (specifically, the rule for combinations):

[tex]\[2^{6} \text{ combinations of toppings}\][/tex]

Calculating this gives:

[tex]\[2^{6} = 64 \text{ combinations}\][/tex]

Step 3: Combine the choices for crust and toppings

The total number of possible outcomes is the product of the number of choices for the type of crust and the number of combinations of toppings.

[tex]\[2 \text{ (types of crust)} \times 64 \text{ (combinations of toppings)} = 128 \text{ outcomes}\][/tex]

Therefore, the number of possible outcomes in the sample space is:

[tex]\[\boxed{128}\][/tex]

How do you solve | P-1| = 4 in a absolute value equation

Answers

Under a sign of absolute value can stay positive or negative number.
If it is a positive number then the its absolute value is a number.

1) p-1=4
p=4+1
p=5

If it is a negative number then the its absolute value is a opposite of a number.

2) -(p-1)=4
-p+1=4
-p=4-1
-p=3
p=-3

So, this equation has 2 roots p=5, and p=-3.

Check:
|p-1|=4
|5-1|=4
|4|=4
4=4 True

|p-1|=4
|-3-1|=4
|-4|=4
4=4 True

The two cones are similar. Find the surface area of the larger cone. Round your answer to the nearest hundredth. A.810.28cm squared. B.847.80cm squared. C.868.30cm squared. D.886.25cm squared

Answers

The correct answer is letter C. 868.30 cm^2 (centimeter squared)

See attached figure for reference of the two cones.


Solution:

Find first the radius.

To find the radius we must multiply 13.8 to 4.6 and multiply it by 3.7

Thus,

(13.8 / 4.6) x 3.7 = 11.1

To find the surface area of the larger cone we use this formula:

((pi x rad x slide length) + (pi x rad^2))

Where:

rad or radius = 11.1
slide length = 13.8

((pi x 11.1 x 13.8) + (pi x 11.1^2)) = 868.30 cm^2




Answer: The answer is C.868.30cm

You start a search for a buried object by marking the center of a field as (0, 0), with coordinates giving distances in yards. Coordinates to the north or east are positive, and coordinates to the south or west are negative. You find nothing at (–5, 3), so you try a likely looking spot 6 yards to the east and 5 yards to the south of the first spot. What are the coordinates of the second spot?

Answers

(-1,-1) or (-10,9) i haven't done graphing for a while but its one of those two

In order to make a servings for four 1 3/4 cups of chopped vegetables are needed based on this information determine the amount of chopped vegetables needed to make a recipe for ten

Answers

the amount of vegetables needed for 10 is 4  3/8 cups

Answer:

To make recipe for 10 requires 35/8 or 4.375 chopped vegetables

Step-by-step explanation:

For 4,   7/4  cups of chopped vegetable are needed

it means for recipe for 4, requires 1.75 chopped vegetable

Therefore 10 recipe will require

10 × 7/4(1.75) cup divided by 4

Mathematically,

10 × 1.75 = 17.5

17.5/4 = 4.375  or 35/8 chopped

HELP XD : Brainliest to best
Math
10 points

Answers

She should use the spinning wheel because its a 2/12 chance, with a wheel its a 1/6 chance.

HELP PLEASE !!! 20 POINTS!
Match each relation with its domain and range.
1. D = {1,2, -1}; R = {3,5,2}
2. {1,2, -1}; R = {1,2, -1}
3. D = {3,5,2}; R = {3,5,2}
4. D = {3,5,2}; R = {1,2, -1}

a. {(1,3), (2,5), (-1,2)}

b. {(3,3), (5,5), (2,2)}

c. {(1,1), (2,2), (-1,-1)}

d. {(3,1), (5,2), (2, -1)}

Answers

[tex]a=1 \\ b=3 \\ c=2 \\ d=4[/tex]

The diameter of a normal front wheel on a bicycle is 24 in. Find the circumference of a circle... DUE TODAY HELPP

Answers

The circumference of a circle with diameter is:
c = πd
c = π(24)
the circumference is about 75.4 inches (I used pi not 3.14)

Carl tells his friend Logan about a new music download service.
Carl says that if you download x collections per month, your monthly cost will be 2(x + 10). Logan says the cost will be 2(x + 5). Who is correct?
A. Only Carl is correct.
B. Only Logan is correct.
C. Both Carl and Logan are correct.
D. Both Carl and Logan are incorrect.

Answers

D. both are incorrect


Answer:

caral corect

Step-by-step explanation:

hes wrong not d

Need help with this one!

Answers

To find DH, we must find HF first. To find HF we can use Pythagorean Theorem.

(1.5)^2 + (1)^2 = HF^2
2.25 + 1 = 3.25
HF = [tex] \sqrt{13} [/tex]/2

Now we can use this length in the next application of Pythagorean Theorem for the length of DH.

(3)^2 + ([tex] \sqrt{13} [/tex]/2)^2 = DH^2
9 + 3.25 = 12.25
DH = 7/2 or 3.5in.

A 6x4 rectangle sits inside a 8x7 rectangle

Answers

Sorry the answer was wrong, but the answer for this is 32
Hope this Helps! 
Sorry

the art teacher has 12 glue sticks find five different ways to show equal groups of glue sticks

Answers

Final answer:

Five ways to divide 12 glue sticks into equal groups are 2 groups of 6, 3 groups of 4, 4 groups of 3, 6 groups of 2, and 12 groups of 1.

Explanation:

The student asked for five different ways to show equal groups of glue sticks when they have 12 glue sticks in total. Here are five ways to make equal groups:

Two groups of 6 glue sticks.Three groups of 4 glue sticks.Four groups of 3 glue sticks.Six groups of 2 glue sticks.Twelve groups of 1 glue stick (though technically each group has the same, there would just be one glue stick per group).

To visualize this, you can draw the groups on paper or use objects to represent the glue sticks and arrange them into the number of groups needed.

Belinda's GPS system worth $400 was stolen out of her car. If Belinda's insurance policy summary is given below, how much will Belinda receive from her insurance company when she files her claim?

Summary

Comprehensive Deductible: $375

Collision Deductible: $550

Premium of $625 for 4 months

Answers

She will receive $25.

They will take her claim and subtract the comprehensive deductible from it (comprehensive is the insurance that covers theft, not collision).

400-375=25

PLEASE EXPLAIN: Is there any job you could have as an adult where you would not need to know any math?

Answers

ELA teacher and Janitor 

1 question 1 brainleast! Figure II is a translation image of Figure I. Write a rule to describe the translation.

Answers

Answer:

The translation is (x, y)--->(x - 1, y + 2).

If my radius is 7.8 maters. What is the circumference and area of my circle

Answers

Circumference = 2 · π · r   or  π · d

Radius = 7.8

7.8 × 2 = 15.6

15.6 × 3.14(π) = 48.984

Circumference = 48.984 rounded = 49

Area = π · r²

Radius = 7.8

7.8 × 7.8 = 60.84

60.84 × 3.14(π) = 191.0376

Area = 191.0376 rounded = 191

Hope this helped☺☺

Find the zeroes in F(x) = 3x^2 + 9x + 12

Answers

F(x) = 3x^2 + 9x + 12,
The zeroes of the function are the value of x when F(x)=0.

 3x²+ 9x + 12 = 0   (divide all equation by 3)
x²+3x+4 =0

a=1, b=3, c=4

[tex]D= b^{2}-4ac=3^{2} -4*1*4=9-16= -4 \ \textless \ 0, so no real solutions. [/tex]

There are no real zeros for this function.


Can someone please help me.

Answers

in the commutative property you just switch things around so

60 + x is the answer
60 + x :))))) your welcome

how to write function in standard form
[tex]f(x) = (2 \times + 1)(x + 1)(x - 1)[/tex]

Answers

Multiply it out.
  f(x) = (2x +1)(x² -1) . . . . . . recognize the factoring of the difference of squares
  f(x) = 2x³ +x² -2x -1
The standard form:
[tex]f(x)=ax^3+bx^2+cx+d[/tex]
Use:[tex](a-b)(a+b)=a^2-b^2\\\\(a+b)(c+d)=ab+ad+bc+bd\\\\a^n\cdot a^m=a^{n+m}[/tex]
[tex]f(x)=(2x+1)(x+1)(x-1)\\\\f(x)=(2x+1)(x^2-1^2)\\\\f(x)=(2x+1)(x^2-1)\\\\f(x)=2x\cdot x^2-2x\cdot1+1\cdotx^2-1\cdot1\\\\f(x)=2x^3-2x+x^2-1\\\\\boxed{f(x)=2x^3+x^2-2x-1}[/tex]

cuanto valen 75 sobres a $2,000 el cien?

Answers

Igual que el último.
Si es "$ 2,000 por 100 sobres, dividiremos 2,000 / 100 y obtendremos 20, luego multiplicaremos 20 por 75 y obtendremos" $ 1500 ".
 
Esta es la ecuación
 $ 2,000 / 100 = 20 x 75 = $ 1,500
 
Espero que esto ayude :-)
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