A random sample of 450 vacationers in a huge luxury resort showed that 150 were business executives. We want to create a 95% confidence interval for the proportions of vacationers who are business executives.

a) What is the value at the centre of the 95% confidence interval? Write the symbol and value.

Answers

Answer 1

Answer:

p(s) = 0,33

Step-by-step explanation:

n = 450

p₀ = 150/450       p₀ = 0,33      then    q₀  = 0,67

n*p₀ = 0,33*450  =  150

n*q₀  = 0,67*450 = 301

n*p₀  and n*q₀   more than 10, we can approximate  the binomial to a Normal Distribution Distribution

a) p - p₀  = z(c) * √ (p₀q₀)/n

z(c) =  ??

CI   95 %    then α = 5 %    α = 0,05      α/2 = 0,025

z(c) = 1,96

p  =  p₀  ±  z(c) * √ (p₀q₀)/n

p  = 0,33 ± 1,96 * 0,022

p =  (  0,33 - 0,04 ;  0,33 +  0,04

p = ( 0,29  ; 0,37 )

The value of the center of the confidence Interval is 0,33

p(s) = 0,33


Related Questions

What is the solution to the system of equations?
5-
y=-2x+ 6
y=3x +1/
-5

Answers

Answer:

D. (1,4) this is the correct answer

Faliha runs around a square field of side 70m, while Rameen runs around a rectangular field with length 90m and breadth 60m. Who covers more distance by how much?

Answers

[tex]\huge\sf\green{Answer :- }[/tex]

Given :- Side of the square field = 70m

Length of the rectangular field = 90m

Breadth of the rectangular field = 60m

To Find :-

Perimeter of the square field

Perimeter of the rectangular field

Solution :-

Perimeter of the square = 4 × side

By substituting values,

⇒ 4 × 70m

➥ 280m

Hence, Faliha runs 280m around a Square field

Perimeter of the rectangle = 2( length + Breadth)

By substituting values,

⇒ 2( 90m + 60m )

⇒ 2( 150m)

➥ 300m

Hence, Rameen runs 300m around a rectangular field

By comparing perimeters, Rameen runs more than Faliha

Distance runs more by rameen = Distance covered by rameen - distance covered by faliha

By substituting values,

⇒ 300m - 280m

➠ 20m

Hence, Rameen runs more around a rectangular field by 20m

[tex]\huge\sf\fcolorbox{red}{pink}{ItzDevilGirl}[/tex]

A snail going full speed was taking 1/2 of a minute to move 1/2 of a centimeter at this rate how long would it take the snail to travel a centimeter?

Answers

Answer:

1 minute

Step-by-step explanation:

1/2 cm. times 2=1 cm.

1/2 minute times 2=1 minute

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a wonderful day/afternoon/night!!!

Select Yes or No to indicate whether each value of x is a solution to the given equation.

31=x+1

Answers

Answer:

Yes for:

x = 30

Step-by-step explanation:

Since 31 = x+1

Simplifying, 1 is deducted from 31 to get 30

This gives the two sides of the equation as 30 = x

Therefore, x = 30

This is a simple equation.  It can easily calculate the value of x given the value on the other side of the equation.  Therefore, x is a dependent variable in this system of equation.  And just like every system of equation, the simple equation problem requires that the two sides of the equation are always kept in balance or equilibrium.

A baker has 12 pounds of almonds. She puts them in a bag so that each bag has the same weight. Clare and Tyler drew diagrams and wrote equations to show how they were thinking about 12 ÷ 6. How do you think Clare and Tyler thought about 12 divided 6? Explain what each diagram and each part of each equation (especially the missing number) of might mean in the context of the bags of almonds.

Answers

Answer:

12 is how many pound of almonds there are. 6 is how many bags. 2 is how many almons there are in one bag for Tyler. For Clare is 12 almonds when there are 2 bags and there are 6 almonds in each bag.

Step-by-step explanation:

For Clare there is 12 almonds, there are 2 bags and there are 6 almonds in each bag.

How can we interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

We are given that baker has 12 pounds of almonds.

Since Clare and Tyler drew diagrams and wrote equations to show how they were thinking about 12 ÷ 6.

12 is the pound of almonds there and 6 is the bags.

We conclude that 2 is how many almonds there are in one bag for Tyler.

For Clare is 12 almonds, when there are 2 bags and there are 6 almonds in each bag.

Learn more about division here:

https://brainly.com/question/26411682

#SPJ2

how to do 15 1/2 - 2 1/10 how to do it

Answers

First, you need to make the fractions have the same denominator:

15  1/2        --->       15 + (1/2 x 5)  =   15  5/10

2   1/10       --->       2  1/10

Then you need to subtract them from each other:

  15   5/10                                        

-    2   1/10                   (or)                  15  5/10 - 2 1/10 =   13  4/10

   13   4/10

This gets the answer:   13  4/10

Suppose that a recent poll of American households about pet ownership found that for households with pets, 45% owned a dog, 34% owned a cat, and 10% owned a bird. Suppose that three households are selected randomly and with replacement and the ownership is mutually exclusive. What is the probability that all three randomly selected households own a dog

Answers

Answer: 0.091125

Step-by-step explanation:

Given : P(dog) = 0.45

If 3 households are selected randomly and with replacement and the ownership is mutually exclusive.

Then , probability that all three randomly selected households own a dog = [tex](0.45)^3=0.091125[/tex]

Hence, required probability = 0.091125

The probability that all three randomly selected households own a dog  is

0.091125.

Given that,

Suppose that a recent poll of American households about pet ownership found that for households with pets, 45% owned a dog, 34% owned a cat, and 10% owned a bird.Three households are selected randomly and with replacement and the ownership is mutually exclusive.

Based on the above information, the calculation is as follows:

[tex]= 0.45^3[/tex]

= 0.091125

Learn more: brainly.com/question/17429689


d. You are running a 4500-foot race. How much farther
do you have to go after running 2000 feet?
Expression:

Answers

Answer:

2500 feet

Step-by-step explanation:

4500 minus 2000 = 2500

To determine the average price of hotel rooms in Atlanta, a sample of 49 hotels was selected and the sample mean price of hotel rooms, top enclose y is $120. The population standard deviation was found to be $16. What is the standard error of top enclose y

Answers

Answer:

Standard error of top enclose y = 2.29

Step-by-step explanation:

The formula for Standard error = σ/√n

σ is the population standard deviation = $16

n is random number of samples = 49 hotels

Hence,

Standard error = 16/√49

= 16/7

= 2.2857142857

Approximately = 2.29

Therefore, the Standard error of top enclose y = 2.29

Please help (8th grade math)

Answers

Slope=rise/run

y2-y1/x2-x1

Take any two co-ordinates

2-(-1)/-3-1

2+1/-3-1

3/-4

Outside a home, there is a 10-key keypad with the letters A, B, C, D, E, F, G, H, I, and J that can be used to open the garage if the correct ten-letter code is entered. Each key may only be used once. How many codes are possible? The number of possible codes is:_____

Answers

Answer:

3,628,800 (aka "10!")

Step-by-step explanation:

The first letter in the code can be 10 possible letters.

Since every letter can only be used once, the second letter can only be 9 possible letters.

E.G.: If the first letter is A, the second letter is B-J.

The third letter would be 8 possible letters, than the fourth would be 7, etc.

In math form, figuring out the possible combinations would be written out as so:

10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

An easier way to write this out would be using "10!", which stands for "10 Factorial"

The result of the above equals 3,628,800.

A submarine's position is -325 feet. If it descends 98 feet what is its new position?

Answers

Answer:

Answer is -483

Step-by-step explanation:

hope this helps

(4x)° (5x+18)° 81° solve for x

Answers

Answer: If you see my picture and you will see my answer

Step-by-step explanation: Hope this help

pls help
2688 divided by 96

Answers

Answer: 28

Step-by-step explanation:

Answer: 28

Step-by-step explanation: 2688 / 96 = 28

If 25% of a number is 15, find 5% of that number?

Answers

Answer:

The answer is 3

Step-by-step explanation:

25% of 60 is 15 and 5% of 60 is 3

I NEED HELP!
The area of a rectangle is 12a^2 - a - 6 square inches. The width is 4a - 3inches. What is the length. Show your work.

Answers

Answer:

The length of rectangle is (3a+2).

Find the Total Surface Area of the following triangular prism:

Answers

Answer:

96km^3

Step-by-step explanation:

-(5y-6) + 4(3+5y) if y = 2

Answers

Answer:

48

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms

Step-by-step explanation:

Step 1: Define

-(5y - 6) + 4(3 + 5y)

y = 2

Step 2: Simplify

Distribute:                              -5y + 6 + 12 + 20yCombine like terms (y):         15y + 6 + 12Combine like terms (Z):         15y + 18

Step 3: Evaluate

Substitute in y:                    15(2) + 18Multiply:                               30 + 18Add:                                     48

Help plz:)))I’ll mark u Brainliest

Answers

D, both the points have the same vertices, they make the same angle after all. They are corresponding angles.

What transformation has occurred

Answers

Answer:

Step-by-step explanation:

distributive

A children’s pool contains 17,500 milliliters. How many liters are in the pool. Please help?!?!

Answers

Answer:

17.5 Liters

Step-by-step explanation:

I got it right on a test so I hope this helps you!

Answer:

17.5 l

Step-by-step explanation:

If 7x + 6 = 27, then x = ?

Answers

Answer:

^^^^^^^ you got it right;)

x=3

What is the exponent rule of product of powers?

Answers

Answer:

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. ... Adding the exponents is just a short cut! Power Rule. The "power rule" tells us that to raise a power to a power, just multiply the exponents.

A mother otter spends 1/3 of each day feeding her baby. How many hours does the mother otter spend feeding her baby in 1​ week?

Answers

56

1/3 of 24 (hrs) is 7.999 (rounded to 8)
and multiply 7 (days out of the week) by the hrs

One angle of an isosceles triangle measures 110°. Which other angles could be in that isosceles triangle? Choose all that apply. 55 35 110 75

Answers

Answer:

75 an 35 YEE YEE.

Step-by-step explanation:

im pretty sure

help due in 5 min!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will mark brainliest if correct!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

what do u need help with

Step-by-step explanation:

??

The triangle shown below has an area of 20 units.
Find the missing side.
8.
2
2
units

Answers

X=5
I did the formula 1/2*b*h=area
B=base
H=height
I plugged in 8 for the base 20 for the area and proceeded to solve the equation 1/2*8*h=20 (I then did 1/2*8 and got 4)
4*h=20 (I then divided both sides by 4 and got the answer below this)
h=5
Hope this helps!!

I WILL GIVE BRAINLESIT PLEASE I NEED HELP!!! 5a. When paying for a restaurant order, a customer spent $20.00 for a $17.00 meal. What percent was the tip? Round to the nearest tenth. 5b. When paying for a restaurant order, a customer's total for food was $30.00. What is a 18% tip for that total?

Answers

Answer:

5a. Tip was 17.65%

5b. Total was $35.4

Step-by-step explanation:

5a.

Create the following equation:

17 + 17x = 20

17x = 3

x = 3/17

5b.

Find 18% of 30.

30 x 0.18 = 5.4

Add 5.4 to 30.

30 + 5.4 = 35.4

Write an expression to represent Donovan's total score of one of his words contains six letters

Answers

Question:

Donovan is playing a word game with letter tiles. Players earn 10 points for every word they make with the tiles., plus 5 extra points if a word has 6 or more letters. At the end of the game, 3 points are taken away for each tile not used. Write an expression to represent Donovan's total score if one of his words contains 6 letters.

Answer:

[tex]Total = 10w + 5 - 3t[/tex]

Step-by-step explanation:

Given

[tex]Points = 10[/tex]

[tex]Extra\ Point = 5[/tex]

[tex]Taken\ Away = 3[/tex]

Required

Represent as an expression

Represent the words with w

So, the total points for w words is:

[tex]w\ Points = 10*w[/tex]

[tex]w\ Points = 10w[/tex]

Also, he will earn the extra point because his 1 word contain 6 letters.

So, the new point is:

[tex]New\ Point = w\ Point + 1 * Extra\ Point[/tex]

[tex]New\ Point = 10w + 1 * 5[/tex]

[tex]New\ Point = 10w + 5[/tex]

Lastly, represent the number of tiles remaining with t.

3 points are taken away for 1 tiles left

3*t points will be taken away for t tiles left

So, Donovan total points is:

[tex]Total = 10w + 5 - 3 * t[/tex]

We subtracted because the points are taken away

[tex]Total = 10w + 5 - 3t[/tex]

solve the question below

Answers

Answer:

The answer is below

Step-by-step explanation:

1) A triangle is a polygon with three sides and three angles. There are different types of triangles such as obtuse, scalene, right angle, equilateral and isosceles triangle.

Given that triangle ABC is right angled and AC = 25 cm = hypotenuse and BC = 15 cm. Using Pythagoras:

AC² = BC² + AB²

25² = AB² + 15²

AB² = 25² - 15²

AB² = 400

AB = √400

AB = 20 cm

Using sine rule:

[tex]\frac{sin(B)}{AC}=\frac{sin(A)}{BC}=\frac{sin(C)}{AB}\\\\But\ \angle B= 90^o(right\ angle)\ hence:\\\\ \frac{sin(B)}{AC}=\frac{sin(A)}{BC}\\\\\frac{sin(90)}{25}=\frac{sin(A)}{15}\\\\sin(A)=\frac{sin(90)}{25}*15\\\\sin(A)=0.6\\\\A=sin^{-1}(0.6)\\\\A=36.87^o[/tex]

2)

Using Pythagoras:

hypotenuse² = 8² + 6²

hypotenuse² = 100

hypotenuse = √100

hypotenuse = 10

Using sine rule:

[tex]\frac{sin(x)}{8}=\frac{sin(90)}{10}\\\\sin(x)=\frac{sin(90)}{10}*8\\\\sin(x)=0.8\\\\x=sin^{-1}(0.8)\\\\x=53.13 ^o[/tex]

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