A 2003 New York Times CBS news poll sampled 523 adults who were planning a vacation during the next 6 months and found that 141 were expecting to travel by airplane. A similar survey question in May 1993 New York Times CBS news poll found that of 477 adults who were planning to take a vacation in the next 6 months, 81 were planning to travel by airplane. State the hypotheses that can be used to determine whether a significant change occurred in the population proportion planning to travel by airplane over 10 years.

Answers

Answer 1

Answer:

The solution can be defined as follows:

Step-by-step explanation:

[tex]H_0 : p_1 = p_2\\\\H_a : p_1 \neq p_2\\[/tex]

Testing the statistics values:

[tex]p_1 = \frac{141}{523} = 0.2696 \\\\ n_1 = 523\\\\p_2 = \frac{81}{477} = 0.1698\\\\ n_2 = 477[/tex]

[tex]p = \frac{(p_1 \times n_1 + p_2 \times n_2)}{(n_1 + n_2)}[/tex]

  [tex]= \frac{(0.2696 \times 523 + 0.1698 \times 477)}{( 523 + 477)}\\\\= \frac{(141.0008 + 80.9946)}{(1000)}\\\\= \frac{(221.99)}{(1000)}\\\\= \frac{(222.0)}{(1000)}\\\\= 0.2220[/tex]

[tex]SE = \sqrt{ p \times ( 1 - p ) \times [ (\frac{1}{n_1}) + (\frac{1}{n_2}) ] }[/tex]

     [tex]= \sqrt{( 0.222 \times (1-0.222) \times((\frac{1}{523}) + (\frac{1}{477})))}\\\\= 0.0263[/tex]

[tex]z = \frac{(p_1 - p_2)}{SE}[/tex]

  [tex]= \frac{( 0.2696 - 0.1698)}{0.0263}\\\\= 3.7947[/tex]

p = 0.0001

It reject all the null hypothesis values


Related Questions

A tree casts a 52 ft. shadow. A boy who is 5.5 ft. tall casts a shadow 6.5 ft. long. How tall is the tree?

Answers

Answer:58.5 that is your answer

4x107 is times as much as 4x103 10^4 10^10 4x10^10 4x10^4

Answers

Answer

4 x 103

Step-by-step explanation:

it is the same as 4 x 103 because they have the same significant figures which is three

Complete the statements to make them true.

A cube root function will (sometime/always/never) have an x-intercept and (never/sometimes/always) have a y-intercept. For the parent cube root function, (only the y-intercept is/only the x-intercept is/both intercepts are) located at (0,0)

Answers

Answer:

Always, always, both intercepts

Step-by-step explanation:

A cube root function will always have an x-intercept and always have a y-intercept. For the parent cube root function, both intercepts are located at (0,0).

A cube root function, represented as f(x) = ∛x, will always have an x-intercept and always have a y-intercept.

An x-intercept is a point where the graph of the function crosses the x-axis, and a y-intercept is a point where the graph crosses the y-axis.

For the cube root function, the x-intercept occurs when the input value x is equal to 0. When x is 0, f(x) = ∛0 = 0, which means the function crosses the x-axis at (0, 0).

Similarly, for the cube root function, the y-intercept also occurs at the point (0, 0). When x is 0, f(x) = ∛0 = 0.

so the function also intersects the y-axis at (0, 0).

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PLZ HELP WILL MARK BRAINLEST

Answers

Answer:

216 ft

Step-by-step explanation:

The equation for area of a cube is [tex]6a^{2}[/tex] where a is the length of one edge.

Plug in the edge length of 6 for this problem

[tex]6(6^{2} )[/tex]=6x36=216

Evaluate. Write your answer as a fraction or while number.... what is 1/4 exponent 3

Answers

Answer:

the awnser to that is 1/64

Step-by-step explanation:

Kyle and Emma pool money to buy packs of trading cards. Bacause Emma contributes more money than Kyle, she keeps 5 cards for every 2 that he keeps. There are 10 cards in each pack and Emma and Kyle want more than 80 cards but less than 130 cards. How many packs should they buy so they have the least number of cards remaining after they share them.?

Help Me To Find The Answer Please !!!!!!!

Answers

Answer:

I think that the pack of card will be 40

If I make $84000 a year, how much is that per month?

Answers

Answer:

$|-7000|

Step-by-step explanation:

divide 84000 by 12 = 7000

Answer:

7,000.00

Step-by-step explanation:

if you have 84,000 and divide it by 12 you would get 7,000.

Please help me on this!!​

Answers

Answer:

TW = ST

Step-by-step explanation:

RS = RW (Given)

RT = RT (reflexive property)

This makes ∆RST congruent to ∆RWT based on the reflexive property of congruence.

Therefore, the third corresponding sides, TW and ST would be congruent to each other.

Thus:

TW = ST


(x sin a + y cos a)^2 + (x cos a – y sin a)^2 = x^2 + y^2

Answers

Answer:

Proved

Step-by-step explanation:

Required

Prove that:

[tex](x\ sin\ a + y\ cos\ a)^2 + (x\ cos\ a - y\ sin\ a)^2 = x^2 + y^2[/tex]

Solving from left to right:

Open brackets

[tex](x\ sin\ a + y\ cos\ a)(x\ sin\ a + y\ cos\ a) + (x\ cos\ a - y\ sin\ a)(x\ cos\ a - y\ sin\ a) = x^2 + y^2[/tex][tex]x^2\ sin^2 a + 2xy\ sin\ a\ cos\ a + y^2\ cos^2 a + x^2\ cos^2 a - 2xy\ sin\ a\ cos\ a + y^2\ sin^2 a = x^2 + y^2[/tex]

Collect Like Terms

[tex]x^2\ sin^2 a + 2xy\ sin\ a\ cos\ a - 2xy\ sin\ a\ cos\ a + y^2\ cos^2 a + x^2\ cos^2 a+ y^2\ sin^2 a = x^2 + y^2[/tex]

[tex]x^2\ sin^2 a + y^2\ cos^2 a + x^2\ cos^2 a+ y^2\ sin^2 a = x^2 + y^2[/tex]

Collect Like Terms

[tex]x^2\ sin^2 a + y^2\ sin^2 a + x^2\ cos^2 a + y^2\ cos^2 a = x^2 + y^2[/tex]

Factorize:

[tex](x^2 + y^2)\ sin^2 a + (x^2 + y^2) cos^2 a = x^2 + y^2[/tex]

Further factorize

[tex](x^2 + y^2)(sin^2 a + cos^2 a) = x^2 + y^2[/tex]

In trigonometry:

[tex]sin^2 a + cos^2 a = 1[/tex]

So, we have:

[tex](x^2 + y^2)(1) = x^2 + y^2[/tex]

[tex]x^2 + y^2 = x^2 + y^2[/tex]

Proved

Michael has a bag with 38 coins in his backpack consisting of nickels, n, and quarters,q. If he has a total of $4.50, how many nickels, n, does he have?

Answers

Answer:

25 Nickles

Step-by-step explanation:

n + q = 38

0.05n + 0.25q = 4.50

n + q = 38

q = 38 - n

0.05n + 0.25q = 4.50

0.05n + 0.25(38 - n) = 4.50

0.05n + 9.5 - 0.25n = 4.50

-0.2n + 9.5 = 4.50

-0.2n = 4.50 - 9.50

-0.2n = -5

-0.2n/0.2 = -5/0.2

-n = -25

-n/-1 = -25

n = 25

Help please telll wheather each statement is true or false

Answers

Answer:

for a its false

for B its true

for C its false

for D it true

Answer:

Look Below

Step-by-step explanation:

A. True

B. False

C. False

D. False

Which equation represents a proportional relationship? y = -2 O y = -5 (x + 1) y= 1 5.1 O y= 5x + 1​

Answers

Answer:

the first one....

Step-by-step explanation:

Thank u....

Which equation represents the slope-intercept form of the line below?
intercept = (0,-5)
slope = -3
A. y = -5x+3
B. y=-5x - 3
C. y=-3x+ 5
D. y = -3x-5

Answers

Answer:

Step-by-step explanation:

c

what is the area of the figure below i ready

Answers

Answer:

43 in^2

Step-by-step explanation:

Answer:

43in^2

Step-by-step explanation:

A computer costs $849.75 and the hard drive is 61.3% of the total cost. What is a reasonable estimate for the cost of the hard drive?
Please help me.

Answers

Answer:

$520.437

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

The larger of two numbers is 3 more than six times the smaller. the difference of the larger number and the smaller number is 8. find the numbers

Answers

Answer:

Step-by-step explanation:

x > y

x = 6y + 3

x-y = 8

(6y+3) - y = 8

5y + 3 = 8

y = 1

x = 6y + 3 = 9

84+9-3+2x76_20=?
i need annwer

Answers

Answer: 222

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Answer:

It Ariana grande but when that person reported me my brainlist got taken away

Step-by-step explanation:

Write the equation in standard form of the line that passes through (3, 1) and has a y-intercept of (0, -2).​
SHOW YOUR WORK

Answers

Answer:

-x + y = - 2

Step-by-step explanation:

Standard Form of the Line

The equation of a line can be written in standard form:

Ax + By = C

To find the values of A, B, and C, we must use the point-slope form:

y - k = m(x - h)

Where m is the slope and (h,k) is one point where the line passes through.

Let's calculate the slope by using the given points (3,1) and (0,-2):

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\displaystyle m=\frac{-2-1}{0-3}=1[/tex]

Now find the equation by using the point (0,-2):

y + 2 = 1(x - 0)

y = x - 2

Subtracting x:

- x + y = - 2

DONT HAVE MANY POINNNNTSSSS
do this correct answer may get brainliest

Answers

Answer:

I think its D

Step-by-step explanation:

Sorry if its wrong

If f(x) = 2x2 + 7, find f(-3) =
What’s the f(-3)

Answers

Answer:

replace the x with -3

Step-by-step explanation:

if you ever have f(x) = 'insert equation' and then it says find f('insert number'), you replace what ever variable is after the first 'f' with the number after the second 'f'. hope this helped!

Answer:
43
Step by step:
f(x)=2x^2+7
f(3)=2(3)^2+7
f(3)=6^2+7
f(3)=36+7
f(3)=43

Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue.

Work out the total fine paid by Amelia. Give your answer in £

Answers

17 x 9 = 153

Step-by-step explanation:

the answer is 153

Solve the following equation for X. X=
-2x – 3.2 – 15 = 20

Answers

Answer:

x = -7

Step-by-step explanation:

-2x - 3x = -5x

so then its -5x - 15

you then add 15 to both sides which gives you -5x = 35

divide -5 from each side to get the answer

-7 = x

x = -7

Step-by-step explanation:

-2x - 3x -15 = 20

-5x = 20 + 15

-5x = 35

x = 35/-5

x = -7

I need help!! I'll report if wrong ​

Answers

Answer:

23

Step-by-step explanation:

2+2+3+4+5+6 = 23

Find the value of x. Round to the nearest tenth

Answers

I suppose the answer would be 40 but I’m not sure

The value of x for the given triangle using Pythagoras' theorem will be 32.24 units.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

In the right-angle triangle with sides 22,16 and a common dotted line.

By Pythagoras' theorem,

Dotted line = √(22² - 16²) = 15.099

In the second right-angle triangle,

Sides are (44 - 16) = 28,15.099,x

By Pythagoras' theorem,

x = √(28² + 15.099²)

x = 32.24

Hence "The value of x for the given triangle using Pythagoras' theorem will be 32.24 units".

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Brayden bought three 4 for 4 McDouble meals from McDonald’s (4 items for $4). What was his total cost after a 7% sales tax? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK!!!)
A. 52.90
B. 1.04
C. 12.84
D. 458
E. 5x-8y+7
F. 25.30

Answers

C. 12.84
4* 3 = 12
Taxes are 84 cent because 7 percent of $12.00 is 84 ct

According to the National Oceanic and Atmospheric Administration, the blue whale is the largest animal on Earth. Blue whales weigh

approximately 3×10^5 pounds. Narwhals, which are also a type of whale, weigh approximately 2×10^3 pounds.

Answers

Answer:

According to the passage, whales weight 300,000 pounds on average. Narwhales weigh 2,000 pounds on average.

Step-by-step explanation:

Since the question is extremely vague, I'll just answer what's the weight of whales and the weight of narwhals.

According to the paragraph, blue whales weigh 3×[tex]10^{5}[/tex] pounds.

This is what we call scientific notation. You could solve it normally, or you could use a faster method.

Scientific notation states that the first number that you see, the three, is the first part of the answer. The exponent on the number of zero's that there is.

That means that the answer to 3×[tex]10^{5}[/tex] you get 300,000.

Let's do the same thing to Narwhales.

2×[tex]10^{3}[/tex] is 2,000.

Manny runs 15 3/4miles each week. Zander runs
5/6
olu
as many miles each week as Manny.
How many miles does Zander run each week?

Answers

Answer: Zander Runs, 13.125 miles. You take the mixed number and change it into an improper fraction. So you get 63/4 then multiply that by 5/6 and get 13.125 miles there is your answer. I hope this helps you

Step-by-step explanation:

lmk if u cant see it correctly but please someone help me out ‍♀️

Answers

Soz to bother ya with an incorrect answer, but we cant see it clearly. try screen snipping?

A conical wine glass has the dimensions shown. if the wine is poured into a cylindrical glass of the same diameter, how high will it rise?​

Answers

Answer:

The bowl of glass 1 is cylindrical. The inside diameter is 5 cm and the inside height is 6 cm.

The bowl of glass 2 is composed of a hemisphere attached to cylinder. The inside diameter of both the hemisphere and the cylinder is 6 cm. The height of the cylinder is 3 cm.

The bowl of glass 3 is an inverted cone. The inside diameter is 6 cm and the inside slant height is 6 cm.

What is 11/12 minus 7/9 equal

Answers

Answer:

5/36

Step-by-step explanation:

We need the least common denominator for 12 and 9.

12 = 2^2 * 3

9 = 3^2

LCD = 2^2 * 3^2 = 4 * 9 = 36

11/12 - 7/9 = 33/36 - 28/36 = 5/36

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