Before an election, combining the results of 12,625 polls with 14,491,635 samples in total, it shows that 6,413,959 responders (44.3%) say they will vote for the first candidate and 6,134,272 responders (42.3%) say they will vote for the other candidate. Assume a binomial model Binomial(n,p) of the polls for the first and second candidates, where p is the percentage of the votes to the first candidate and n is the total number of votes to the first candidate or the second candidate. Suppose we are interested in whether the first candidate wins more than half of the votes to the first and second candidates:
H0: p = 0.5 v.s. H1: p > 0.5
(a) Compute the test statistics of the generalized likelihood ratio test. Is this test a uniformly most powerful test?
(b) Use Wilks' theorem to compute the critical value of the generalized likelihood ratio test under α = 0.05 level. Make a decision.
(c) Another test has test statistics p - po/√po(1 - po)/n, where po = 0.5. Compute the p-value of this test using the central limit theorem and make a decision. Assume the significance level α = 0.05.
(d) If the second candidate wins the election, comment on possible problems in this statistical analysis.

Answer:

-6

Step-by-step explanation:

The equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The y intercept is the value when x = 0

The y value is -6 when the x value is 0

y = -4x+ (-6)

Answer:

y=mx+b

Step-by-step explanation:

m=4/3×-6

I think this is the answer

Answer:

2000*pi

Step-by-step explanation:

Shaded area= Area of bigger circle - Area of smaller circle

Shaded area= pi*(60)^2-pi*(40)^2=(60+40)(60-40)*pi=2000*pi

Answer:

50.26 ft^2

Step-by-step explanation:

Area=pi*r^2

Area=pi*(4)^2=pi*16=50.26

Answer:

x > 43

Step-by-step explanation:

Open circle at 43, which means it is not equal to 43

Line goes to the right, which means x is greater than

x > 43

Answer:

B

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Pick two points on the line

(0,2) and (2,0)

Using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 0-2)/(2-0)

    = -2/2

  = -1

Answer:

-1

Step-by-step explanation:

Use two points on the line to find the slope, using rise over run.

We can use the points (0, 2) and (2, 0).

From the first point to the other, the y value decreases by 2 and the x value increases by 2.

Use rise (change in y value) over run (change in x value):

-2 / 2

= -1

So, the slope is -1.

Answer:

C.4/17

Step-by-step explanation:

A proper fraction has a numerator that is less than the denominator

A. 11/10  11>10  improper

B. 15/2  15>2  improper

C.4/17  4 < 17 proper

D.6/6  6=6  improper

Answer:

C. 4/17

Explanation:

The numerator is smaller than the denominator.

Answer:

4 miles, the cab travelled 4 miles.

Step-by-step explanation:

12.50 - 4.50 = 8

8/2.00 = 4

Answer:

Step-by-step explanation:

4x - 13 = x +  5           Add 13 to both sides

4x = x + 18                 Subtract x

3x = 18                       Divide by 3

x = 6

Step-by-step explanation:

[tex] \frac{2}{4} + 5 \times 36 + 2 \frac{6}{3} [/tex]

[tex] = \frac{1}{2} + 180 + 2 \times \frac{2}{1} [/tex]

[tex] = \frac{1}{2} + 180 + 4[/tex]

[tex] = \frac{1 + 360 + 8}{2} [/tex]

[tex] = \frac{369}{2} [/tex]

[tex] = 184 \frac{1}{2} \: or \: 184.5(ans)[/tex]

To solve this question, it is needed to know that the sum of the digits of numbers which are multiples of 9 greater than 1, add to 9, that is:

Multiples of 9:

9*1 = 9

9*2 = 18 -> 1 + 8 = 9

9*3 = 27 -> 2 + 7 = 9

9*4 = 36 -> 3 + 6 = 9

9*5 = 45 -> 4 + 5 = 9

Find a number:

Thus, there are 4 possible options for the desired 2-digit number less than 50:

18, 27, 36, 45.

For more, you can check https://brainly.com/question/24294485

Answer:

Mean; 762,143

Median; 800,000

Step-by-step explanation:

Mean;

Add all of the numbers together, then divide by how many there are.

There are seven home prices in total, add them together then divide by 7.

5,335,000 divided by 7 = 762,142.85714285; simplified to 762,143.

Median;

Organize the numbers from least to greatest

455,000, 780,000, 795,000, 800,000, 810,000, 840,000, 855,000

Then find the number in the middle

800,000

Answer:

Central Angle

Step-by-step explanation:

Obtuse Angle is over 90 but under 180.

Central angle is like a acute angle.

According to the given information, we build the equation for the cost. After we build the equation, the equation that relates these measures is:

[tex]C = 0.99 + xy + 0.2z[/tex]

Cost:

0.3 kilograms of tomatoes, at 3.30 dollars per kilogram.

Thus, the cost starts at:

[tex]C = 0.3*3.3 = 0.99[/tex]

y kilograms of cucumbers, at x dollars per kilogram.

Considering this, the cost will now be of:

[tex]C = 0.99 + xy[/tex]

0.2 kilograms of carrots, at z dollars per kilogram:

Now, we have to consider this for the cost, so:

[tex]C = 0.99 + xy + 0.2z[/tex]

A similar example is given at https://brainly.com/question/14544759

Answer:

Balance -

Step-by-step explanation:

Long tail is most likely to a fast and wanna light animal or to jump and climb long tail needs.Buy in case of elephants short tail

Answer:

Option B, cotangent is the reciprocal of tangent

That option is correct

Step-by-step explanation:

puhhh ! that way of typing can be misleading.

let me sum up what equations I think the problem definition specified :

1)

6x + 2y = 82

x - y = 3

2)

y = 4x - 1

x + y = 9

3)

4x + 3y = 17

y = 5 - x

solving 1)

x - y = 3 => x = y + 3

putting this into the first equation

6×(y+3) + 2y = 82

6y + 18 + 2y = 82

8y +18 = 82

8y = 64

y = 8

x = y + 3 = 8 + 3 = 11

solving 2)

using the first equation in the second equation

x + (4x - 1) = 9

5x - 1 = 9

5x = 10

x = 2

y = 4x - 1 = 4×2 - 1 = 8 - 1 = 7

solving 3)

using the second equation in the first equation

4x + 3×(5 - x) = 17

4x + 15 - 3x = 17

x + 15 = 17

x = 2

y = 5 - x = 5 - 2 = 3

Answer:

2019

Step-by-step explanation:

I am assuming you mean graduated from high school. If that's the case it's 2019. Sophmore year means 9th grade. which is 2019!

Answer:

Sasha can buy 6 bottles of soda.

Step-by-step explanation:

6x2=18

3x2=6

Answer:

C

Step-by-step explanation:

The equation that represents the table is y=4x+1

Answer:

opposites

Step-by-step explanation:

9+-9 = 0

When they add to zero they are opposites

Answer:

Step-by-step explanation:

9 and -9 are examples of opposite integers

Answer:

B

Step-by-step explanation:

Given arc FG then the central angle is the angle at the centre subtended by FG , that is

central angle = ∠ FQG

The central angle is B i.e ∠FQG

A central angle exists an angle whose vertex stands present at the center of a circle created by the two radii as the sides of the angle.

In Mathematics, an “arc” exists as a smooth curve joining two endpoints. In general, an arc exists one of the portions of a circle. It is essentially a part of the circumference of a circle. Arc exists as a part of a curve. An arc can be a portion of some other curved constitutions like an ellipse but mostly guides to a circle.

The angle substended by the arc would be ∠FQG.

To learn more about  central angle refer to:

https://brainly.com/question/14205090

#SPJ2

Answer:

itditsktxjtcv6tgcxufh-&#€#€($*:'₹€$*^'ditx_*^,tsitsitxmvditxitsitsjfxkhcoucuofoydoy

9514 1404 393

Answer:

  x = 5.0

Step-by-step explanation:

The tangent relation is helpful:

  Tan = Opposite/Adjacent

  tan(50°) = x/4.2

  x = 4.2·tan(50°) ≈ 5.0054 . . . . multiply by 4.2

  x ≈ 5.0

Answer:

23.6

Step-by-step explanation:

cos38=x/30

x= 30cos38= 23.6 (nearest tenth)

Answer:

(a). 5√6

Step-by-step explanation:

[tex] \sqrt{10} \times \sqrt{15} \\ = \sqrt{150} \\ = \sqrt{25 \times 6} \\ = 5 \sqrt{6} [/tex]

Answer:

Not sure but I think it's 3.75

Answer:

ok so you take m time h then like you count to h like a b c d e f g h and tgen with that you count 1 2 3 4 5 6 7 till h than you multiply that with 3