When testing a claim that the majority of adult Americans are against the death penalty for a person convicted of murder, a random sample of 491 adults is obtained, and 27% of them are against the death penalty (based on data from a Gallup poll). Find the P-value. Round to 4 decimals when necessary.

Answers

Answer 1

Using the z-distribution, it is found that the p-value is of 1.

At the null hypothesis, it is tested that the majority is not against the death penalty, that is:

[tex]H_0: p \neq 0.5[/tex]

At the alternative hypothesis, it is tested that the majority is against the death penalty, that is:

[tex]H_1: p > 0.5[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

In this problem, the parameters are: [tex]\overline{p} = 0.27, p = 0.5, n = 491[/tex].

Then, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.27 - 0.5}{\sqrt{\frac{0.5(0.5)}{491}}}[/tex]

[tex]z = -10.19[/tex]

Using a z-distribution calculator, for a right-tailed test, as we are testing if the proportion is greater than a value, the p-value is of 1.

A similar problem is given at https://brainly.com/question/16313918


Related Questions

find the equation of the line.

y=[ ]x+[ ]

Answers

Answer:

y = -2x + 5

Step-by-step explanation:

Slope = -2

m = slope

y-intercept = 5

b = 5

y = mx + b

y = -2x + 5

A bowl contains 675 sweets which are coloured either red, blue or green.
The ratio of red sweets to blue sweets is 3:
The ratio of blue sweets to green sweets is 4 : 5
Calculate the number of blue sweets that are in the bowl.

Answers

The number of blue sweets that are in the bowl is 252

Answer:

252 blue sweets

Step-by-step explanation:

red : blue

3 : 7 ( x4 )

12 : 28

blue : green

4 : 5 ( x7 )

28 : 35

red : blue : green

12 : 28 : 35

12 + 28 + 35 = 75

Blue Sweets:

675 x 28/75 = 252


Find the area of the polygon.

Answers

Answer

the area is 26 cm

Step-by-step explanation:

for the first part well call it box C box c is 2 cm by 1 cm the area of that box is 2 because 2 x 1 =2

for box B which is 2 cm by 6 cm because you add the 3 on the bottom to the 3 on the top so box B = 12

for box A  it is 3 by 4 so that would be 12

you add the results together 12+12+2=26cm

Geometry - Isosceles & Equilateral triangles

Solve for x *

Answers

Answer:

7

Step-by-step explanation:

all sides in equilateral triangle are equal so side to the bottom is 56ft

base sides same in isosceles triangle so 56 = 8x

8x=56

56/8 is 7

What percentage is 19 marks
out of 50?

Answers

Answer:

38%

Step-by-step explanation:

Answer:

the answer is 38%

Step-by-step explanation:

multiply 19 by 2 because 50 is half of 100

Determina el lado faltante de cada triángulo presentado emplea dos cifras decimales

Answers

Listamos los lados faltantes a continuación:

[tex]c \approx \sqrt{34}\,cm[/tex] [tex]z \approx 5.098\,cm[/tex] [tex]p = 5\,cm[/tex] [tex]l\approx 3.680\,cm[/tex]

El teorema de Pitágoras establece que la medida de la hipotenusa ([tex]c[/tex]), en centímetros, de un triángulo rectángulo es igual a la raíz cuadrada de la suma de los cuadrados de los catetos ([tex]a,b[/tex]), en centímetros. La fórmula se encuentra expresada a continuación:

[tex]c^{2} = a^{2}+b^{2}[/tex] (1)

La hipotenusa es el lado de mayor longitud del triángulo, los catetos son los dos lados restantes.

A continuación, procedemos a resolver cada caso:

1) [tex]a = 3\,cm[/tex], [tex]b = 5\,cm[/tex]

[tex]c = \sqrt{a^{2}+b^{2}}[/tex]

[tex]c = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}}[/tex]

[tex]c \approx \sqrt{34}\,cm[/tex]

2) [tex]x = 6.8\,cm[/tex], [tex]y = 4.5\,cm[/tex]

[tex]z = \sqrt{x^{2}-y^{2}}[/tex]

[tex]z = \sqrt{(6.8\,cm)^{2}-(4.5\,cm)^{2}}[/tex]

[tex]z \approx 5.098\,cm[/tex]

3) [tex]n = 13\,cm[/tex], [tex]m = 12\,cm[/tex]

[tex]p = \sqrt{n^{2}-m^{2}}[/tex]

[tex]p = \sqrt{(13\,cm)^{2}-(12\,cm)^{2}}[/tex]

[tex]p = 5\,cm[/tex]

4) [tex]m = 2.7\,cm[/tex], [tex]s = 2.5\,cm[/tex]

[tex]l = \sqrt{m^{2}+s^{2}}[/tex]

[tex]l = \sqrt{(2.7\,cm)^{2}+(2.5\,cm)^{2}}[/tex]

[tex]l\approx 3.680\,cm[/tex]

Para aprender más sobre el teorema de Pitágoras, invitamos cordialmente a ver esta pregunta: https://brainly.com/question/343682

or Question 5 i:
Harry is planning a holiday for 4 people for 7 days.
Here are the costs for the holiday for each person.
Travel
£150
Hotel
Spending money
£50 for each day
£250
Work out the total cost of the holiday for 4 people for 7 days.

Answers

Answer:

the costs for the holiday for each person

£250

Step-by-step explanation:

So ,

£250 × 7 = 1,750

Nia needs 15 pieces of string each ½ of a inch long. She cut a 6-inch piece of string into pieces that are each ½ of an inch long. How many more pieces of string does she need?

Answers

2 times plus 1 would be the answer I think

The other option is 32

Answers

Here, CD and DE are equal.Therefore, by the problemCD = DEor, 7a + 11 = 10a + 2or, 10a - 7a = 11 - 2or, 3a = 9or, a = 3Therefore, CD = 7a + 11 = 7(3) + 11 = 21 + 11 = 32

Answer:

32

Hope you could get an idea from here.

Doubt clarification - use comment section.

what’s the correct answer?

Answers

Answer:

the triangle above is an isoceles triangle

therefore the base angles are equal

So we have:

X + X + 38= 180

2x = 180-38

2x = 142

X = 71°

Answer:

71

Step-by-step explanation:

The two line of length 21 defines that the base angles are equal.

so therefore.

38 degrees + x degrees + x degrees = 180

38 + 2x = 180

2x = 180 - 32

2x = 142

x = 71.

I hope this helps like it and comment if you have more questions or spotted a mistake . thanks

In mrs kuliks class there are 20 female students and 8 male students what is the percent of male students

Answers

Answer:

About 29%

Step-by-step explanation:

What is:
9e−7=7e−11
Show Work

Answers

Answer: -2

Step-by-step explanation:

9e-7=7e-11

-7e         -7e

2e-7=-11

   +7  +7

2e=-4

/2   /2

e=-2

represent 3 1/2 pictorically. pls fast​

Answers

Answer:

You are filipino or not I need filipino women

Help PLZZ
Find the slope of the line through each pair of points
1.(10,-9),(-4,-14)
2.(16,6),(-4,-14)
3.(9,-4),(5,-20)
4.(-13,20),(-18,20)

Answers

[tex]\huge \rm༆ Answer ༄[/tex]

To find slope we use the formula ~

[tex] \sf \dfrac{y2 - y1}{x2 - x1} [/tex]

[ Ratio of the difference of y - coordinates of the points and the difference of x - coordinates of the points ]

let's find the slope of line passing through the given points ~

1. (10 , -9) and (-4 , -14)

[tex] \sf \dfrac{ - 9 - ( - 14)}{10 - ( - 4)} [/tex]

[tex] \sf \dfrac{ - 9 + 14}{10 + 4} [/tex]

[tex] \sf \dfrac{5}{14} [/tex]2. (16 , 6) and (-4 , -14)

[tex] \sf \dfrac{6 - ( - 14)}{16 - ( - 4)}[/tex]

[tex] \sf \dfrac{6 + 14}{16 + 4} [/tex]

[tex] \sf \dfrac{20}{20}[/tex]

[tex] \sf1[/tex]3. (9 , -4) and (5 , -20)

[tex] \sf \dfrac{ - 4 - ( - 20)}{9 - 5}[/tex]

[tex] \sf \dfrac{ - 4 + 20}{4} [/tex]

[tex] \sf \dfrac{16}{4} [/tex]

[tex] \sf4[/tex]

4. (-13 , 20) and (-18 , 20)

[tex] \sf \dfrac{20 - 20}{ - 13 - ( - 18)} [/tex]

[tex] \sf\dfrac{0}{ - 13 + 18} [/tex]

[tex]0[/tex]

I hope it helps ~

___________________________________

[tex]꧁ \: \: \large \rm{kaul} \: ꧂[/tex]

(repost) Please help! It involves inequalities! Also please include a number line.

Answers

Answer:

  -5 ≤ x

Step-by-step explanation:

2(x -3) -5x ≤ 9 . . . . . given

2x -6 -5x ≤ 9 . . . . . . eliminate parentheses

-3x -6 ≤ 9 . . . . . . . . combine like terms

-6 ≤ 9 +3x . . . . . . . add 3x

-15 ≤ 3x . . . . . . . . subtract 9

-5 ≤ x . . . . . . . . . divide by 3

__

The point x=-5 is included in the solution set, so there is a sold dot at that point. The rest of the solution set is values of x that are greater than that value, so the number line is shaded to the right of that point. Your number line should show an arrow at the right end of the graph to indicate it extends that direction indefinitely. (My graphing program doesn't draw arrows easily.)

_____

Additional comment

Perhaps the most straightforward way to solve this would have been to add 6 instead of 3x. That would give ...

  -3x ≤ 15

Then dividing by -3 would give x. That operation would reverse the inequality symbol (because the divisor is negative). Then you would have ...

  x ≥ -5

Either way works. We judge it to be less confusing when we don't have to change the direction of the inequality symbol.

the system of equations are y=-2x=3 and y=x is graphed what is the soultions to the system of equations

Answers

Answer:

y=1

Step-by-step explanation:

Answer:

x=-1, y=-1

Step-by-step explanation:

Because -2x-3 and x are both equal to y, we set them equal to each other and solve for x:

-2x-3=x

-3=3x

-1=x

x=-1

So, because y=x, then y=-1 as well

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.
What are all of the x-intercepts of the continuous function in the table?

(0, 8)
(–4, 0)
(–4, 0), (4, 0)
(–4, 0), (0, 8), (4, 0)

Answers

384 +37289 x 638203

then you will get the calculation

Answer:

its option c i believe

Calculate the measure of arc AC if the measure of arc CD is 170 degrees and arc AB is 80 and AB||CD.

Answers

Answer:

  AC = 55°

Step-by-step explanation:

In this geometry, arcs AC and BD have the same measure. The sum of the parts of arc CD will total the measure of CD.

  AC + AB + BD = CD

  2AC +80 = 170

  AC = 110/2 = 55

The measure of arc AC is 55°.

Answer:

AC = 55°

Step-by-step explanation:

because the measure is part of CD. Hope this helps!

Complete the two column proof

Answers

Answer:

Step-by-step explanation:

a. addition

b. division

c. given

Will Give Brainliest

Answers

Answer:

x = 19

Step-by-step explanation:

3x - 1 = 6 (x - 1)  

I hope this helps!

Opposite angles are equal

[tex]\\ \sf\longmapsto 3x-3=6(x-10)[/tex]

[tex]\\ \sf\longmapsto 3x-3=6x-60[/tex]

[tex]\\ \sf\longmapsto 3x-6x=-60+3[/tex]

[tex]\\ \sf\longmapsto -3x=-57[/tex]

[tex]\\ \sf\longmapsto x=19[/tex]

The Ride-It Store rents bicycles. The cost is $8.50 for 1 hour, $13.65 for 2 hours, &18.80 for 3 hours, and &23.95 for 4 hours. If the pattern continues, how much will it cost Nate to rent a bike for 6 hours?

Answers

so for each hour the price increases $5.15
so 4 hours = 23.95
5 hours = 23.95 + 5.15 = 29.10
6 hours = 29.10 + 5.15 = 34.25

567898765456787654567876567876+9999999999999999999999999999999

Answers

Answer:

1.05678988E31

Step-by-step explanation:

- 8i - 7i

A. - 15i
B. 15i
C.-15 l^ 2
D. 15i ^ 2

Answers

A. - 15i is your answer

Drake is playing basketball. He knows that he can score one, two, or three-point shots in a game, and he has already scored 5 points this game. He wants to score at least 20 points before the game ends.

Answers

Answer: He needs to splash the threes

Step-by-step explanation: He dosent have the vertical so he just needs to have a splashy 3 pointer

If you roll two fair six-sided dice what is the probability that the sum is:

Answers

Answer: If you roll two fair six-sided dice, the probability that the sum is 5 or lower is 5/18.

Explanation: Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by x

Let ‘x’ be the number on the first dice.

‘Y’ be the number on second dice.

We have to find the probability that the sum is 5 or lower i.e. (x + y) <= 5.

Total number of possible results from two six-sided dice is 6 × 6 = 36.

The possible results that the sum is lower than 4 is (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2) and (4,1).

Number of possible results for the sum is 5 or lower is 10.

The probability that the sum is 5 or lower = 10/36

=5/18

Therefore, the probability that the sum is 5 or lower is 5/18.

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

The answer you are looking for is C. 2/3

Step-by-step explanation:

because if it was 4/6 reduce to make 2/3.

hope this helps! please give brainlyist :D

Answer:

2:3

Step-by-step explanation:

did it

D= 9/5C + 32, If the temperature is -15 degrees Celsius, what is the temperature in Fahrenheit degrees

Answers

Answer:

5

Step-by-step explanation:

plug in the numbers (-15x9/5)+35 PEMDAS.

What is f(5) for the function f(x) = 7x + 1

Answers

7 (5) + 1 = 35 + 1 = 36

So, f(5) = 36

It is 7*5 + 1
= 35 + 1
= 36

Please help I’ll love u forever

Answers

Answer:

3. non linear

4. weak

Step-by-step explanation:

3. it doesn't go in a line

4. it's a weak association.

WILL GIVE BRAINLIEST

Answers

what’s the question?

Answer:

1 ) the slope is -2/1  y-intersept is 7    therefore y=-2/1x+7  pt's (1,3) (-3,5)

2 ) the slope is 1/1  y-intersept is -4     therefore y=1/1x-4   pt's  (-3,1)(-1,3)

Step-by-step explanation:

i hope this helps if you need more or still dont understand plz let me know! <3

y =mx(+or-)b

m,slope ,rise over run .

b,y-inersept  the point that of witch it crosses the y axis.

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