An opinion poll asked a random sample of high school couples in the United States whether they believe they will marry their high school sweetheart. A researcher believes more than 25% of high school couples believe they will marry. Which null and alternative hypotheses should be used to test this claim? (4 points)
H0: p = 0.25, Ha: p > 0.25
H0: p = 0.25, Ha: p < 0.25
H0: p = 0.25, Ha: p ≠ 0.25
H0: p > 0.25, Ha: p = 0.25
H0: p ≠ 0.25, Ha: p > 0.25

Answers

Answer 1

The correct hypothesis for the test made in this problem are given by:

H0: p = 0.25, Ha: p > 0.25.

What are the hypothesis test?

At the null hypothesis, we test if the researcher is not correct, that is, if the proportion is of 25%, hence:

[tex]H_0: p = 0.25[/tex]

At the alternative hypothesis, we test if there is enough evidence for the researcher's claim, that is, if the proportion is greater than 25%, hence:

[tex]H_a: p > 0.25[/tex]

Hence the correct option is:

H0: p = 0.25, Ha: p > 0.25

More can be learned about hypothesis tests at https://brainly.com/question/16313918


Related Questions

A square has a diagonal of length 12. Find the length of each side.

Answers

Answer:

3

Step-by-step explanation:

12÷4=3

Hope this will help you!

25 POINTS. If 16 ounces of chlorine are needed in a 12,500-gallon pool, how many ounces of chlorine are needed in a 5,000-gallon pool?
7.6 ounces
3.2 ounces
6.4 ounces
5.9 ounces

Answers

Answer:

6.4 ounces

Step-by-step explanation:

12500/16= 781.25
(One ounce of chlorine per 781.25)
5000/781.25=6.4

Hence, I think the answer is 6.4 ounces (My apologies if my answer is incorrect)

Which statement best describes the association between variable X and variable Y?




perfect negative association

no association

moderate positive association

strong negative association

Answers

you would need to cross over

PLS HURRY!
What is the lowest value of the range of the function
shown on the graph?
5
4
- od
3
0-2
2-
Ο Ο
1
O 3
-5 -4 -3 -2 -11
1 2 3 4
5
х
-2
-3
-4
+ >

Answers

Answer: -2

Step-by-step explanation:

Q6. NON-CALCULATOR
x + 2/3x +
x-2/2x =3

Answers

in file

Step-by-step explanation:

what is 1875 ÷ 125 (show ur work do long divison)

Answers

answer is 15 explained in image .

How can you use a sequence of transformations to map a preimage to its image?

Answers

Answer:

You can use a sequence of two or more transformations to map a preimage to its image. You can map AABC onto AA"B"C" by a translation 3 units right followed by a 90° clockwise rotation about the origin.

A sequence of transformations to map a preimage to its image is reflection.

It is required to find the transformations to map a preimage to its image.

What are transformations?

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

Given:

Transformation maps the pre-image, DEFG, to the image, D'E'F'G'. The transformation is a reflection.

The line of reflection must go through the center point. Two lines of reflection go through the sides of the figure. Two lines of reflection go through the vertices of the figure. Thus, there are four possible lines that go through the center and are lines of reflections.

Therefore, a sequence of transformations to map a preimage to its image is reflection.

Learn more about transformations  here:

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#SPJ2

If italic sin open parentheses 2 x close parentheses equal italic cos open parentheses x plus 30 degree close parentheses comma what is the value of x?.

Answers

Using complementary angles, it is found that the solution to the trigonometric equation is of x = 20.

What are complementary angles?

Complementary angles are two angles whose measures add to 90º.

If two angles a and b are complementary, we have that the sine of one is the cosine of other, that is:

[tex]\sin{a} = \cos{b}[/tex]

In this problem, the equation is:

[tex]\sin{(2x)} = \cos{(x + 30)}[/tex]

Hence, they are complementary, which means that:

[tex]2x + x + 30 = 90[/tex]

[tex]3x = 60[/tex]

[tex]x = \frac{60}{3}[/tex]

[tex]x = 20[/tex]

The solution to the trigonometric equation is of x = 20.

More can be learned about complementary angles at https://brainly.com/question/11161460

What is the value of x?
Enter your answer in the box.

Answers

Answer:

x = 68 feet is your answer

X=68 feet is your answer to the question


PLEASE HELP!!
The length of a square is 4x-3, find the area in terms of x

Answers

Answer:

16[tex]x^{2}[/tex]−24x+9

Step-by-step explanation:

A=s^2

s=4x-3

A=(4x-3)^2

(a-b)^2=a^2-2ab+b^2

A=16x^2-2(12x)+9

A=16x^2-24x+9

What is the equation of the line that passes through the point (5, -6) and has a
slope of -3/5?

Answers

the answer is in the attachment

a1 = -2 r=-2 Sn=22 Determine the number of terms of n in the series

Answers

A series can be an arithmetic series or geometric series

The series is undefined

How to determine the number of terms?

The given parameters about the geometric series are:

a1 = -2 --- the first term

r=-2 --- the common ratio

Sn=22 --- the sum of n terms

The sum of n terms of a geometric series is represented as:

[tex]S_n = \frac{a(r^n - 1)}{(r-1)}[/tex]

Substitute known values

[tex]22 = \frac{-2((-2)^n -1)}{(-2-1)}[/tex]

This gives

[tex]22 = \frac{-2((-2)^n -1)}{(-3)}[/tex]

Divide both sides by -2

[tex]-11 = \frac{((-2)^n -1)}{(-3)}[/tex]

Multiply both sides by -3

[tex]33 = (-2)^n -1[/tex]

Add 1 to both sides

[tex](-2)^n = 34[/tex]

Take the natural logarithm of both sides

[tex]n\ln(-2) = \ln(34)[/tex]

Solve for n

[tex]n= \frac{\ln(34)}{\ln(-2) }[/tex]

The above number is a complex number.

Hence, the series is undefined

Read more about geometric series at:

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can you guys please help me on my homework? It would mean a lot to me :)

Answers

Answer:

For the top half add all of the numbers of a given set together, then divide by how many numbers there are.

1.) 9

2.) 7

3.) 4

4.) 3

5.) 47.5

6.) 67 1/3

For the bottom half questions, literally the same thing.

7.) 9

8.) 34

9.) 66

10.) -28

11.) -21

12.) 3

Step-by-step explanation:

your welcome for doing you 2 minute homework

You want to know the mean number of hours music students at your school practice each week. At each of three music classes you randomly survey 10 students. Your results are shown. Use all three samples to make one estimate for the mean number of hours music students practice each week. Round to the nearest hundredth if necessary. Hours Practiced Each Week A: 6, 5, 5, 6, 4, 6, 8, 5, 2, 6 B: 0, 6, 6, 5, 4, 5, 6, 3, 4, 9 C: 4, 5, 6, 4, 3, 2, 2, 3, 12, 1 The mean of all the sample data is hours.

Answers

The mean of a dataset is the average of the dataset

The mean of all the sample data is 4.67 hours

How to determine the mean

The datasets are given as:

Week A: 6, 5, 5, 6, 4, 6, 8, 5, 2, 6

Week B: 0, 6, 6, 5, 4, 5, 6, 3, 4, 9

Week C: 4, 5, 6, 4, 3, 2, 2, 3, 12, 1

The mean of a dataset is:

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

Week A

[tex]\bar x_A = \frac{6+ 5+ 5+ 6+ 4+ 6+ 8+ 5+ 2+ 6 }{10}[/tex]

[tex]\bar x_A =5.3[/tex]

Week B

[tex]\bar x_B = \frac{0+ 6+ 6+ 5+ 4+ 5+ 6+ 3+ 4+ 9}{10}[/tex]

[tex]\bar x_B = 4.8[/tex]

Week C:

[tex]\bar x_C = \frac{4+ 5+ 6+ 4+ 3+ 2+ 2+ 3+ 12+ 1}{10}[/tex]

[tex]\bar x_C = 4.2[/tex]

Calculate the mean for the three weeks

[tex]\bar x = \frac{5.3 + 4.8 + 4.2}{3}[/tex]

[tex]\bar x = 4.76[/tex]

Hence, the mean of all the sample data is 4.67 hours

Read more about mean at:

https://brainly.com/question/14532771

Find the perimeter of the figure.

Answers

Answer: The perimeter is 122 m.

Step-by-step explanation: The perimeter equation of a pentagon is P = s + s + s + s + s

You can therefore add all the sides of the pentagon and this will be your perimeter.

HELP NEEDED ASAP I NEED HELLLLPPP

Answers

Answer:

x = 14

Step-by-step explanation:

(4y - 10) + 3x = 180

in other hand: 4y - 10 = 9x + 12

so : (9x + 12) + 3x = 180

9x + 3x = 180 - 12

12x = 168

x = 168/12

x = 14

How many dots are there at 100 minutes?

Answers

Answer:

I need more information.

Step-by-step explanation:

Answer:

401

Step-by-step explanation:

i know the answer cuz i did this before.

The pattern is that for every minute four dots are added diagnally. To find how many doths there are at 100 minutes we will multiply 4 x 100 and then add one for the dot e started at. 4 x 100 = 400 + 1 = 401

At 100 minutes there will be 401 dots.

I am taking a test tomorrow in math and it's on probability, I am having trouble with want that is can someone help and try and explain it to me better then my math teacher?? an example problem, If I have I have 8 M&Ms 2 red, 3 blue and 3 green, and it the change of getting a red M&M? I think it would be 2/8 but I know I probably wrong​

Answers

Answer:

1/4

Step-by-step explanation:

probability is the number of possible solutions over the number of outcomes, so in this example, you would take the 2 possibilities of getting a red M&M, and pot it over all the possible M&Ms you could get, so it is 2/8, which simplifies to 1/4, so you are correct

Thanks for the help!!

Answers

9) pi/3 = 180 /3 = 60⁰

the other angle = 90-60=30⁰

10) 2pi/9 = 360/9 = 40⁰

the other angle = 90+40=130⁰

11) arc length = 2pi * r * (θ/360)

= 2pi * 16 * (270/360)

= 75.4 km

12)arc length = 2pi * r * (θ/360)

3 * 180/4 = 135⁰

135/360 =0.375

2pi * 6 * 0.375 =14.13 in

13) arc length = 2pi * r * (θ/360)

= 9 *2pi *(255/360) =40.05 mi

14)arc length = 2pi * r * (θ/360)

=23.56 mi

Monomials. Pls hurry. I have a test.

(3p^7)^4

Answers

Answer:

81p^28

Step-by-step explanation:

3^4=81

7 times 4 =28

if u dont know the answer then dont say nothing if u do pls help

Answers

answer:

x = 0.875

explanation:

4 ( 5 - 7x ) = 6 - 12x20 - 28x = 6 - 12x20 - 6 = -12x + 28x14 = 16xx = 14/16x = 7/8x = 0.875

help on perimeter pls

Answers

Answer:

59

Step-by-step explanation:

pls don't take my word as a final answer pls if u can do some more research  

2. in the figure, x is an exterior angle to the triangle below. (

a) explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the equation with the steps/work that proves this theorem.

Step 1: __

Step 2: __

Step 3: __

(b) what is the measurement of

Answers

Answer:

< x = 120°

Step-by-step explanation

Step 1:

According to angle sum property,

y + 50 + 70 = 180

Step 2:

x and y are linear pairs, forming a supplementary angle.

Therefore,

x + y = 180

Step 3:

Since they are both equal to 180, equate the values

y + 50 + 70 = x + y

x = 70 + 50

x = 120

What is the derivative of Cos(x) when x is measured in degrees?.

Answers

Answer:

- sinx

Step-by-step explanation:

This is a standard derivative and applies to angles in degrees or radians.

[tex]\frac{d}{dx}[/tex] (cosx ) = - sinx

Answer:

[tex]\huge\purple{- \frac{\pi}{180}\sin \: \bigg( \frac{\pi x}{180}\bigg)}[/tex]

Step-by-step explanation:

[tex]x \degree = \frac{\pi x}{180} \\ \\ \implies \: \cos \: (x \degree) = \cos \:\bigg( \frac{\pi x}{180}\bigg) \\ \\ \implies \: \frac{d}{dx} \cos \: (x \degree) = \frac{d}{dx} \: \cos \: \bigg( \frac{\pi x}{180}\bigg) \\ \\ = - \sin \: \bigg( \frac{\pi x}{180}\bigg)\frac{d}{dx} \bigg( \frac{\pi x}{180}\bigg) \\ \\ = - \sin \: \bigg( \frac{\pi x}{180}\bigg) \bigg(\frac{\pi}{180}\bigg) \\ \\ \huge \red{= - \frac{\pi}{180}\sin \: \bigg( \frac{\pi x}{180}\bigg)}[/tex]

Which equation is linear

Answers

Answer:

Step-by-step explanation:

How to identify a linear line:

has form: y = mx + c.A linear equation graphed looks like a straight line Has constant slope value.the degree of a linear function is one

Based on our previous information:

The answer is the first choice since the equation holds the form y = mx + c and has a degree of one and has a constant slope value.

Hope that helps!

Which choice is a linear function?
Explain

Please Help

Answers

Answer:

Option C

Step-by-step explanation:

Given the following question:

Using the process of elimination, we can find the answer:

It's not option A, because in order for a table to be a linear function the change of x, and the change of y have to be constant. In this case our change in y goes through -2, to -1. Which means option A is not a linear function.

It's not option A because again in order for a table to be a linear function the change of x and the change of y have to be constant. In this case our change of x is constant but our change in y isn't.

It's not option D because in order to have a linear function, you have to be able to rewrite the function into slope intercept (y = mx + b) in this case we only have one real number which is 12, while having our x, and y variable. Which means option D isn't a function.

Which leaves option C or "4x + 3y = 12" which is your answer, because it can be rewritten in slope intercept form.

Hope this helps.

you have deposited $400 in a simple interest savings account which place 3% interest annually.

Find the amount of interest for 0, 5, 10, 15, and 20 years.

Add the interest to $400 and fill in the table round the amounts to the nearest dollar.

Answers

Answer:

0 years: $0

5 years: $460

10 years: $520

15 years: $580

20 years: $640

Step-by-step explanation:

Multiply: –c2(3c – 2) Apply the distributive property. Multiply. –c2(3c) (–c2)(–2) c3 c2.

Answers

The distributive property is applied to multiply the expression [tex]\rm -c^2 (3c - 2)[/tex]. Then the result is [tex]\rm -3c^3 + 2c^2[/tex].

What is distributive property?

The distributive property is to make something easier to do or understand and to make something less complicated.

The expression is [tex]\rm -c^2 (3c - 2)[/tex].

On multiply, we have

[tex]\rm -c^2 *(3c) -c^2 (- 2) \\\\-3c^3 + 2c^2[/tex]

The distributive property is applied to multiply the expression [tex]\rm -c^2 (3c - 2)[/tex]. Then the result is [tex]\rm -3c^3 + 2c^2[/tex].

More about the distributive property link is given below.

https://brainly.com/question/13130806

Answer:

The distributive property is applied to multiply the expression . Then the result is .

What is distributive property?

The distributive property is to make something easier to do or understand and to make something less complicated.

The expression is .

On multiply, we have

The distributive property is applied to multiply the expression . Then the result is .

More about the distributive property link is given below.

brainly.com/question/13130806

Step-by-step explanation:

When 16 is added to a number, it gave Rony the number 12. What will be the number that was added to 16?​

Answers

Answer:

- 4

Step-by-step explanation:

let the number be n , then

16 + n = 12 ( subtract 16 from both sides )

n = - 4

Answer:

[tex]\displaystyle -4[/tex]

Step-by-step explanation:

Use Deduction to figure this out:

[tex]\displaystyle \boxed{-4} = -16 + 12[/tex]

I am joyous to assist you at any time.

consider the figures on the coordinate plane

Answers

Answer:

B.Figures A and C

Step-by-step explanation:

because if you trust god god will give enlightenment and also your smart and Beautifull.

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