A researcher is conducting a study of charitable donations by surveying a simple random sample of households in a certain city. The researcher wants to determine whether there is convincing statistical evidence that more than 50 percent of households in the city gave a charitable donation in the past year. Let p represent the proportion of all households in the city that gave a charitable donation in the past year. Which of the following are appropriate hypotheses for the researcher?

a. H_o : p=0.5 and H_a:p>0.5
b. H_o:p=0.5 and H_a:p≠0.5
c. H_o:p=0.5 and H_a:p<0.5
d. H_o:p>0.5 and H_a:p≠0.5
e. H_o:p>0.5 and H_a:p=0.5

Answers

Answer 1

Answer: a. [tex]H_o : p=0.5[/tex] and [tex]H_a:p>0.5[/tex].

Step-by-step explanation:

Let p represent the proportion of all households in the city that gave a charitable donation in the past year.

Reseracher wants to check whether p > 50% or p > 0.5

Since Alternative hypothesis contains ">, <, ≠" and null hypothesis is the opposite of alternative hypothesis.

So Null hypothesis: [tex]H_o: p=0.5[/tex]

Alternative hypothesis: [tex]H_a:p>0.5[/tex]

The correct option is a. [tex]H_o : p=0.5[/tex] and [tex]H_a:p>0.5[/tex].


Related Questions

2 1/4 + 3/4 =
276x40​

Answers

2 1/4 + 3/4 = 3
276 x 40 = 11040

The dock foreman gets to work each day at 5:30 A.M. He goes to lunch at 11:01 A.M. and gets back to work at noon. He goes home for the day at 3:20 P.M.

How many hours does the foreman work in a 5−day work week?

Answers

Answer:

The foreman works approximately 44 hours in a 5−day workweek.

Step-by-step explanation:

In one day the dock foreman works the following hours:

[tex]t = (11 h + 01 min*\frac{1 h}{60 min}) - (5 h + 30 min*\frac{1 h}{60 min}) + 15 h + 20 min*\frac{1 h}{60 min} - 12 h = 8.85 h = 8 h + 51 min[/tex]

Now, in 1 5-day work week the man works:

[tex]T = 5*t = 5*8.85 h = 44.25 h = 44 h + 15 min[/tex]

Therefore, the foreman works approximately 44 hours in a 5−day workweek.

I hope it helps you!        

Writing an Equation in Slope-Intercept Form

Determine the equation for the given line in
slope-intercept form.

Answers

Answer:y=Mx+b

Step-by-step explanation:

Annie plans to purchase a car that will cost her $16,000. After putting down a 20% down payment, how much will Annie need to finance?

Answers

Convert 20% to a decimal by dividing by 100, = 0.20

16,000 x 0.20 = 3,200 deposit she paid. Subtract that from the total cost
16,000- 3,200= 12,800

Your school club is selling hotdogs at a basketball game. The supplies cost $120. You charge $2.50 for each hotdog. Write a function you can use for finding the profit y for selling x number of hotdogs.

Answers

-120 + 2.50x

you lose 120 dollars on supplies, and every hotdog you sell you gain 2.50

AAAHHHHH!!!!!!! SOMEONE HELP!!!!

Answers

Answer:

43.10

Step-by-step explanation:

Je parle une ciart mwoa

Rick buys 18 apples for $13. How much would it cost to buy 24 apples?

Answers

Answer:

$33.23

Step-by-step explanation:

If 18 apples cost $13, this means that each apple costs 1.38461538. To find the cost of 24 apples, multiply that decimal number by 24. You will get 33.2307692308. You can round this to 33.23.

Pl help It’s for a grade I’ll give you a Brainly

Answers

Answer:

8. d

9. c

Step-by-step explanation:

I can give you an explanation if u want

Find the smaller angle (in degrees) between the hands of a clock at 3:25.

Answers

Answer:

uhh

Step-by-step explanation:

I'm not sure what It is

Having trouble with this problem

Answers

Answer:

True

Step-by-step explanation:

Find the midpoint of the line segment with the endpoints (-6,-8) and (-2,-6)

Answers

Answer: (-4,-7)

Step-by-step explanation:

The Midpiont formale is in the picture and add -6 with -2 and add -8 with -6.

-6 + -2 = -8

-8+-6=-14

-8 divided 2 = -4

-14 divided 2 = -7

(-4,-7)

10. John Francis saved P4 on Monday, P16 on Tuesday, P64 on Wednesday and so on. If the
pattern continues, how much will he save on Friday?​

Answers

Answer:

On Friday it saved 1,024

Step-by-step explanation:

The computation of the amount saved on friday is given below:

GIven that

On Monday it saved P4

On Tuesday it saved P16 (P4 × 4)

On Wednesday it saved P64 (P16 × 4)

On Thursday it saved 256 (P64 × 4)

On Friday it saved 1,024 (P256 × 4)

The weight of water is 62 1/2 lb per cubic foot. Water that weighs 350 lb will fill how many cubic​ feet?

Answers

The question is worded incorrectly.  It should say the DENSITY of water is 62 1/2 lbs per cubic foot.  Divide the weight by the density to get volume.

(150 lbs) / (62.5 lbs/ft3) = ? ft3 (the two 3's are exponents. so it'd be ft then an exponent of 3.)

X-4y=16
5x+4y=8 Math math math

Answers

Answer:

(4,-3)

Step-by-step explanation:

x-4y=16

5x+4y=8

find x for one equation

x=4y+16

Now plug this into the other equation

5(4y+16)+4y=8

20y+80+4y=8

24y=-72

y=-3

x=4

Answer:

y=-3

x=4

Step-by-step explanation:

What additional information would be enough to prove
the triangles are similar? Choose all that apply:

A. ZH ZE

B. EF bisects LHFG

C.ZG = ZH

Answers

Ahh this is a good hard question hopefully someone comes along and helps you out with it. Goodluck my friend!

What is the y-intercept of the graph of f ?

Answers

Answer:

(0,4)

Step-by-step explanation:

y intercept is where the line crosses the y axis

Answer:

4

Step-by-step explanation:

It costs $125.00 to rent the swimming pool, plus $4.50 per person. What would be the total cost to rent the swimming pool for 30 people?

Answers

Answer: Hi, I think your answer is gonna be 260 dollars! Have a good day!

Step-by-step explanation:

5
.
In rhombus QRST diagonals RT and QS are drawn. If m then which of the following is the measure of a 90
b 76
C 38
d 48


geometry help !

Answers

Complete Question: In Rhombus QRST, diagonals RT and QS are drawn. If m<TSR = 104°, then which of the following is the measure of <SRT?

*the diagram of the rhombus is in the attachment below

Answer:

m<SRT = 38°

Step-by-step explanation:

A rhombus has 4 equal sides. Also, diagonals of a rhombus bisect each other Therefore:

∆RST form the rhombus given is an isosceles triangle with two equal lengths, ST and SR, and two equal base angles, <T and <R.

Given that <TSR = 104°, thus,

m<SRT = (180 - 104)/2 = 76/2

m<SRT = 38°

3/2+b=7/4 need help now

Answers

[tex]Answer:\\\\frac{3}{2} + b = \frac{7}{4}\\\\b = \frac{7}{4} - \frac{3}{2}\\\\b = \frac{7}{4} - \frac{6}{4} \\\\b = \frac{7-6}{4}\\\\b = \frac{1}{4}\\\\Hope \ it \ helps![/tex]

find the value of 2xy+3yz-xyz, when x=2, y=-2, z=4​

Answers

Answer:

-16

Step-by-step explanation:

2xy + 3yz - xyz

x = 2, y = -2, z = 4

First, plug these values into the equation.

2(2)(-2) + 3(-2)(4) - (2)(-2)(4) = ?

Next, multiply the parentheses.

(-8) + (-24) - (-16) = ?

When you add a negative, you are actually subtracting the number. And when you subtract a negative, you are actually adding the number. Apply this to the equation.

-8 - 24 + 16 = ?

Now, simplify from left to right.

-32 + 16

-16

Your answer is -16.

Hope this helps!

Fill in the missing number.
6 x 4 =(
x 4) + (3 x 4)

Answers

Answer:

6x4= 24

x4)+(3x4)=12

bsnskzifkznsnaksifi

The complete sentence is 6 x 4 =( 3 x 4) + (3 x 4)

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

6 x 4 =( x 4) + (3 x 4)

Now, split 6 as two equal quantities

6 = 3+ 3

So, 6 x 4 =24

( 3x 4) + (3 x 4)

= 12+ 12

= 24

Hence, LHS = RHS.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ2

On Monday morning, Mr. Descartes asked his Algebra II students whether they had gone to the carnival in town over the weekend.

"I did," said Kristen. "I went on the Teacups ride twice, the rollercoaster twice, and the Spinning Vortex once. I had a lot of fun for only $20."

"I went on those rides, too!" exclaimed Jorge. "Just once each on the Teacups and rollercoaster, but three times on the Spinning Vortex, all for $25."

"I did five Teacup rides," said Lakesha. "And two rollercoaster rides, and one Spinning Vortex. I spent $29."

Marc listed off the same rides. "Three Teacups for me, plus two rollercoasters, plus two rides on the Spinning Vortex, all for – "

"You don't need to say," interrupted Mr. Descartes. "I know how much you spent."

How much are the rides? How much did Marc spend

Answers

Answer:

Cost of one Teacup =  $3

Cost of one Roller coaster =  $4

Cost of one Spinning Vortex = $6

Marc spent = 3x + 2y + 2z = $29

Step-by-step explanation:

Let

Cost of one Teacup = x

Cost of one Roller coaster = y

Cost of one Spinning Vortex = z

In Kristen case -

2x + 2y + z = $20

In Jorge case -

x + y + 3z = $25

In Lakesha case -

5x + 2y + z = $29

In Marc case -

3x + 2y + 2z = ?

Now, we have

2x + 2y + z = $20       ......(1)

x + y + 3z = $25         ........(2)

5x + 2y + z = $29      .........(3)

Now,

Subtract equation (1) from equation (3), we get

5x + 2y + z - ( 2x + 2y + z ) = $29 - 20

⇒5x + 2y + z - 2x - 2y - z  = $9

⇒3x = $9

⇒x = $3

Now,

Multiply be 2 in equation (2) , we get

2x + 2y + 6z = $50        ........(4)

Now,

Subtract equation (1) from equation (4), we get

2x + 2y + 6z - ( 2x + 2y + z ) = $50 - 20

⇒2x + 2y + 6z - 2x - 2y - z  = $30

⇒5z = $30

⇒z = $6

Now,

Put the values of x and z in equation (2) , we get

$3 + y + 3($6) = $25

⇒$3 + y + $18 = $25

⇒y + $21 = $25

⇒y = $25 - 21

⇒y = $4

∴ we get

Cost of one Teacup = x = $3

Cost of one Roller coaster = y = $4

Cost of one Spinning Vortex = z = $6

Marc spent = 3x + 2y + 2z = 3($3) + 2($4) + 2($6) = $9 + $8 + $12 = $29

Please help will give brainliest.

Answers

Answer:

D

Step-by-step explanation:

a is false since x could be 0.

b is easy to check, just plug numbers in, and we can see that it's false(you would get 0+0=1 and -0-0=-1 once plugged in)

c is also easy to check, just plot the line or simplify the first equation. since (2x+2y)/2=4/2 is also x+y=2, the second equation is also x+y=2, so it must have infinitely many solutions.

d must be true due to process of elimination but let's check to make sure.

7y=14x, divide both sides by 7 to get y=2x and since they're the same equation it must mean that they have infinitly many solutions and we can see that it is correct

Will mark brainliest!! Look at picture for question please

which expression is equivalent to 6Vg^5, if g> 0

Answers

Step-by-step explanation:

Option d is he correct answer.

.....

Option D is correct. Since 6 is the index, it automatically becomes the denominator for a fraction. And since 5 is the exponent, it becomes the numerator. (G is the radicand).

So to simplify this equation, it becomes
g5/6 (5/6 in exponential form.)

Al simplificar la fraccion 150/600 a su mínima expresión se obtiene 15/6

Answers

Answer:

cierto

Step-by-step explanation:

15 POINTS! GIVE REAL ANSWERS PLEASE. HELP WOULD BE MUCH APPRECIATED THANKS!
Which algebraic expression does this model represent?

*IMAGE LINKED*

4x+16

4(x+3)

x+34

-4(x+3)​

Answers

Answer:

It would be 4(X + 3)

Step-by-step explanation:

There are 4 Xs and 12 ones, so the equation is 4X + 12 or 4(X + 3).

PLSSSSSSS HELP ME WITH THESE FOUR QUESTIONS (•‿•)








Answers

Q1- Right 3 Down 9
Q2- Left 9 Down 9
Q3- Up 6
Q4- Up 18

Answer:

1. C

2. A

3. C

4. A

Step-by-step explanation:

Find the area of this circle. Use
3.14 for a
68 mm
The area of the circle is about mm?
(Round to the nearest hundredth as needed.)

Answers

Answer:

(3.14)(68)^2=14519.40mm^2      if 68mm is the radius

Step-by-step explanation:

What is 5% of 345? ......

Answers

Answer:

17.25

Step-by-step explanation:

5/100 x 345 = 1725/100 = 17.25

All the fractions that are equivalent to 4/5 A. 6/10 B. 8/10 C. 8/15 D. 10/15 E. 12/15

Answers

Answer:

B.8/10,E.12/15

Step-by-step explanation:

4/5×2=8/10

4/5×3=12/15

Other Questions
some refer to the caucasus region as_______________. A. western europe B. little Europe C. little Asia D. eurasia which of the following has the same meaning as quanto cuesta What is the measure of the angle C? Aque fraccin es equivalente 40 What is the structure of a virus? plz help me I WILL give Brainliest what is the name of these 4 compound in isomers rachel is 1.35 m tall her friend pita is 179 cm tall who is taller and by how much give your answer in centimeters The cost of airpods is $135 The sales tax in Pasco county is 7%. What is the total cost of the airpods? Which three achievements can be attributed to the Harappan civilization in the Indus RiverValley? * Spanish work please help pls help. 6th grade math. Prompt one in a well written response discuss whether the author, Stevenson, presents Dr.Jekyll as a Dynamic/Round character or a static/Flat characterPrompt two: in a well written response discuss whether the author,Stevenson, presents Me.Hyde as a Dynamic/Round character or a Static/Flat character Se liga nesse aplicativo! So milhes de alunos se ajudando na lio de casa. https://brainly.app.link/qpzV02MawO 37 + 1/7 (-1/2) = ?? Three shops A, B and C sold cars in January, Februaryand March. The total number of cars sold in this three-Three shops A.respectively. Both A and C sold the same number ofcars in January. The number of cars sold by A and C inMarch was also the same. A sold 120 cars in Februarywhich was half of the number of cars sold by C inMarch. Both A and B sold exactly the same number ofcars in February. The ratio of the number of cars sold byB in January and March was 1:4.What was the ratio of the total number of cars sold inJanuary, February and March by the three shops?month period by A, B and C were 460, 320 and 500 How do adult drones differ from adult worker ants?a. Drones have wings; workers don'tb. Drones have eight legs; workers have sixc. Drones lack exoskeletons; workers have themd. Drones have simple eyes; workers have compoundeyes What is the sum of 7/12+4/5?A)13/60B)11/17C)1 23/60D)1 11/17 The perimeter of a rectangular plot of land is 250 meters if the. Length of one side of the plot is 40 meters what is the area of the plot in square meters? When assessing a woman in the first stage of labor, which clinical finding will alert the nurse that uterine contractions are effective?a. Dilation of the cervixb. Descent of the fetus to -2 stationc. Rupture of the amniotic membranesd. Increase in bloody show