A manufacturer of cell phone screens is concerned because 12 percent of the screens manufactured using a previous process were rejected at the final inspection and could not be sold. A new process is introduced that is intended to reduce the proportion of rejected screens. After the process has been in place for several months a random sample of 100 screens is selected and inspected. Of the 100 screens 6 are rejected. What are the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected?
A. H0:p=0.12Ha:p<0.12 A
B. H0:p=0.12Ha:p>0.12 B
C. H0:p=0.06Ha:p<0.06 C
D. H0:pˆ=0.06Ha:pˆ>0.06 D
E. H0:pˆ=0.12Ha:pˆ<0.12 E

Answers

Answer 1

Answer: A.

[tex]H_0:p=0.12\\\\H_a:p<0.12[/tex]

Step-by-step explanation:

Null hypothesis[tex](H_0)[/tex] : A statement describing population parameters as per the objective of the study. It usually takes "≤,≥,=" signs.  

Alternative hypothesis [tex](H_a)[/tex]: A statement describing population parameters as per the objective of the study. It usually takes ">, <, ≠" signs.

Let p be the proportion of screens that will be rejected.

12 percent of the screens manufactured using a previous process were rejected at the final inspection.

(i.e. p= 0.12)

Objective of the study = whether the new process reduces the population proportion of screens that will be rejected

i.e. p< 0.12

So, the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected:

[tex]H_0:p=0.12\\\\H_a:p<0.12[/tex]


Related Questions

select all explanation that prove triangle ABC is congruent to triangle A'B'C

Answers

Answer:

AB = A'B'

BC = B'C'

AC = A'C'

angle ABC = angle A'B'C'

angle CAB = angle C'A'B'

angle CBA = angle C'A'B'

Step-by-step explanation:

use different axomes to show relation,

Answer: Reflect ABC across the vertical line passing through C

Step-by-step explanation:

The cuboid and the triangular prism have the same volume. Find the value of x.

Answers

Answer:

x = 25

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Al ( A is the area of the triangular face and l is its length )

A = [tex]\frac{1}{2}[/tex] bh = 0.5 × 5 × 8 = 20 cm² , then

V = 20 × 20 = 400 cm³

The volume of the cuboid is calculated as

V = lbh = 3.2 × 5 × x = 16x

Given V = 400 cm³ , then

16x = 400 ( divide both sides by 16 )

x = 25

which step in the construction of coping a lin segment ensures that the new line segment has the same length as the original line segment

Answers

Step-by-step explanation:

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Here are the steps I think you probably will go through.

1. Draw a line that is longer than the segment but shorter than the width of the page.

1a. Make sure this line is  at least 1/2 inch from the left hand side.  

2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.

3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.

The key step either two or three.The steps to copy a line segment are given below:

1. Lets start with a line segment AB that we have to copy.

2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.

3. Now, put the compass tip on point A of the line segment AB.

4. Spread the compass up to point B, so as the compass width is equal to length of AB.

5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.

6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.

7. Draw a line from C to D.

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

5(4)-4/2 ??

Some know how to respond

Answers

Answer:

19 1/2??? Read explanation

Step-by-step explanation:

I am not sure entirely by your formatting when you put it into Brainly but since 5x4=20 and 20-1/2 = 19 1/2, the answer would be 19 1/2 but I am not sure due to the format.

Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest"). And if it’s not correct, I am sorry for wasting your time, and good luck finding the correct answer :)  

Answer:

18

20 -2 = 18

Step-by-step explanation:

Lauren eats 1/8 of a chocolate cake before supper, and then eats another 1/8 after supper.
a) What fraction of the cake did she eat altogether? ______
b) What fraction of the cake was left? __________ 2 marks

Answers

Answer:

she ate 2/8ths and left 6/8ths

which of the following is true?

Answers

Answer:

the right ones are a c and d maybe

Step-by-step explanation:

these are probably wrong but I need my points so figure it out.

Which inequality is true?

A) |−6| > −6

B) |12| < |−5|
C) |−8| < 8
D) 7 > |−10|

Answers

Answer:

A) |−6| > −6

Step-by-step explanation:

Absolute value means take the non negative number

A) |−6| > −6 = 6> -6 true  

B) |12| < |−5| 12 < 5 false

C) |−8| < 8 8 < 8 false

D) 7 > |−10|  7 > 10 false

how do you find the area of a rectangle​

Answers

Answer:

You multiply length by width.

Step-by-step explanation:

To find the area of a rectangle you multiply length and width together.

For example if a rectangle has length 2 and width 3 the area of the rectangle would be 6, since 2 * 3 is 6.

Answer:area =length x width

Step-by-step explanation:

Confused on how to solve this problem, please help and offer a step by step explanation

Answers

Answer:

7x+5=180

7x=175

x=25

Hope This Helps!!!

I need help on this

A quarter circles fits exactly into a square of side 4 cm, as shown.

Determine the area of the shaded region, giving your answer correct to 3 significant figures.

Answers

Side of square = Radius of circle = 4cm

Area of full circle

= πr²

= (22/7) × 4cm × 4cm

= 352/7 cm²

Area of the quarter of circle

= Area of full circle/4

= (352/7)/4

= (352/7) × (1/4)

= 352/28

= 12.571 {approximately}

I need help does the table represent a function

Answers

Answer:

b. no, because one x-value corrseponds to two different y-values

Step-by-step explanation:

for a set/table to be a function, the each x-value must correspond to exactly one value, not more, therefore the set of points in this table do not represent a function as the x-value 6 corresponds to more than one number.

Pls help me with this!

Answers

Answer:

Your answer would be X ≥ -3

Step-by-step explanation:

Anyone knows how to do "Using Congruence Postulates," I need help with an equation, can someone show me step by step.

Answers

It would be D. You already have an angle and a side congruency, so you would just need another angle. To prove congruency, they have to all be in a line, so if you are going from corner to corner of the shape, they would all be in line, and you wouldn’t skip any. I’ll attach a picture to hopefully give you a visual as to what I am talking about.. I hope this helps :)

What is the period of the graph of…

Answers

The 2 doubles the amplitude (the height of the curve)
The +3 translates the whole curve up 3 units
The period tells you the space between repetitions of the curve.
When x = 0, y = 2 x 1 + 3 = 5
This next happens when pi/3 x = 2pi so x would = 6
The period of the curve = 6

A skateboard that is originally $107 is on sale for 90% off!! How much does the skateboard cost?

Answers

90% off means is is selling for 10% of the original price.

Multiply original price by 10%

107 x 0.01 = $10.70

It is selling for $10.70

Consider the equations:
y=|x-1| and y=3x+2
What is the approximate solution of this system of equations?

Answers

Answer:

ans: (-3/2, -5/2), (-1/2, -5/4)

Step-by-step explanation:

here;

y =| x - 1| can be any of form I.e

y = x - 1 say equation••••1

OR

y = -( x - 1) say equation •••2

our next equation is,

y = 3x + 2 say equation ••••3

substituting 'y' from equation 1 and 2 to 3

we got

x - 1 = 3x + 2 -( x - 1) = 3x +2

- 3 = 2x -1 = 4x

hence

x= -3/2 and -1/4

substituting x in equation 3 we got

y = -5/2 and -5/4

OR ,

can be solve by iterative method which is quite long

Answer:

(-0.2,1.2)substitute 3x+2 for y and set them equal to eachother then plug in x for y

Step-by-step explanation:

Assume the following: 1) the scattergraph intersects the Y axis at $200; 2) the estimated line on the scattergraph increases by $10 for every 1 unit of volume increase. What is total cost if volume is 20 units

Answers

Answer:

The total cost is:$400

Step-by-step explanation:

Given

[tex]x \to units[/tex]

[tex]y \to cost[/tex]

[tex](x,y) = (0,200)[/tex] --- when the graph intersects the y-axis

[tex]m = 10[/tex] -- the rate

Required

y when x = 20

First, we determine the equation of the plot using:

[tex]y = mx + c[/tex]

Substitute 10 for m

[tex]y = 10x + c[/tex]

Next, solve for c.

Substitute [tex](x,y) = (0,200)[/tex]

[tex]200 = 10*0+c[/tex]

[tex]200 = 0+c[/tex]

[tex]c = 200[/tex]

So:

[tex]y = 10x + c[/tex]

[tex]y =10x + 200[/tex]

When x = 20

[tex]y =10*20 + 200[/tex]

[tex]y =200 + 200[/tex]

[tex]y = 400[/tex]

Which statement is true regarding the graphed functions?

Answers

Answer:

f(2) = 0 and g(2) = 0

f(2) = g(2) TRUE

b) f(0) = 2 and g(0) = -2

f(0) = g(0) FALSE

c) f(2) = 0 and g(0) = -2

f(2) = g(0) FALSE

d) f(0) = 2 and g(2) = 0

f(0) = g(2) FALSE

Can someone help me plz

Answers

Step-by-step explanation:

the answer is in the image above

what is the cofficient in the expression 8x^2+1?

Answers

Answer:

8

Step-by-step explanation:

Answer is 8

pls help I'll mark brainliest ​

Answers

Answer:

305°

Step-by-step explanation:

The angle between the north line at L and the line connecting PL is

125° (75° + 50° ) ← alternate angle between parallel lines

Then

bearing of P from L is 180° + 125° = 305°

How many eighths does it take to equal 1/4 model

Answers

Answer:

2 eighths.

Step-by-step explanation:

Answer:

2 eighths

Step-by-step explanation:

1/8 + 1/8 = 2/8 or 1/4

x2+ y2 − 8x + 12y + 27 = 0

Using the standard form of the equation in question 1, what are the length of the radius and the coordinates of the center for this particular circle? Watch your signs for the variables h and k.

Answers

Central (4,–6)

Radius 5

Answer:

this was the answer from edmentum

Step-by-step explanation:

Please answer number 13 only​

Answers

Answer:

44%

Step-by-step explanation:

5 ½=5.5

12½=12.5

5.5/12.5=0.44

0.44×100=44%

Answer:

Answer:

44%

Step-by-step explanation:

5 ½=5.5

12½=12.5

5.5/12.5=0.44

0.44×100=44%

Step-by-step explanation:

Jade has seven cards. Each card is labeled with a letter. A B C D E F G H J Jade picks one of her cards at random. Find the probability that the card she picks is a) labelled F, b) labelled with a letter in her name JADE c) labelled with a letter that has at least one line of symmetry

Answers

Answer:

(a) [tex]\frac{1}{7}[/tex]

(b) [tex]\frac{4}{7}[/tex]

(c) [tex]\frac{5}{7}[/tex]

Step-by-step explanation:

Probability (P) of an event is the likelihood that the event will occur. It is given by;

P = number of favourable outcomes ÷ total number of events in the sample space.

Given letters of cards:

A B C D E F G H J

∴ Total number of events in sample space is actually the number of cards which is 7

If a card is picked at random;

(a) the probability P(F), that it is labelled F is given by;

P(F) = number of favourable outcomes ÷ total number of events in the sample space.

The number of favourable outcomes for picking an F = 1 since there is only one card labelled with F.

∴ P(F) = 1 ÷ 7

=> P(F) = [tex]\frac{1}{7}[/tex]

(b) the probability P(N), that it is labelled with a letter in her name JADE is given by;

P(N) = P(J) + P(A) + P(D) + P(E)

Where;

P(J) = Probability that it is labelled J

P(A) = Probability that it is labelled A

P(D) = Probability that it is labelled D

P(E) = Probability that it is labelled E

P(J) = [tex]\frac{1}{7}[/tex]

P(A) = [tex]\frac{1}{7}[/tex]

P(D) = [tex]\frac{1}{7}[/tex]

P(E) = [tex]\frac{1}{7}[/tex]

∴ P(N) = [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex]

∴ P(N) = [tex]\frac{4}{7}[/tex]

(c) the probability P(S), that it is labelled with a letter that has at least one line of symmetry is;

P(S) = P(A) + P(B) + P(C) + P(D) + P(E) + P(H)

Where;

P(A) = Probability that it is labelled A

P(B) = Probability that it is labelled B

P(C) = Probability that it is labelled C

P(D) = Probability that it is labelled D

P(E) = Probability that it is labelled E

P(H) = Probability that it is labelled H

Cards with letters A, B, C, D, E and H are selected because these letters have at least one line of symmetry. A line of symmetry is a line that cuts an object into two identical halves. Letters A, B, C, D, E and H can each be cut into two identical halves.

P(A) = [tex]\frac{1}{7}[/tex]

P(B) = [tex]\frac{1}{7}[/tex]

P(C) = [tex]\frac{1}{7}[/tex]

P(D) = [tex]\frac{1}{7}[/tex]

P(E) = [tex]\frac{1}{7}[/tex]

P(H) = [tex]\frac{1}{7}[/tex]

∴ P(S) = [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex]

∴ P(S) = [tex]\frac{5}{7}[/tex]

In the ordered pair below, which value represents the input to a function?
(2, 3)

Answers

Answer:

2

Step-by-step explanation:

In an order pair

(x,y)

The first number is the input and the second number is the output

(2,3) 2 is the input and 3 is the output

PLEASE THIS PICTURES ANSWER PLEASE 10 POINTS ............................
NO WRONG ANSWER REPORT......​

Answers

Hey buddy I am here to help!

1. 8*5*2 = 40*2= 80cm2

3. 10*25*60 = 250*60 = 15000m2

2. 12*12*12 = 36cm2

4. 3*5*18 = 90*4 = 360m2

Hope my answer helps!

Plz mark me brainliest!

● Question 3. answer is wrong in last multiply so their answer is 1728m^3...

In this image their in question (1,2,3,4) answer...

I hope you understand...

Mark me as brainliest....

Thanks

Find the distance between the two points in simplest radical form.
(-8, -2) and (-6,2)

Answers

Answer:  [tex]2\sqrt{5}\\\\[/tex]

To get that answer, we apply the distance formula

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-8-(-6))^2 + (-2-2)^2}\\\\d = \sqrt{(-8+6)^2 + (-2-2)^2}\\\\d = \sqrt{(-2)^2 + (-4)^2}\\\\d = \sqrt{4 + 16}\\\\d = \sqrt{20}\\\\d = \sqrt{4*5}\\\\d = \sqrt{4}*\sqrt{5}\\\\d = 2\sqrt{5}\\\\d \approx 4.472136\\\\[/tex]

As an alternative, you could plot the two points on the same xy grid, and then form a right triangle. Afterward, apply the pythagorean theorem and you should get the same result as shown above.

Eve's sequence decreases by 2 hundreths each time. she picks a number to start with. what is the difference betwen her 3rd and 6th number?

Answers

Answer: 0.06

Step-by-step explanation:

Given

Eve's number decreases by 2 hundredths each time i.e. [tex]0.02[/tex]

Difference between 3rd and 4 th number is [tex]0.02[/tex], while the difference between 3 rd and 5 th is double the previous i.e. [tex]2\times 0.02=0.04[/tex]

So, the the difference between the 3 rd and 6 th number is three time the difference

[tex]\Rightarrow 3\times 0.02\\\Rightarrow 0.06[/tex]

what is the definition of risk ?

Answers

Answer: DOING SOMETHING THAT HAS THE POSOBILITY OF IT BEING BAD

Step-by-step explanation: BECAUSE

Answer:

D

Step-by-step explanation:

just got it right on edge

Other Questions
the benefits of USA in experience of having minerals and the disadvantages of having minerals Best way to avoid bacterial contamination Which of the following is a problem in the health care system of the United States?To many doctors in rural areasFraud so on Who wanted a limited or constitutional monarchy?the Conservativesthe Jacobinsthe Churchthe king Complete the synthetic division to find the quotient of 3x^3-25x^2+12x-32 and x-8 How does the final sentence of the article contribute to the meaning of the text: "We bet nobody's gotten into a fight while waiting for that oyster party" Can someone please write something for me I dont understand and I dont wanna use one people already used :) 4. Social responsibility is an area of business with issues thatA. are easy to resolve.B. change constantly in response to society's demands.C. stay constant due to consistent societal demands.D. change occasionally in response to society's demands. Can someone help me? Which of the following verifies that triangle YXZ is similar to triangle QPR? PLEASE HELP I WILL GIVE BRAINLIEST AND 25 POINTS!!!The following function represents the value of a truck, in dollars, after x years:f(x) = 29,000(0.88)xWhat does 0.88 represent? The decrease in the value of the truck, which is 12% The present value of the truck The value of the truck after x years The decrease in the value of the truck, which is 88% what are activities done during a protest? the ratio between length and breadth of a rectangle is 7 : 5 find its length and breadth if it its perimeter is 60 m 1.What is the central theme of the text? History A Jury of her Peers.A. If someone has resilience, they can face any difficult situation.B. Women are often underappreciated and underestimated.C. Love and friendship are important but unnecessary parts of life.D. Death is difficult to face and grief can cause people a great deal of stress. the answer of what is matter An unknown number y is 10 more than an unknown number x. The number y is also x less than 3. The equations to find x and y are shownbelow.y = x + 10y=-x+3Which of the followine statements is a correct step to find x and y? A add the equations to eliminate xB multiply the equations to eliminate y C write the points where the groans of the equation intersect the x axis D write the points where the graphs equation intersect the y axis Essay: (210-250 words)The heat in the cell was unbearable. I tried not to yawn as I struggled to stay awake, notdaring to lose myself to sleep....Write an essay starting with the above phrase. Elisa is confident and strong, yet somewhat restless in her current situation. Evaluate (xy) ^-6 if x = 3 and y = -1.A. 3B. -1/729 C. 1/73D. 1/729 EFB122x1357502x -1512GHIC3DDetermine the value of x. What does CPI compare? A) Money to People C) Dollars to Euros B) Wal-Mart to Target D) Purchasing power at diffrerent times uri ng tempo na mabagal at malumanay