The manager of the dairy section of a large supermarket chose a random sample of 250 egg cartons and found that 30 cartons had at least one broken egg. let p denote the proportion of all cartons which have at least one broken egg. Find a point estimate for p and also construct a 90% confidence interval for p.

Answers

Answer 1

Answer:

The point estimate for p is of 0.12.

The 90% confidence interval for p is 0.0862 < p < 0.1538.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The manager of the dairy section of a large supermarket chose a random sample of 250 egg cartons and found that 30 cartons had at least one broken egg.

This means that [tex]n = 250, \pi = \frac{30}{250} = 0.12[/tex]

The point estimate for p is of 0.12.

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 - 1.645\sqrt{\frac{0.12*0.88}{250}} = 0.0862[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 + 1.645\sqrt{\frac{0.12*0.88}{250}} = 0.1538[/tex]

The 90% confidence interval for p is 0.0862 < p < 0.1538.


Related Questions

Help me fast 50 points!!!!!!!!

Answers

Answer:

30

Step-by-step explanation:

There are 14 data points on the plot

The median is the middle value, which is between the 7th and 8th data points

Since it is even, we find the average of the 7th and 8th data points

Add the 7th and 8Th data points values and divide by 2

( 30+30)/2 = 60/2 = 30

The median is 30

Answer:

30

Step-by-step explanation:

Middle numbers are 30 and 30 so you add them and then divide by two:

[tex]\frac{30 + 30}{2}[/tex] = [tex]\frac{60}{2}[/tex]= 30

What is the first term in the sequence for which d = -2 and a7 = 3?

A. -6
B. 12
C. 15
D. -12

Answers

Answer:

First term is 15

Step-by-step explanation:

Given data:

[tex]a_{7} =3\\d=-2[/tex]

Now,

[tex]a+6d=3.....(1)\\a_{n} =a+(n-1)d\\\\\\From equation (1)\\a+6(-2)=3\\a-12=3\\a=12+3\\a=15[/tex]

Therefore first term a =15

Correct option is (c)

You have 3 five dollar bills and 4 ten dollar bills in your pocket. If you pull out 2 bills, what is the probability they are both tens?

Answers

Answer: I think its 4%

Step-by-step explanation: 3+4=7 7/2=3.5

Answer:

1/14

Step-by-step explanation:

What is the slope of the line that contains the points (-1,-1) and (3, 15)?
O A.
1
4
B. 4
O C. -
4
D. -4

Answers

Answer:

its b

Step-by-step explanation:

Which sequence is an example of an arithmetic sequence? A) –8, –4, –2, –1, . . . B) –4, –2, 0, 2, 4, . . . C) –1, –7, –49, –343, . . . D) 2, 4, 8, 16, 32, . . .

i dont have the membership.

Answers

Answer:

Answer- D)2,4,8,16,32, . . .

Answer:

b. -4,-2,0,2,4,...

Step-by-step explanation:

What is the solution of the equation, 8y = 4?

A. y = 1/2

B. y = 2

c. y = 12

D. y = 32​

Answers

Answer: A, which is y = 1/2

Step-by-step explanation: To find the value of y, you would need to divide both of the sides by 8. This makes it so that 8y turns into just y. After you do this, you would find an answer of y = 1/2. Hope this was helpful! :)

Answer:

y = 1/2

Step-by-step explanation:

8y = 4

Divide each side by 8

8y/8 = 4/8

y = 1/2

The
Slope
a line that goes
through the points (r, 6 ) and (4,2
is 4 find r​

Answers

R= 5
(2-6). -4
—— = ——-
(4-r). (This has to be -1 for the answer to be 4)
4-5=-1
So r=5

Graph the line.
y=3x

Answers

Answer:

desmos(dot)com/calculator/gv8jsoui4w

Step-by-step explanation:

Create a table of appropriate x values e.g. x = 2 and substitute into y=3x which will be y=3*2 meaning y=6 at the point x=2. Repeat with different x values until you have enough points to draw a straight line.

How many different ways may a set of 4 books be arraged side by side on a shell?

Answers

Answer:

24

Step-by-step explanation:

4 * 3 * 2 * 1 = 24

What is the perimeter of the trapezoid? In unit

Answers

Answer:

20 units

Step-by-step explanation:

the perimeter = 7+4+4+5 = 20 units

(Will mark brainlest ) help me to find the value of x or theta (step by step)​

Answers

Answer:

X = 6

Step-by-step explanation:

sin○ = opposite side/hypotenuse

sin 45 = 3 root2/x

1/root2 = 3 root2/x

x = 3 × 2

x = 6

Answer:

x=6 cm

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45 =opposite/hypotenuse

[tex]\frac{1}{\sqrt{2} } =\frac{3\sqrt{2} }{x}[/tex]

do cross multiplication

[tex]x=\sqrt{2} * 3\sqrt{2}[/tex]

x=6

Sum of all edges of all shape

Answers

Answer:

Infinient amount buddy. They are infinent amounts of polygons, as a polygon is a shape with more then 3 sides and closed. This means as long as a number is bigger then 3, there will be a shape for it, so infinent sides

Step-by-step explanation:

Five schools are going to send their baseball teams to a tournament, in which each team must play each other team exactly once. How many games are required

Answers

20 one team plays four other teams

Answer:

20 games are required to be play


Which expression is equivalent to
^3 sqrt 1/1000 c^9 d^12

Answers

Answer:

[tex] \sqrt[3]{ \frac{1}{1000} {c}^{9} {d}^{12} } \\ = \frac{1}{10} {c}^{3} {d}^{4} [/tex]

Can any one help?

Solve the following equations:

Answers

Answer:

2- x=16/3 or 5.3

4- x=8

Step-by-step explanation:

yeah

what that two numbers when multiplied give 600 and when added give 59 ​

Answers

Answer:

Step-by-step explanation:

Let the 2 numbers be x and y

From the problem we have that

x * y = 600 and x + y = 59

From x + y = 59 -> x = 59 - y

Plug x = 59 - y to x * y = 600 we have

(59 - y) * y = 600

-> 59y - y^2 = 600

-> -y^2 + 59y - 600 = 0

-> y = [tex](59 - \sqrt{1081})/2[/tex] or [tex](59 + \sqrt{1081})/2[/tex]

Then we could plug the answers in and find x because x = 59 - y

PLEASE HELP ASAP!!! WILL MARK BRAINLIEST !!

Answers

Answer:

CA = LJ

Step-by-step explanation:

The third side

CA = LJ

Answer:

CA=LG is correct answer

Researchers at a medical school conducted a study to test the effectiveness of a new drug for lowering cholesterol. The 52 subjects who volunteered for the study were each given a randomly generated number. Subjects with an odd number were given the new drug, while those with an even number were given a placebo. Cholesterol levels before and after the treatment were measured for each subject, and the differences were computed.

This study is an example of ______________ study. The difference in cholesterol level is _____________ the variable. The treatment with drug or placebo is the ____________ variable.

Answers

Answer:

1. An Experimental

2. Dependent

3. Independent

Step-by-step explanation:

Considering the description of how the research was carried out, it can be concluded that This study is an example of AN EXPERIMENTAL study. This because the researcher is trying to study the effectiveness of a new drug for lowering cholesterol

The difference in cholesterol level is the DEPENDENT variable. This is because the difference in cholesterol level is what the researcher wants to determine.

The treatment with a drug or placebo is the INDEPENDENT variable. This is because this is what the researcher manipulates to determine the difference in cholesterol level which is the dependent variable in this experimental study.

Use the data in the table to complete the sentence. x y –2 7 –1 6 0 5 1 4 The function has an average rate of change of __________.

Answers

Answer: -1

Step-by-step explanation:

Just took the test

,and the equation is y=-1x+5, so the change of x is -1

Answer:

The answer is -1

Step-by-step explanation:

A model train is built at a scale of 1 to 60. If the model train is 10 inches long, how many feet long is the actual train?

Answers

Answer:

Step-by-step explanation:

um yes..!

work out 8^1/3
^1/3 = power

Answers

Answer:

8/9 (decimal: 0.888889)

Answer:

[tex]2[/tex]

Two is the answer.

Step-by-step explanation:

simple explanation is; when you go through your two times table.. in order to arrive at eight, (8), you have to mention or go through 3 numbers

Or .... cube root of 8 is two..

PLEASE MARK ME BRAINIEST

If the ratio of paintings to paintbrushes is 11:9, what percent of the items are paintbrushes. A.30% B. 35% C.40% D.45%

Answers

Answer:

D. 45%

Step-by-step explanation:

there are 11 paintings and 9 paintbrushes, added together you have a total of 20 items. There are 9 paintbrushes and 20 items in total which is 9/20. 9/20 as a percentage is 45%

Find the point on the terminal side of θ = three pi divided by four that has a y coordinate of 1. Show your work for full credit.

Answers

Answer:

Remember that tan=y/x from your notes from module 4.

Step-by-step explanation:

Refer to the unit circle to see the relationship between x and y at that angle, it is -1. Now you can set up your equation of tan=1/x and solve for x.

For all the problems in this section you can set up an equation where tan=y/x, sin = y/h, and cos=x/h. Then using your equation you can solve for whatever number is missing.

Answer:

-1/1

Step-by-step explanation:

What is the solution to -2(8x - 4) < 2x + 5?

Answers

Answer:

See image below:)

Step-by-step explanation:

Jenny made $35,000 in taxable income last year suppose the income tax rate is 10% for the first 9000+16% for the amount over 9000 how much money is jenny pay in income tax for last year

Answers

Answer:

for the first 9000 $ tax rate is 10%

so tax = 10% of 9000 = 900

rest of the amount = 35000-9000 =26000

tax rate is 16%

tax on 26000 =  16% of 26000 = 3900

total tax Debra has to pay for last year = 900 + 3900 = $4800

Step-by-step explanation:

Answer:

900+3900=$4800

#CarryOnLearning

Plzzz help I don’t have a lot of time

Answers

Answer:

7

Step-by-step explanation:

It’s a right angle, so you can add the two expressions togther to get 90, then isolate x.

(8r-6)+(5r+5)=90

13r-1=90 (combine like terms)

13r-1+1=90+1 (add 1, addition property of equality)

13r=91

13r/13=91/13

r=7

Three relatives will share an inheritance of 196,800 in the ratio of 3 to 7 to 2. How many dollars of the inheritance will each of the relatives receive?

Answers

Answer:

49200

114800

32800

Step-by-step explanation:

196800/12=ans

ans * 3

ans * 7

ans * 2

An object dropped from a height of 500 feet has a height, h(t), in feet after t seconds have elapsed, such that h(t)=500−16t^2. Express t as a function of height h, and find the time to reach a height of 100 feet

Answers

Step-by-step explanation:

the answer is in the above image

In the figure below, which term best describes point R?

A. Orthocenter
B. Centroid
C. Incenter
D. Circumcenter

Answers

C should be right home

Orthocenter is the best term to describes point R in the triangle UVW.

What is orthocenter?

" Orthocenter is defined as intersecting point of the altitudes of the sides of the acute angle triangle."

According to the given figure,

In triangle UVW,

Ray VR perpendicular to UW

Ray UR perpendicular to VW

Ray WR perpendicular to UV

Altitudes of side  ( UV , VW, and WU) of triangle UVW intersect at

point R.

As per the definition of orthocenter , point R represents orthocenter.

Hence, orthocenter is the best term to describes point R in the triangle UVW.

Learn more about orthocenter here

https://brainly.com/question/19763099

#SPJ2

The sky ride at an amusement park spans 2,715 feet. Over the course of the day,
Anna rode the sky ride 7 times. How many feet did she ride?
A. 14,025 feet
B. 15,500 feet
C. 19,005 feet
D. 21,000 feet
Whoever answers this then there gonna get Branliest

Answers

Answer:

C. 19,005 feet

Step-by-step explanation:

[tex] \begin{array}{ccc} \rm 1 \: time \: ride \implies \: 2175 \: feet\\ \rm 7 \: times \: ride \implies 2175 \times 7 = 19005 \: feet\end{array}[/tex]

hence,

our answer is C)

Answer:

Solution given:

1times ride[tex]\rightarrow: [/tex]2715ft

7 times ride[tex]\rightarrow:[/tex]2715*7=19005ft

Option C 15,500 feet

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