In a marketing survey, a random sample of 1020 supermarket shoppers revealed that 268 always stock up on an item when they find that item at a real bargain price.

a. Find a 95% confidence interval for p?
b. What is the margin of error based on a 95% confidence interval?

Answers

Answer 1

Answer:

a) 95% of the confidence intervals created using this method would include the true proportion of shoppers who stock up on bargains.

b) Margin of error  = 0.0270.

Step-by-step explanation:

a)

[tex]\hat{p}[/tex] = point estimate of p [tex]= 268/1020 =0.2627[/tex]

[tex]\hat{q}= 1 - 0.2627 = 0.7373[/tex]

[tex]SE = \sqrt{\hat{p}\hat{q}/n}\\\\=\sqrt{0.2627\times 0.7373/1020}=0.0138\\\alpha = 0.05[/tex]

From Table, critical values of [tex]Z= \pm1.96[/tex] ,

Lower limit

                  [tex]= \hat{p} - Z SE\\ = 0.2627 - (1.96 X 0.0138) \\ = 0.2627 - 0.0276 \\ = 0.236[/tex]

upper limit = 0.2627 + 0.0276

                 = 0.2903

Correct option:

95% of the confidence intervals created using this method would include the true proportion of shoppers who stock up on bargains.

b) Margin of error =Z SE

                              = 1.96 X 0.0141

                              = 0.0270.


Related Questions

I have a test please someone help me I need this asp

Answers

Answer:

Step-by-step explanation:

the tilt has no impact...

if not tilted then h=14 r=3 vol = pi 3^3 h = 14*9 π

=126π

HELP I WILL GIVE BRAINLYEST
I SUCK AT MATH

Answers

Answer:

39/44

Step-by-step explanation:

Change 3 1/4 to 13/4 (improper fraction)

Multiply 3/11 x 13/4 = 39/44

Which table represents a nonlinear function? ASAP

Answers

Answer:

The second table, the table in the middle.

Step-by-step explanation:

Since the x-values of all the tables differ by 1, the difference between the y-values must be constant in order for the table to be linear. In second table, the different between the first and second y-value (from top to bottom) is 3, however the difference between the second and third and third and fourth values are 1.5, which is not constant. Therefore, the second table is nonlinear.

Mr. Bayudan has a bunch of $5 bills and $10 bills in his
wallet. He has a total of $140. He has three times the
number of $10 as the number of $5 in his wallet. How
many of each bill does he have?

Answers

Answer:

5x + 3(10) = 140

Step-by-step explanation:

The Centers for Disease Control and Prevention Office on Smoking and Health (OSH) is the lead federal agency responsible for comprehensive tobacco prevention and control. OSH was established in 1965 to reduce the death and disease caused by tobacco use and exposure to secondhand smoke. One of the many responsibilities of the OSH is to collect data on tobacco use. The following data show the percentage of U.S. adults who were users of tobacco for a recent 11-year period
Year Percentage of Adults Who Smoke
1 22.9
2 21.7
3 21
4 20.3
5 20.3
6 19.9
7 19.4
8 20.7
9 20.7
10 19
11 18.8
What type of pattern exists in the data?
Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. Do not round your interim computations and round your final answers to three decimal places. For subtractive or negative numbers use a minus sign. (Example: -300)
y-intercept, b0 =
Slope, b1 =
MSE =
One of OSH’s goals is to cut the percentage of U.S. adults who were users of tobacco to 12% or less within nine years of the last year of these data. Does your regression model from part (b) suggest that OSH is on target to meet this goal?
Use your model from part (b) to estimate the number of years that must pass after these data have been collected before OSH will achieve this goal. Round your answer to the nearest whole number.
years.

Answers

Answer:

1.) A negative linear pattern

2.) Y = - 0.298X1 + 22.241

3.) slope = - 0.298 ; intercept = 22.241

Kindly check explanation

Step-by-step explanation:

Fitting the time series data using technology, the regression equation obtained is :

Y = - 0.298X+ 22.241

Where ; y = percentage of adults who smoke

x = year

Comparing with the linear equation model :

y = b1x + b0

y = - 0.298x + 22.41

-0.298 = slope

22.41 = intercept

The mean squared error, MSE = 0.512

To achieve, percentage users of 12% or less :

y = 12

Y = - 0.298X+ 22.241

12 = - 0.298X + 22.241

12 - 22.241 = - 0.298X1

-10.241 = - 0.298X

X = 10.241 / 0.298

X = 34.365

X = 35 years

From the model OSHA is not on target to meet it's goal as it will take 35 - 11 = 24 years from the last year of the data to achieve a smoker percentage less Than 12%

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

x = 40°

Step-by-step explanation:

Reference angle = x°

Adjacent side length to reference angle = 7.2

Hypotenuse = 9.4

Apply trigonometric function CAH, which is:

Cos x = Adj/Hyp

Substitute

Cos x = 7.2/9.4

Cos x = 0.76596

[tex] x = cos^{-1}(0.76596) [/tex]

x = 40° (nearest tenth)

y= x +2
x^2 +y^2=10

solve using any method

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

(-3, -1) and (1, 3)

»»————- ★ ————-««  

Here’s why:  

I have graphed the two equations given on a graphing program.When graphed, they pass at points (-3, -1) and (1,3). Therefore, they are the solutions to the system.

⸻⸻⸻⸻

See the graph attached.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

[tex]{ \tt{y = x + 2 - - - (a)}} \\ { \tt{ {x}^{2} + {y}^{2} = 10 - - - (b) }} \\ substitute \: for \: y \: in \: (b) : \\ { \tt{ {x}^{2} + {(x + 2)}^{2} = 10 }} \\ { \tt{ {x}^{2} + {x}^{2} + 4x + 4 = 10 }} \\ { \tt{2 {x}^{2} + 4x - 6 = 0}} \\ { \tt{ {x}^{2} + 2x - 3 = 0 }} \\ { \boxed{ \bf{x = 1 \: and \: - 3}}} \\ in \: (a) : \\ y = x + 2 \\ { \boxed{ \bf{y = 3 \: and \: - 1}}}[/tex]

What is the slope of a line that is parallel to the line
shown on the graph?

Answers

The answer is -4 I think.

PLEASE HELP ME !!!! WILL GIVE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY

Answers

Answer:

(8x + 1)° + ( 4x+11)° = 180° (linear pair )

8x +1 + 4x +11 = 180

8x + 4x + 1 + 11 = 180

12x + 12 = 180

12x = 180 - 12

12x = 168

x= 168/12

x = 14

A bicycle has a listed price of $593.98 before tax. If the sales tax rate is 9.5%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.​

Answers

The answer should be $650.40. I hope this helps!

write 600 as a product of it's primse factors

Answers

Answer:

2*2*2*3*5*5

or

2^3 *3* 5^2

Step-by-step explanation:

600  = 60*10

These are not prime so keep going, breaking 60 and 10 down

        = 6*10  * 5*2

6 and 10 are not prime so keep going ( 5 and 2 are prime)

    = 3*2  * 5*2  * 5*2

All of the numbers are prime, so we normally write them in order from smallest to largest

2*2*2*3*5*5

We can write with exponents

2^3 *3* 5^2

Which point is a solution to the inequality?
O (-2, 1)
0 (-1,1)
0 (0, 1/2)
0 (3, 1/2)

Answers

You haven’t provided any equations so it’s not possible to solve this question

Option D is correct, (3, 1/2) point is a solution to the inequality y <1/3x+1/2.

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given expression is y < 1/3x+1/2

y less than one divided by three times of x plus one divided by two.

Now let us check by plugging each ordered pair.

Now plug in (-2, 1)

1<1/3(-2)+1/2

1<-2/3+1/2

1<-4+3/6

Is false.

Now plug in (-1, 1)

1<-1/3+1/2

Is false.

Now plug in (0, 1/2)

1/2 < 1/2

is false.

Now plug in (3, 1/2)

1/2 < 3(1/3) + 1/2

1/2 < 1 + 1/2 is true.

Hence, (3, 1/2) point is a solution to the inequality y < 1/3x+1/2.

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The total body surface area, or BSA, of a human is difficult to calculate. There are various models that estimate BSA based on a person's weight and height. One simpler model is BSA= wh 3600
where w = weight in kg and h = height in cm.
a. Using this model, estimate the height of a person who weighs 75 kg and whose BSA is 1.9.
Round your answer to the nearest cm.
h = _______ cm
b. Using this model, estimate the weight of a person who is 166 cm tall and whose BSA is 2.2.
Round your answer to the nearest kg.
w= _________kg

Answers

Answer:

173 cm

105 kg

Step-by-step explanation:

Given :

BSA= √wh /3600

where w = weight in kg and h = height in cm.

A.)

w = 75 kg ; BSA = 1.9 ; h =?

BSA= √wh /3600

1.9 = √75h /3600

Take the square of both sides

1.9² = 75h /3600

1.9² * 3600 = 75h

12996 = 75h

h = 12996 / 75

h = 173.28 cm

h = 173 cm

B.)

h = 166 ; BSA = 2.2

BSA= √wh /3600

2.2 = √w166 /3600

Take the square of both sides

2.2² = 166w /3600

2.2² * 3600 = 166w

17424 = 166w

w = 17424 / 166

w = 104.96 kg

w = 105 kg

Using the model given, we have that:

a) h = 173 cm.

b) w = 105 kg.

The BSA, for a person of weight w and height h, is given by:

[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]

Item a:

[tex]BSA = 1.9, w = 75[/tex], hence:

[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]

[tex]1.9 = \sqrt{\frac{75h}{3600}}[/tex]

[tex]\left(\sqrt{\frac{75h}{3600}}\right)^2 = 1.9^2[/tex]

[tex]\frac{75h}{3600} = 3.61[/tex]

[tex]h = \frac{3600(3.61)}{75}[/tex]

[tex]h = 173[/tex]

Hence:

h = 173 cm.

Item b:

[tex]BSA = 2.2, h = 166[/tex], hence:

[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]

[tex]2.2 = \sqrt{\frac{166w}{3600}}[/tex]

[tex]\left(\sqrt{\frac{166w}{3600}}\right)^2 = 2.2^2[/tex]

[tex]\frac{166w}{3600} = 4.84[/tex]

[tex]w = \frac{3600(4.84)}{166}[/tex]

[tex]w = 105[/tex]

Hence:

w = 105 kg.

A similar problem, in which there is also an application of a formula, is given at https://brainly.com/question/24348510

PLSSSSS HELP ASAP PLSSSS !!!

Answers

Answer:

15

Step-by-step explanation:

6x+3 = 7x-12

6x-7x=-12-3

-x= -15

x= 15

6x+3 = 7x-12

6x-7x=-12-3

-x= -15  from now on we know that x is now 15

so the answer is 15

From Cambridge

i need help! plz (listing BRAINLIST and giving points) ​:D​

Answers

Answer:

4

Step-by-step explanation:

these are two similar triangles, so to solve for x, we create two similar ratios!

x/2 = 7/3.5

cross multiply.

14=3.5x

divide 14 by 3.5

x=4

Find q. will give brainliest!!

Answers

Step-by-step explanation:

q=24 m

cause its congurent

q is 16 meters, it’s not exactly congruent because the triangles are similar not exact copies

The sum of six times a number and the quotient of that number and two is ten.

Answers

Yes it is why do you need help?

6x + x/2

Which algebraic expression best represents this word phrase?

The sum of six times a number and the quotient of that number and two

Pls help I’ll brainlest

Answers

Answer:

B.) 0.00692

Step-by-step explanation:

6.92 x 10^-3

0.00692

You Tube
A Maps
A Student Portal - My...
O VYQWAINT VS HA...
M Inbox (139) - swilks.
O GEOMETRY
Finding the side length of a rectangle given its perimeter or area
The area of a rectangular field is 3975 yd?. If the length of the field is 75 yards, what is its width?
yards
Х
?

Answers

Answer:

53 yds

Step-by-step explanation:

Its just 3975 divided by 75

Filing for bankruptcy can clear a person's personal debt. Read each statement carefully and choose the statement that accurately
describes an effect of filing for bankruptcy

Answers

Answer:

C

Step-by-step explanation:

Filing for bankruptcy can damage a person's credit for many years. which is the correct answer would be an option (C).

What is bankruptcy?

Bankruptcy is a legal procedure that is supervised by federal bankruptcy courts. It is intended to assist people and organizations in eliminating all or part of their debt or repaying a fraction of what they owe.

Bankruptcy status on your credit record may make it harder to obtain new credit after the bankruptcy has been discharged – at least until the information is removed from your credit report. Lenders will be wary of extending you new credit, and they may require you to accept a higher interest rate or less favorable conditions in order to do so.

Thus, filing for bankruptcy can damage a person's credit for many years.

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Which of the following is described by the notation AB || CD ?
A. Perpendicular lines
B. Intersecting lines
O C. Skew lines
D. Parallel lines



Answers

Answer:

D Parallel lines

Step-by-step explanation:

this is one of the easiest symbols there are.

2 little lines being perfectly parallel to each other. that symbolizes (surprise, surprise) that the two actually referenced lines are parallel.

The notation "AB || CD" represents parallel lines.

Explanation:

In geometry, parallel lines are lines that never intersect. They are always equidistant and maintain the same distance between each other at all points. The notation "AB || CD" indicates that line AB is parallel to line CD.

Perpendicular lines are lines that intersect at a 90-degree angle. The notation "AB || CD" does not represent perpendicular lines.

Intersecting lines are lines that cross or meet at a common point. The notation "AB || CD" does not represent intersecting lines.

Skew lines are lines that do not lie in the same plane and are neither parallel nor intersecting. The notation "AB || CD" does not represent skew lines.

Parallel lines are lines that do not intersect and maintain the same distance between each other at all points. The notation "AB || CD" explicitly indicates that line AB is parallel to line CD.

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If you borrow $200 for 12 years at
an annual interest rate of 2%, how
much will you pay altogether?

Answers

Answer:

$48

Step-by-step explanation:

200 x .02 = 4 (This finds how much interest you pay per year.)

4 x 12 = 48 (This finds how much interest you pay altogether.)

If you borrow $200 for 12 years at an annual interest rate of 2%, then we have pay $248 altogether.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

If you borrow $200 for 12 years at an annual interest rate of 2%

We need to find 2% of 200.

Firstly we have to convert  2% to decimal number by dividing with 100.

2/100=0.02

Now we have to multiply 0.02 with 200

0.02×200=4

For a month it is four.

Now we are calculating for year

4×12=48

So now the interest amount is 48.

Now add 48 and 200

48+200

248

Hence, If you borrow $200 for 12 years at an annual interest rate of 2%, then we have pay $248 altogether.

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Describe two ways to check whether algebraic expressions are equivalent.​

Answers

Left side right side check! that’s only one i know sorryyyy

name two rays that contain the following line segments:

__
TV

__
XZ​

Answers

segment TV:

ray WU

ray TU

segment XZ:

ray WZ

ray XZ

John's salary is $1250 a month plus a 5% commission on all his sales. What must the amount of his sales be to earn at least $1500 each month?
also it's not $15,000 ​

Answers

Answer:

5,000

Step-by-step explanation:

5,000 x .05 = 250

250 + 1,250 = 1,500

where have all the tutors gone​

Answers

Answer:

Brainly removed asking tutors by message, so the only way is by asking questions or typing in the comments.

Step-by-step explanation:

Popular answerers:

mhanifa

Wegnerkolmp2471o

msm55

Sqdancefan

and others...

Write the equation of the circle whose center is (-4,8) and has a diameter of 18

Answers

Answer:

(x + 4)^2 + (y - 8)^2 = 81

or

(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.

Step-by-step explanation:

The standard form for a circle is

(x + h)^2 + (y + k)^2 = r^2

r is the radius.

You are given the diameter

r = d/2

r = 18/2

r = 9

So you already have the right hand side of the equation

(x + h)^2 + (y + k)^2 = 9*2

(x + h)^2 + (y + k)^2 = 81

You basically have h and k as well. They come from the center point.

h = 4

k = - 8

So the equation of the circle (and the answer) is

(x + 4)^2 + (y - 8)^2 = 81

One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.

It is the distance formula that is actually the formula for the circle.

Three friends got the prize money worth 36,000. The first friend would get three times the amount of the third friends portion. The third friend would get twice the amount of the second friends portion. Determine the amount that each friend would receive.

Answers

Answer: thats tuff

Step-by-step explanation:

The domain of both f(x) = x-6 and g(x) = x+6 is all real numbers. What is the domain of h(x)= f(x)/g(x) ?

Answers

Answer:

the domain of h(x) = f(x) /g(x) will be all real numbers without -6 because for -6 will result the denominator equal zero and hence this fraction will be undefined

Step-by-step explanation:

what is a circumference of a circle with a dimeter of 1 inch (use 3.14)​

Answers

Given diameter = 1 inch

radius= D/2 = 1/2 = 0.5 inch

Circumference of circle = 2πr = 2×3.14×0.5= 3.14 inch

Answer circumference of a circle is 3.14 inch

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