in a survey of 1,000 adults in a country, 722 said that they had eaten fast food at least once in the past month. create a 95% confidence interval for the population proportion of adults who ate fast food at least once in the past month. use excel to create the confidence interval, rounding to four decimal places.

Answers

Answer 1

To create a 95% confidence interval for the population proportion of adults who ate fast food at least once in the past month, we need to first calculate the sample proportion.

The sample proportion is calculated by dividing the number of adults who ate fast food at least once in the past month (722) by the total number of adults surveyed (1000). This gives us a sample proportion of 0.722.

To calculate the confidence interval, we can use the following formula:

Sample proportion +/- 1.96 * sqrt((Sample proportion * (1 - Sample proportion)) / Sample size)

Plugging in the values, we get:

0.722 +/- 1.96 * sqrt((0.722 * (1 - 0.722)) / 1000)

This gives us a 95% confidence interval of (0.6901, 0.7539). Rounded to four decimal places, the confidence interval is (0.6901, 0.7539).

Note: To calculate the confidence interval using Excel, you can use the following formula:

=CONFIDENCE.NORM(alpha, standard_dev, size)

Where "alpha" is the desired confidence level (e.g., 0.95 for a 95% confidence interval), "standard_dev" is the standard deviation of the sample, and "size" is the sample size. To calculate the standard deviation, you can use the STDEV.P function.

For example, to calculate the lower and upper bounds of the 95% confidence interval, you could use the following formulas:

Lower bound: =CONFIDENCE.NORM(0.95, STDEV.P(A1:A1000), 1000) - (1.96 * STDEV.P(A1:A1000))

Upper bound: =CONFIDENCE.NORM(0.95, STDEV.P(A1:A1000), 1000) + (1.96 * STDEV.P(A1:A1000))

Where A1:A1000 is a range containing the values "1" for those adults who ate fast food at least once in the past month and "0" for those who did not. This will give you the same result as the manual calculation above.

Learn more about confidence interval here:

https://brainly.com/question/20309162

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$9

Step-by-step explanation:

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Mr.Jenkins will purchase a riding lawnmower that costs $1,350. The store offers no interest if he uses the store credit card and the balance is paid in full within one year.

PLS HELP

Answers

Complete question is;

Mr. Jenkins will purchase a riding lawnmower that costs $1,350 The store offers no interest if he uses the store credit card and the balance is paid in

full within one year. He has $1,500 in his checking account. Compare the

advantages and disadvantages to using either a debit card or a credit card.

Answer:

Advantages & disadvantages given below

Step-by-step explanation:

Advantages;

1. They have low fees; for example almost all store credit cards don't charge annual fees but instead they promote some very good offers.

2. Possibility of having discounts from retailers; because majority of retailers usually love promoting their credit cards because it helps them ensure they save more money and they hold on to this principle judiciously. For example there could be discounts upon first purchase or when you shop at target stores which they offer.

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A marketing research company desires to know the mean consumption of milk per week among people over age 45. They believe that the milk consumption has a mean of 4.2 liters, and want to construct a 98% confidence interval with a maximum error of 0.08 liters. Assuming a standard deviation of 0.6 liters, what is the minimum number of people over age 45 they must include in their sample

Answers

Answer:

The minimum number of people over age 45 they must include in their sample is 305.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation of 0.6 liters

This means that [tex]\sigma = 0.6[/tex]

What is the minimum number of people over age 45 they must include in their sample?

This is n for which M = 0.08. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.08 = 2.327\frac{0.6}{\sqrt{n}}[/tex]

[tex]0.08\sqrt{n} = 2.327*0.6[/tex]

[tex]\sqrt{n} = \frac{2.327*0.6}{0.08}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327*0.6}{0.08})^2[/tex]

[tex]n = 304.6[/tex]

Rounding up:

The minimum number of people over age 45 they must include in their sample is 305.

Raymond kept track of the number of hours that he spent practicing the piano each week for several weeks. He spent 2, 4, 8, 6, and 5 hours. What is the range of the data set? B. 5 hours O A. 2 hours O O O D. 6 hours C. 8 hours​

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The answer is D, 6 hours

g Radio and television stations often air controversial issues during broadcast time and ask listeners and viewers to indicate their agreement or disagreement with a given stand on the issue. A poll is conducted by asking those listeners and viewers who agree to call a certain 900 telephone number and those listeners and viewers who disagree to call a second 900 telephone number. All respondents pay a fee for their calls. Does this polling technique result in a random sample

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Answer:

NO, it does not.

Step-by-step explanation:

From the information provided, we know that the surveying method for the polling depends on the no. of calls got on the two sorts of 900 phone numbers.  

This surveying strategy doesn't address a random sample in light of the fact that the viewers who see the show can be restricted. Additionally, among the viewers of the show, the reactions depend on viewers who intentionally approach to offer or air their opinion. Therefore, the acquired sample doesn't address a random sample and specifically, we can posit that the sample occurs to be a voluntary sample.

blank plus 1/2 equals to 2/3

Answers

Answer:

1/6 + 1/2 = 2/3

Step-by-step explanation:

Please helpppp meeee

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the answer to the question is A

Find the area of the sector.

Answers

Answer:

D. 158.4 km²

Step-by-step explanation:

Area of sector = θ/360 * πr²

Where,

θ = 150°

r = 11 km

Substitute

Area = 150/360 * π * 11²

Area = 158.38863 ≈ 158.4 km² (nearest tenth)

simplify the expression by distributing combining like terns 2x + 3(2x+1) ​

Answers

Answer:

3

Step-by-step explanation:

23

Pls help A bag contains 40 colored tiles. There are 12 red, 17 blue, 8 yellow and 3 green. One tile is drawn at
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B.green
C.yellow
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D blue I think, it has the most tiles in the bag 17/40 while all the other fractions are smaller decreasing their chances

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Answer:

V =1884 in ^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

V = pi ( 10) ^2 * 6

V = pi ( 600) in^3

Using 3.14  for pi

V = 3.14 * 600 in ^3

V =1884 in ^3

What is (14x^2– 27x+9) / (7x-3)?

A. 7x-3
B. 2x-3
C. -211x+9
D. 2x-33

Answers

Answer:

B. 2x - 3

Step-by-step explanation:

[tex] \rm \frac{ {14x}^{2} - 27x + 9}{7x - 3} [/tex]

[tex] \rm = \frac{ \cancel{(7x - 3)}(2x - 3)}{ \cancel{7x - 3}} [/tex]

[tex] \boxed{ \rm \bold{= 2x - 3}}[/tex]

Answer:

[tex]\tt{}2x - 3[/tex]

Step-by-step explanation:

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[tex] \tt{} \frac{14 {x}^{2} - 6x - 21x + 9 }{7x - 3} [/tex]

[tex]\tt{} \frac{2x \times (7x - 3) - 3(7x - 3)}{7x - 3 } [/tex]

[tex]\tt{}2x - 3[/tex]

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So - we know that these two angles must be equal to prove that the lines A and B are parallel. Knowing this, we can write an equation:

5x + 20 = 3x + 60

Subtract 20 from both sides:

5x + 20 - 20 = 3x + 60 - 20

5x = 3x + 40

Subtract 3x from both sides:

5x - 3x = 3x - 3x + 40

2x = 40

x = 20

If you have any questions on how I got to the answer, just ask!

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Answer:

y = 4

Step-by-step explanation:

Both the triangles are congruent by SSS postulate.

Therefore,

[tex]4y + 8 = 24 \\ (corresponding \: sides \: of \: \\ congruent \: \triangle s) \\ 4y = 24 - 8 \\ \\ 4y = 16 \\ \\ y = \frac{16}{4} \\ \\ y = 4[/tex]

This graph represents the height a baseball travels in t seconds.

How long is the height of the ball increasing?

0.5 seconds
1 second
2.4 seconds
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We need to see the graph to answer this next time out a picture added
Is their a graph? To answer the question

https://studio.code.org/projects/flappy/cYGc2S_X9-cgWtBUmJ5BJta5xku7iqyon0wzrKhC-Do

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Answer:

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Step-by-step explanation:

2 1/5 + 6 4/5 pls help

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Answer:

2 1/5 + 6 4/5

= 2/5 + 24/5

= 26/5

= 5.2

Answer:

[tex]8\frac{5}{10}[/tex]

Step-by-step explanation:

[tex]2 + 6 = 8\\\frac{1}{5} + \frac{4}{5} = \frac{5}{10}[/tex]

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9514 1404 393

Answer:

  A.  x = {nπ, π/4 +nπ}

Step-by-step explanation:

The zero product rule tells you the solutions are found where the factors are zero:

  tan(x) = 0   ⇒   x = nπ

  tan(x) -1 = 0   ⇒   x = arctan(1) +nπ = π/4 +nπ

_____

When working with functions of trig functions, it is helpful to have an idea of the general shape of their graphs and a few "special" values.

help me please I will mark 5 stars please it is urgent

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Answer:

a) 3sec

b) highest point of 50

c) at 0 by 8 sec

(Please answer this asap)

Mia has a circular garden that she wants to put a fence around.

She knows that the area of a garden is 9p yds^2.

How much fencing does Mia need to go around the circumference of the garden?


Answers

Answer:

uhh i think 19?-

Step-by-step explanation:

i tried sorry-

Help:’/ it’s my last year

Answers

1 1=60° 2=60° 3=60°
2 h=127°
Hope this helps

Please help I kind of understand but not fully

Answers

Answer:

Graph #1 - y=-20x+40

Graph #2 - y=5x+10

Step-by-step explanation: The first thing that you do is pull two points from each of the graphs and find the slope. To find the slope you use

M = y2-y1/x2-x1

FROM GRAPH #1:

(3,40) (2,80)

(x1,y1)    (x2,y2)

   80-40/2-3

      20/-1

    M = -20

FROM GRAPH #2:

(1,10) (3,20)

(x1,y1)  (x2,y2)

  20-10/3-1

     10/2

    M = 5

2. Now once you find the slope you will use the equation of a line formula to form an equation.

y=mx+b

The (mx) is your slope, the (b) is the y-intercept. (any value on the y-axis)

3. Since we now know the equation of a line and the slope we will substitute the variables.

Graph #1:

y=mx+b

y=-20x+40

Graph #2:

y=mx+b

y=5x+10

HOPE THIS HELPS :)

The Lazy River has a current of 2 miles per hour. A motorboat can travel 15 miles
down the river in the same amount of time it takes to travel 9 miles up the river.
What is the speed of the boat in still water? Please show your work and use table to
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Answer:

8mph

Step-by-step explanation:

I just answered the question

Select the correct answer.


The figure PQRSTU represents the shape of the parking lot at a shopping mall. What is the area of the parking lot?

A.
834 square feet
B.
918 square feet
C.
984 square feet
D.
1,068 square feet
Reset

Answers

Answer:

Is there an image? I cant figure it out without the image

Step-by-step explanation:

Determine whether each ordered pair is a solution of the system of linear equations.
3y = 6x + 12
2x - y = -4
a. (-3,2)
b. (0,4)
a. Is (-3,2) a solution?
0 Yes
Ο Νο
b. Is (0,4) a solution?
O No
0 Yes

Answers

Answer:

(0,4)

Step-by-step explanation:

The given equations are :

3y = 6x + 12  

2x - y = -4

If (-3,2) be the solution of the above equations,

3(2) = 6(-3) + 12

6 = -18+12

6≠ -6  

2x - y = -4

2(2) -(-3) =-4

4+7 = -4

11 ≠ -4

No, (-3,2) is not the solution.

Similarly, put (0,4) in the abve equations,

3(4) = 6(0) + 12

12 = 12

and

2(0) - 4 = -4

-4 = -4

Hence, (0,4) is a solution of the given equations.

What if both Sammy and Tanya each drove the same number of miles for another 14 days? How many miles would they have driven ALL TOGETHER?

Answers

Answer:

Take whatever amount of miles Sammy and Tanya drive and add them

Step-by-step explanation:

I don't have many numbers to work with so my equations are:

14 x (1 day of driving miles amount) = a

A x 2 = your answer

Week 5 Test Taking skills, Page 2
Name
3
Rodrigo bought a sheet of shark stickers. He used 8 of the 32 stickers to decorate his science project about
sharks.
Shark Stickers
DO
How many shark stickers did Rodrigo use on his science project?
A
24
B
18
с
20
D
30

It’s number 3

Answers

Answer:

20

Step-by-step explanation:

5/8 of 32

5/8×32=20

remember of means multiply

HOPE THIS HELP YOU HAVE A NICE DAY OR NIGHT

Round 329,167 to the nearest hundred

Answers

Answer:

329,200

Step-by-step explanation:

Answer:

329,200

Step-by-step explanation:

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