A random sample of 1005 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" of the
1005 adults surveyed, 522 indicated that televisions are a luxury they could do without Complete parts (a) through (d) below.
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(a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without
pe
(Round to three decimal places as needed)
(b) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do
without Select the correct choice below and fill in any answer boxes within your choice
(Type Integers or decimals rounded to three decimal places as needed. Use ascending order)
O A. We are
% confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between and
B. There is a
% chance the proportion of adults in the country who believe that televishans are a luxury they could do without is between
(c) Is it possible that a supermajority (more than 60%) of adults in the country believe that television is a luxury they could do without? Is it likely?
It is
that a supermajority of adults in the country believe that television is a luxury they could do without because the 95% confidence
interval
and
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A Random Sample Of 1005 Adults In A Certain Large Country Was Asked "Do You Pretty Much Think Televisions

Answers

Answer 1

From the information given in the exercise, we build the confidence interval and solve this question. First, we have to find the point estimate for the population proportion, then using this point estimate, and sample size, we build the confidence interval. According to the built confidence interval, question c is answered.

Item a:

522 out of 1005 indicated that television is a luxury that they could do without, so:

[tex]\pi = \frac{522}{1005} = 0.5194[/tex]

Thus, the point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without is 0.5194.

Item b:

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 .

For this problem, we have that:

[tex]n = 1005,\pi = 0.5194[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5194 - 1.96\sqrt{\frac{0.5194*0.4806}{1005}} = 0.4885[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5194 + 1.96\sqrt{\frac{0.5194*0.4806}{1005}} = 0.5503[/tex]

Thus, the 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without is (0.4885,0.5503). The interpretation is that:

We are  95% confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between 0.4885 and 0.5503.

Item c:

It is possible, but unlikely that a supermajority of adults in the country believe that television is a luxury they could do without because the 95% confidence  interval does not contain 60%.

For another example of a confidence interval for a proportion, you can check https://brainly.com/question/16807970


Related Questions

the difference between a number and 6

Answers

Step-by-step explanation:

=The difference between a number and 6

the term difference is used in mathmatics as subtraction

let x = a number

x - 6 = the difference between that unknown number and 6

Answer:

Step-by-step explanation:

difference means subtract. Difference is always worded the same way. What you have written means that you start with an algebraic letter and then comes the minus sign and then the number

Let the number = x

x - 6

If it was worded as difference between 6 and a number, you would write it this way

6 - x

How many times greater is
6.6 x 10^10
than
3 x 10^7
2.2
22
1000
2200

Answers

Answer:

2,200

Step-by-step explanation:

6.6 x 10^10

= 66,000,000,000

3 x 10^7

= 30,000,000

66,000,000,000 ÷ 30,000,000

2,200

Answer:

2200.

Step-by-step explanation:

6.6 / 3  *  10^10/10^7

= 2.2 * 10^3

= 2200

SOMEONE PLEASE HELP ME WITH THIS AND EXPLAIN EACH ONE AND HOW YOU DID IT PLEASE MY TEACHER SUCK AND ILL GIVE YOU BRAINLY IF U GET IT RIGHT!!!!

Answers

Answer:

a)

d)

Step-by-step explanation:

It's easiest to reduce each statement to its simplest form for comparison

Our test statement can be reduced by combining like terms

16x - 12 -24x + 4 = -8x - 8

this becomes our new gold standard

a) 4 + 16x - 12(1 + 2x)

apply the distributive property by multiplying terms in parenthesis by -12

4 + 16x - 12 - 24x

combine terms

-8x - 8     Yeaah, We have a winner as it exactly matches our gold standard.

b) 40x - 16 is already in simplest terms and does NOT match the gold standard.

c) 16x - 24x - 4 + 12

has the same cardinal values as the original, but differing signs, reducing gives -8x + 8

Not quite the same as a plus sign occurs where a negative exists in our gold standard.

d) -8x - 8  is already in simplest terms and exactly matches our gold standard. Yeah!

e) 10(1.6x - 1.2 - 2.4x + 4)

apply distributive property by multiplying each term in parenthesis by 10

16x - 12 - 24x + 40

combine like terms

-8x + 28 does NOT match our gold standard

175 2/3 + 456 2/3
add and simplify
help pls​

Answers

Answer:

460 1/3

Step-by-step explanation:

175 2/3 + 456 2/3

First convert to improper fraction,

527/3 + 854/3

=> 1381/3

Then After adding convert back to mixed fraction,

=> 460 1/3

please helpppp.
Which of these could be the graph of F(x) = In x + 3?

A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

Answer:

c

Step-by-step explanation:

Try desmos

The Answer should be graph c

Is this a function graph

Answers

yes it is a function graph

Algebra 2, please help! thank you
The function y = 2 cos 3(x + 2π∕3) +1 has a phase shift (or horizontal shift) of

A) –2π∕3
B) 3
C) 1
D) 2

Answers

Answer:

-2pi/3

Step-by-step explanation:

y = 2 cos 3(x + 2π∕3) +1

y = A sin(B(x + C)) + D  

amplitude is A

period is 2π/B

phase shift is C (positive is to the left)

vertical shift is D

We have a shift to the left of 2 pi /3

Answer:

A

Step-by-step explanation:

The standard cosine function has the form:

[tex]\displaystyle y = a\cos (b(x-c)) + d[/tex]

Where |a| is the amplitude, 2π / b is the period, c is the phase shift, and d is the vertical shift.

We have the function:

[tex]\displaystyle y = 2 \cos 3\left(x + \frac{2\pi}{3}\right) + 1[/tex]

We can rewrite this as:

[tex]\displaystyle y = \left(2\right)\cos 3\left(x - \left(-\frac{2\pi}{3}\right)\right) + 1[/tex]

Therefore, a = 2, b = 3, c = -2π/3, and d = 1.

Our phase shift is represented by c. Thus, the phase shift is -2π/3.

Our answer is A.

pls help me asap !!!

Answers

Answer:

11

Step-by-step explanation:

Hopefully you can see that this is an isosceles triangle and remembering the inequality theorem of a triangle (4,4,11 triangle cannot exist).  Iso triangle has two side the same length - as well as two angles the same.

Help please! Also please show the steps of how you got the answer!
30% of 40% of 15

Answers

Answer:

1.8

Step-by-step explanation:

First, find 40% of 15:

15(0.4)

= 6

Next, find 30% of this:

6(0.3)

= 1.8

So, the answer is 1.8

A stegosaurus eats ten twelfths of a plant and then eats two twelfths of the plant later. Estimate how much of the plant the dinosaur ate in all. Explain your thinking.

Answers

Answer:

12 Twelfths (12/10)

Step-by-step explanation:

If the dinosaur ate 10 twelfths, then ate 2 twelfths, you need too add that up.

10/12 + 2/12 = 12/10.

The dinosaur ate 12/10 of a plant. (6/5 if needed to simplify)

Hope this helps!

Answer:

0/12

Step-by-step explanation:

The answer is 0/12. We know this because if there are twelve twelfths [12/12] of a plant and the stegosaurus eats ten twelfths [10/12] of a plant then it is 12 - 10 or the fraction form [12/12 - 10/12] then we subtract and we get the answer [2/12]. And then later it says the stegosaurus ate two twelfths [2/12] of a plant then we subtract 2 - 12 or [2/12 - 2/12] that would then equal 0/12.          

please help, will give brainliest for correct answer

Answers

ain't it just 3 for each one unless i'm missing something

- 200
Solve it i need help

Answers

Answer:

[tex]-10\sqrt{2}[/tex]

Step-by-step explanation:

[tex]-\sqrt{200}[/tex]

To factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5)

In the end, the number of times each prime divides the original integer becomes its exponent.

Prime number 2 to the power of 3 equals 8, and 5 to the power of 2 equals 25.

[tex]-\sqrt{2^{3}*5^{2} }[/tex]

We need to rewrite certain factors as the product of two factors in order to remove them from the radical.

The exponent of the first factor in such a product will be equally divided by the radical index, allowing us to eliminate it from the radical.

Here, because their exponents are evenly divided by the radical index, we will be able to eliminate the following components from the radical:

[tex]2^{2}[/tex] and [tex]5^{2}[/tex]

[tex]-\sqrt{2^{2} *2*5^{2} }[/tex]

[tex]-10\sqrt{2}[/tex]

OAmalOHopeO

Find the area of the figure to the nearest tenth?

Am I right?

Answers

No, it’s a. Figure the area of the circle, which is 153.86. But that’s for the whole circle which is 360 degrees. Since you just need 120 degrees, 360/120=3 so divide 153.86 by 3 and you get 51.3


Using your textbook, solve the problems below. Show your work.
Solve for y:
y + 8 = 2

Answers

Answer:

i dont know lol

Step-by-step explanation:

multiply 725base 9× 367base 9​

Answers

Answer:

Hello,

Answer 303028

Step-by-step explanation:

Multiplication in base 9

[tex]\begin{array}{cccccc}9^5&9^4&9^3&9^2&9^1&9^0\\--&--&--&--&--&--\\&&&7&2&5\\&&&3&6&7\\--&--&--&--&--&--\\&&5&5&8&8\\&4&7&6&3&\\2&3&7&6&&\\--&--&--&--&--&--\\3&0&3&0&2&8\end{array}[/tex]

Given the parent graph h(x) = x, what happens when it is changed to h(x + 9)?

Answers

Answer:

If the parent graph is h(x) = x, then h(x+9) would actually be shifting the graph 9 units to the LEFT.

Let me know if this helps!

which of the following portions are true
A. 20/48 = 40/90
B. 25/40 = 48/80
C. 18/48 = 27/72
D. 12/15 = 21/25

Answers

The answer would be C. If you divide 18 by 48 you would get 0.375, if you divide 27/72 you would also get 0.375. This shows that both are equivalent to each other.

Please find the answer

Answers

9514 1404 393

Answer:

  -0.84

Step-by-step explanation:

In decimal, the expression is ...

  -1.34 +1.50 -1.00 = -0.84

__

As fractions, the expression is ...

  -67/50 +75/50 -50/50 = (-67+75-50)/50 = -42/50 = -21/25

A local food bank uses volunteers to staff the kitchen. If there are 30 college students working there out of a total of 100 volunteers, what is the probability that in a sample of 10 volunteers, 4 of them are college students? Four decimal places please!

Answers

When you form a 10 people sample from a pool of large amount with equal probabilities, let s denote student and n denote non student, each spot in the sample has 1/2 chance to be s or n so each event has 1/2*1/2*1/2…. =(1/2)^10 probability. For example: snsnsnnnns. And intuitively you should see that there have a permutation 2^10 = 1024 ways to line them up (permutation with repetition like a suitcase 3-line passcode lock with 10 numbers on each line, you will have exactly 10*10*10 ways to choose passcodes, which is 10^3=1000 ways) , and each way has a probability a equal probability which is 1/1024 which is (1/2)^10.

Now let’s pick 4 students that we know for sure, mark 10 spots and have them walk randomly into each taking exactly 1 spot. There are C (10,4) possible combinations of choosing 4 people to walk in, for example 4s taking spot 3,6,7,10; 2,5,7,8; … C(10,4) = 210 ways. This represents that in a 10 spot line with 4 students and 6 non students in it, no matter how they are arranged there are 210 ways they line up. Now since each way has a prob 1/1024 we have a probability of 210 ways multiply by 1/1024 which = 55/256.

That was the case with large pool of equal number of S and N let’s make it a more realistic say 50 students and 50 non students. (1/2 derived from 50/100 or 5/10)

So now we have 30 students and 70 non students pool, the answer should be (3/10)^4*(7/10) ^6 which is the probability of 4 students and 6 non students lined up in some way while choosing them from the pool. Here we can also see that each 10 people sample no longer have the same probability. And that number came out to be 0.0081*0.117649=0.00095. And again there are 210 ways of arranging them so the probability is 210 ways multiply by 0.00095 which is 20%. This is the Answer.

Which equation best describes the graph.

Answers

Answer:

A. [tex]y=4x-5[/tex]

Step-by-step explanation:

The equations are in slope-intercept form, which is written as y=mx+b. Where m is the slope and b is the y-intercept. So, first, find the slope. The line increases by 4 every unit; this means the slope is 4. Then, find the y-intercept. The y-intercept is where the line crosses the y-axis. Since the line crosses at -5, that is the b value. Therefore, the final answer is y=4x-5.

The answer of what the other people said is correct. It is A, you can use desmons website to check your answer

You have $90,000 in cash. You can deposit it today in a mutual fund earning 7.5
percent semiannually; or you can wait, enjoy some of it, and invest $12,000 in your
brother's business after two years. Your brother is promising you a return of at least 12
percent on your investment. Whichever alternative you choose, you will need to cash
in at the end of 8 years. Assume your brother is trustworthy and that both investments
carry the same risk. Which one will you choose?

Answers

I will go to the Bahamas instead and think about later

What is the ratio of 1:6 and 3:8

Answers

1:6 is the same as 1/6

3:8 is the same as 3/8

find the values ​​of x and y for the following matrix equations​

Answers

Answer:

Step-by-step explanation:

2. Solve the following:
a. When six is added to four times a number the result is 50. Find the number.
b. The sum of a number and nine is multiplied by -2 and the answer is -8. Find the
number
10
m in​

Answers

Step-by-step explanation:

a) let number=x

four times a number=4x

Condition:

4x+6=50

4x=50-6

4x=44

x=44/4

x=11

b) Condition:

x+9×-2=-8

x-18=-8

x=-8+18

x=10

Note:if you need to ask any question please let me know.

Solve for x.
Sqrt8 (Sqrt2 - x) = 11

Answers

Answer:[tex]\frac{-7\sqrt{2} }{4}[/tex]

Step-by-step explanation:

So first, let's get rid of the parentheses. We can multiply it out to get [tex]\sqrt{16}-x\sqrt{8} =11[/tex]. We know that the square root of 16 is ±4, so now our equation is ±4 - [tex]x\sqrt{8}[/tex]=11. I'm guessing since the problem only has one solution it's most likely only positive 4, so let's revise our equation to 4 - [tex]x\sqrt{8}[/tex]=11. We can use inverse operations to make the a little easier to solve: -7= [tex]x\sqrt{8}[/tex]. We divide both sides by [tex]\sqrt{8}[/tex] to get [tex]\frac{-7}{\sqrt{8} } =x[/tex], which we can rationalize (remove the square root from the denominator so that it's a proper answer) by multiplying by [tex]\frac{\sqrt{8} }{\sqrt{8} }[/tex] (which is equal to one so we can use it) which is equal to [tex]\frac{-7\sqrt{8} }{8}[/tex]. Let's finish this by simplifying it. [tex]\sqrt{8} =2\sqrt{2}[/tex] (2x[tex]2^{2}[/tex]). We can simplify it further by simplifying the 2, making it [tex]\frac{-7\sqrt{2} }{4}[/tex].

Hope this wasn't too confusing! I'll answer any questions.

Answer:

x = -7 sqrt(2)/4

Step-by-step explanation:

Sqrt8 (Sqrt2 - x) = 11

Simplify sqrt(8) = sqrt(4*2) = 2 sqrt(2)

2 sqrt(2) (Sqrt2 - x) = 11

Distribute

2 *2 - 2 sqrt(2) x = 11

4 - 2 sqrt(2)x = 11

Subtract 4 from each side

4-2sqrt(2)x -4 = 11-4

-2 sqrt(2)x = 7

Divide each side by -2 sqrt(2)

-2 sqrt(2)x /-2 sqrt(2) = 7/ -2 sqrt(2)

x = - 7/ 2 sqrt(2)

Multiply top and bottom by sqrt(2)

x = - 7/ 2 sqrt(2)  * sqrt(2)/ sqrt(2)

x = -7 sqrt(2)/4

Which improper fraction is equivalent to 17.8?

89/10

93/10

89/5

Answers

Answer:

17.8.

Step-by-step explanation:

89/5

= 17 4/5

= 17.8.

The correct improper fraction which is equivalent to 17.8 is,

⇒ 17.8 = 89 / 5

What is Rational number?

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

We have to given that;

The number is,

⇒ 17.8

Now,

We can simplify the number as;

⇒ 17.8

⇒ 178 /10

⇒ 89 / 5

Therefore, The correct improper fraction which is equivalent to 17.8 is,

⇒ 17.8 = 89 / 5

Learn more about the rational numbers visit:

https://brainly.com/question/12088221

#SPJ3

I need help with this math question.

x^3-8x^2<0

Answers

Answer:

X>8

Step-by-step explanation:

Dudbdksjhdkdkfisk


[tex] \frac{3 \cot30 }{2 \cosec30} [/tex]
Correct to two decimal places . Please help .​

Answers

9514 1404 393

Answer:

  0.02

Step-by-step explanation:

We assume your angle is in degrees:

  3cot(30°)/230 = 3√3/230 ≈ 0.02259

  ≈ 0.02 . . . . . rounded to 2 decimal places

__

This is a straightforward calculator problem. You may have to use one or another of the identities ...

  cot(30°) = 1/tan(30°) = tan(90° -30°) = tan(60°)

nagib spent a total of 640 last week including 128 he spent on groceries. What percentage was nagib total spending on groceries?

Answers

Answer:

20%

Step-by-step explanation:

To find the percent spend on groceries, take the amount spent on groceries over the total amount

128/640

.2

Multiply by 100 %

20%

The values of 9’s in 9905482

Answers

Answer:

9,905,482=

Million place

9,905,482=

one hundred thousandth

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