Find a 95% confidence interval for the true population proportion.

In a survey of 765 employees of a large company, 30% said that they had high job satisfaction.

Answers

Answer 1

Answer:

The 95% confidence interval for the true population proportion is (0.27, 0.33).

Step-by-step explanation:

The (1 - α)% confidence interval for population proportion of is:

[tex]CI=\hat p \pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information given is:

[tex]\hat p=0.30\\n=765\\\text{Confidence level}=95\%[/tex]

The critical value of z for 95% confidence level is, 1.96.

Compute the 95% confidence interval for the true population proportion as follows:

[tex]CI=\hat p \pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

    [tex]=0.30\pm 1.96\times\sqrt{\frac{0.30(1-0.30)}{765}}\\\\=0.30\pm 0.0325\\\\=(0.2675, 0.3325)\\\\\approx (0.27, 0.33)[/tex]

Thus, the 95% confidence interval for the true population proportion is (0.27, 0.33).


Related Questions

From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds?From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds?

Answers

Answer:

The answer is 50 or 55.

Step-by-step explanation:

Answer:

The answer is 50

Step-by-step explanation:

i did test on edg

Is x-x at infinity 0?

Answers

Answer: X/infinity tends to zero but never zero.

Probably incorrect, but I tried my best.

The probability of getting bonus points is 8/19

Answers

Answer:

11/19

Step-by-step explanation:

If the probability is 8/19, the reverse is 11/19. That is the odds.

Hope this finds you well on a cold day!  

Write the expanded form of the expression -1/6 (y-x)

Answers

Answer:
-1/6y+1/6x
hope it helps:)

Answer:

-1/6y + 1/6x

Step-by-step explanation:

Cassandra needs 5 1/2 yards of fabric to make her dress. she has 3 5/6 yards already. how much more does she need? Plz give explanation and correct answer. I will mark you brainliest.

Answers

5 1/2 - 3 5/6 = how much she needs
Make them into common denominator
11/2 = 33/6 - 23/6
33 - 23 = 10
10/6 = 1 2/3 yards

Which must be larger log 15 Or In 15? And why

Answers

Answer:

ln 15 must be greater (larger than) if log 15 is common.

Step-by-step explanation:

log 15 [assumed to be a common logarithm]

‹–› 15 = 10 ^ log(15)

ln 15 [natural log which has a base of e] ‹–› 15 = e ^ ln(15).

10 > e

e ≈ 2.7218.

e is approximately 3 rounded to the nearest whole number.

Logically you would need to raise 3 to a greater power for 3ⁿ = 15. Than 10ⁿ = 15.

For example 3² < 10² → 3³ < 10³ → 3⁴ < 10⁴ → ... Thus 3ⁿ < 10ⁿ for n > 0.

Write a linear equation that passes through the points (-3,3) and (9,-13).

Answers

Find the slope
(y2-y1)/(x2-x1)
(-13-3)/(9+3)
-16/9 = -1.333 repeating slope
Equation: y = 1.333x - 1

Is the following relation a function?

A. Yes
B. No

Answers

Yes............................

Answer:

Yes, it's a function.

Step-by-step explanation:

expand and simplify 3(2a+3b)+2(2a+2b)​

Answers

Answer:

=10a+13b

Step-by-step explanation:

Let's simplify step-by-step.

3(2a+3b)+2(2a+2b)

Distribute:

=(3)(2a)+(3)(3b)+(2)(2a)+(2)(2b)

=6a+9b+4a+4b

Combine Like Terms:

=6a+9b+4a+4b

=(6a+4a)+(9b+4b)

=10a+13b

What role do animals have in the carbon cycle?
Group of answer choices

use water and release oxygen

use sugar and release carbon

use carbon and release oxygen

use carbon and release nitrogen

Answers

I believe it is use sugar and and release carbon. We breath in oxygen so you know it can’t be anything where we release oxygen. And I don’t know how we could release nitrogen so I would go with the second one

Answer:

Animals eat plants, and when they do, they obtain the carbon. Later, they release that carbon by means of respiration. Fungus, Bacteria, Algae and other microorganisms create carbon when they decompose dead plants and animals.

Step-by-step explanation:

hope this helps

A new drug on the market is known to cure 30% of patients with cervical cancer. If a group of 18 patients is randomly selected, what is the probability of observing, at most, one patient who will be cured of cervical cancer?

Answers

Answer:

Probability cured of cervical cancer =  18C0 (0.30)⁰(0.70)¹⁸ +  18C1(0.30)(0.70)¹⁷

Step-by-step explanation:

Given:

Patients cured = 30% = 0.30

Number of patients (n) = 18

Probability cured of cervical cancer = P(X≤1)

Probability cured of cervical cancer  = P(X=0) + P(X=1)

Probability cured of cervical cancer =  18C0 (0.30)⁰(0.70)¹⁸ +  18C1(0.30)(0.70)¹⁷

Solve: -6n + 5 < 11
Wich graph shows the solution?

Answers

Answer:

The last graph

Step-by-step explanation:

You have to solve for n that is where you get the plot then you have to remember in inequalities if you divide by a negative you have to switch the sign. The inequality is not a less than or equal to or greater than or equal to so the plot would be an open circle. Because we switched the sign it goes down the left side of the graph because of the direction the sign is pointing to.

Answer:

second graph

Step-by-step explanation:

when you solve for the value of n, you will obtain

n=-1

introducing the sign

which is n>-1

hence the above response

If –3 + i is a root of the polynomial function f(x), which of the following must also be a root of f(x)? –3 – i –3i 3 – i 3i

Answers

Answer:

-3-i is the correct answer.

Step-by-step explanation:

If –3 + i is a root of the polynomial function f(x), Then -3 -i must also be a root of f(x)

What is a Root?

The root is the value where the given function will tends to zero.

How to determine?

If –3 + i is a root of the polynomial function f(x), Then -3 -i must also be a root of f(x)

Learn more about Roots:

https://brainly.com/question/10345879

#SPJ2

Find an equation of the sphere that passes through the point (6, -2, 3) and has center (-1, 2, 1). Find the curve in which the sphere intersects the yz-plane. Find the center and radius of the sphere

X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0

Answers

Answer:

A)  x^2 + 2x+ y^2 - 4y + z^2 - 2z - 63 = 0

B) radius = 5

center  = (4,-1,-3)

Step-by-step explanation:

[tex]x^2 + y^2 + z^2 - 8x + 2y + 6z + 1 = 0[/tex]

A ) Determine the curve in which the sphere intersects the yz-plane

determine the radius ( r ) =  √((6-(-1))2+(-2-2)2+(3-1)2) = √69

next the equation of the sphere ( curve in which the sphere intersects the yz-plane )

x^2+2x+y^2-4y+z^2-2z-63 = 0

B) determine the center and radius of the sphere

X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0

(x-4)2+(y+1)2+(z+3)2 = 25 = 52

radius = 5

center  = (4,-1,-3)

Any blinks here? if so.. what album should i get?

Theres more but they cant fit in one pic have a great night or good morning ​

Answers

Answer:

♡ hi there blink ♡

get the album! comes with a poster, etc.

it's great and it stands out from the rest  ☆

of the album they made. have a great day!

-madi/madeline

✧・゚: *✧・゚:・゚✧*:・゚✧・゚: *✧・゚:・゚✧*:・゚✧

Step-by-step explanation:


A school is electing students for class officers. There are four offices: president, vice president, secretary, and treasurer. The student with the most votes becomes president, second highest number of votes is vice president, and so on. If there are students in this class, how many ways can students be elected?

Answers

Answer:

84,264

Step-by-step explanation:

Answer:

84,264

Step-by-step explanation:

32. Parallelogram ABCD has vertices A(0,0), B(2,4), and C(10,4). Find the coordinates of D.
Answer:

Answers

Answer:

The fourth vertex is D(8, 0)

Step-by-step explanation:

Let A(0, 0), B(2, 4), and C(10, 4) be the three vertices of a parallelogram ABCD and let its fourth vertex be D(a, b).

Join AC and BD. Let AC and BD intersect at point O.

We have known that the diagonals of a parallelogram bisect each other.  

So, O would be the midpoint of AC as well as that of BD.

[tex]A\left(0,\:0\right)=\left(x_1,\:x_2\:\right)[/tex]

[tex]C\left(10,\:4\right)=\left(x_2,\:x_2\:\right)[/tex]

The midpoint of AC is:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(10,\:4\right)[/tex]

[tex]=\left(\frac{10+0}{2},\:\frac{4+0}{2}\right)[/tex]

[tex]=\left(5,\:2\right)[/tex]

The midpoint of BD is:

[tex]=\left(\frac{a+2}{2},\:\frac{b+4}{2}\right)[/tex]

so

∵  [tex]\frac{a+2}{2}=5[/tex]

[tex]a+2=10[/tex]

[tex]a=8[/tex]

∵ [tex]\frac{b+4}{2}=2[/tex]

[tex]b+4=4[/tex]

[tex]b=0[/tex]

Hence, the fourth vertex is D(8, 0)

is 39.81 rational or irrational

Answers

Answer:

its rational

Step-by-step explanation:

:)

Answer:

It is rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Math question on bottem

Answers

Answer
C
I could be wrong
Explanation

Answer:

12.56km

Step-by-step explanation:

circumference formula is C= 2(π)(r)

r= 2 so

C=2(π)(2)

C= 12.56

solve the answer for z if m cannot equal n

Answers

Step-by-step explanation:

Answer: The answer is [tex]z=\frac{mn}{(m-n)}[/tex].

Step-by-step explanation: 1. [tex]\frac{nz+m(-z)}{mn}=1[/tex], 2.[tex]\frac{nz-mz}{mn}=1[/tex]. 3. [tex]\frac{z(m-n)}{mn}=1[/tex]

4. [tex]zn-zm=mn[/tex]

5. [tex]z(m-n)=mn[/tex]

6. [tex]\frac{z(n-m)}{n-m}=\frac{mn}{m-n}[/tex], ∴ your answer should be:

[tex]z=\frac{mn}{(m-n)}[/tex], I hoped your answer is very helpful, please mark me as brainliest, and have a happy holidays, Abhinav!!!! :D

How does this step ensure that the new angle will be congruent to the original angle?

Answers

Iidkdndhwbwjwjw wiebwbwjw kanwkw

Write each decimal as a percent. 0.59 0.98 0.02 1.33

Answers

Answer: to find the percent equivalent, multiply the decimal by 100.

59%

98%

2%

133%

hope it helps!

Answer:

59%

98%

2%

133%

Step-by-step explanation:

0.59 × 100 = 59%

0.98 x 100= 98%

and same with the others

Pls look in file below for question

Answers

Answer:

the answer to the question is 7

can someone help me with this? I’m very confused and my results aren’t matching

Answers

You basically start at the start and whatever answer you get you go that way and if you get your answers right it should lead you to finish.

find the y-intercept and y-intercept of the line. x-2y=8​

Answers

Answer:

Input work is the work done on a machine as the input force acts through the input distance. This is in contrast to output work which is a force that is applied by the body or system to something else. Output work is the work done by a machine as the output force acts through the output distance.Jan 15, 2020 hshshsye bdbs dhd dhd dhd dh rge ege ehevehe

3.996 ➗ 1.2 =
plz help i need the answer

Answers

Answer:

3.33

Step-by-step explanation:

hope this helps!!

Answer:

3.33

Step-by-step explanation:

1.23 x 1.1 equals =

Answers

Answer:

1.23 x 1.1 = 1.32

can someone help me with this question thank you:)

Answers

Answer:

110 degrees

Step-by-step explanation:

since every triangles degrees add up to 180 all you have to do is find 1 and 3. since the 4 is 150 degrees and the line always has to add up to 180 3 is 30 degrees. then we add 2 and 3 which gets us 70. then 180 - 70 which is 110 so 3 is 110.

Help with 2 things plz I will give brainliest

Answers

Answer:

x is 3 y is 52        x is 50, y is 70

Step-by-step explanation:

1

we know y=14x=12x+6 since they are vertical angles, and correlating angles.

14x=12x+6

2x=6

x=3

subsitute x=3

y=14(x)   turns into y=52

x is 3 y is 52

2.

x+20=y  since alternate interior

y+2x+10=180    because they are supplementary

x+20+2x+10=180    subsitute  for y

3x+30=180

3x=150

x=50

50+20=y

70=y

bubba buys a $95 calculator on sale for 30% off. what's the discount and sales price?

Answers

firstly, we multiply 95 by 30% and divide it by 100.
95 * 30/100= 28,5

95-28,5= 66,5
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