A simple random sample of 400 individuals provides 100 Yes responses. a. What is the point estimate of the proportion of the population that would provide Yes responses? b. What is your estimate of the standard error of the proportion, p?

Answers

Answer 1

Answer: a.  0.25

b. 0.02165

Step-by-step explanation:

Given: sample size : n= 400

Number of individual respond Yes = 100

a. The proportion of the population respond Yes = \(\dfrac{100}{400}=0.25\)

Sample proportion is the best point estimate of the proportion of the population.

Hence, the point estimate of the proportion of the population that would provide Yes responses : p= 0.25

b. Standard error =  \(\sqrt{\dfrac{p(1-p)}{n}}\)

 \(=\sqrt{\dfrac{0.25(1-0.25)}{400}}\)

 \(=\sqrt{\dfrac{0.25(0.75)}{400}}\)

\(=\sqrt{\dfrac{0.1875}{400}}\)

\(=\sqrt{0.00046875}=0.02165\)

Hence, the estimate of the standard error of the proportion, p = 0.02165


Related Questions

PLEASE HELP!!!!!!!!!!!!!

PLEASE HELP!!!!!!!!!!!!!

Answers

The answer is approximately 242.2!
Hope this helps!

Ms. Florina buys a bag of different-colored rubber bands. She randomly selects a rubber
band, records the color, and returns it to the bag. She does this a total of 50 times
and selects 8 red, 18 blue, 10 green, and 14 yellow rubber bands.
Based on this information, what is the probability that Ms. Florina will select a blue rubber
band, return it to the bag, and then select a green rubber band?
Click the arrows to choose an answer from each menu.
Based on the given information, the probablity that Ms. Florina will select a blue rubber band is
Choose... and the probability that she will select a green rubber band is
Choose... The probability that she will select a blue rubber band, return it to the bag,
and then select a green rubber band is Choose...

Ms. Florina buys a bag of different-colored rubber bands. She randomly selects a rubberband, records

Answers

Answer:18/25 1/5 14/25

Step-by-step explanation:

The probability we have to choose 18/25 1/5 14/25.

Ms. Florina buys a bag of different-colored rubber bands. She randomly selects a rubber.

band, records the color, and returns it to the bag. She does this a total of 50 times.

and selects 8 red, 18 blue, 10 green, and 14 yellow rubber bands.

Based on this information, what is the probability that Ms. Florina will select a blue rubber

band, return it to the bag and then select a green rubber band

Click the arrows to choose an answer from each menu.

What is the formula for probability?

It is expressed as, Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).

Based on the given information, the probability that Ms. Florina will select a blue rubber band is,

Therefore the probability we have to choose 18/25 1/5 14/25.

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what is 14365 round to the nearear hundred​

Answers

Answer:

a. 2 – 8 - [- 4 – (-6 + 3 -9)] X ( -10 ÷2) suprimir los signos de agrupacion

Step-by-step explanation:

Can someone help me plz!!!!!!!!!!!!!!!!

Can someone help me plz!!!!!!!!!!!!!!!!

Answers

Answer:

12% I’m not sureeee

Step-by-step explanation:

Adriana gather data and different schools winning percentages and the year average year salary of their head coaches is in millions of dollars in the years 2000 to 2011 sheet then created the following scatterplot and regression like the fitted line has a Y intercept of 39

Answers

Answer:

(B) The model indicates that teams with coaches who had a salary of 000 million dollars will average a winning percentage 39%, percent.

Step-by-step explanation:

i just did the question

Answer:

The model indicates that teams with coaches who had a salary of 0 million dollars will average a winning percentage of 39% percent.

Step-by-step explanation:

its correct on khan :)

Choose the variable.
A 31
B m

Answers

Answer:

B. m

Step-by-step explanation:

Hey there!

A variable is an unknown quantity in an equation or problem.

For example, the problem 3x=15

We want to find out what times 3 will give us 15. x is our unknown quantity.

Hope this helps you! Feel free to comment any questions you may have for me!

Answer:

m because it can be changed

Step-by-step explanation:

please mark me as brainlest

William was out at a restaurant for dinner when the bill came. His dinner came to $31. After adding in a tip, before tax, he paid $39.99. Find the percent tip.

Answers

Answer: 12.9

Step-by-step explanation: Divide 39.99 by 31.00 you'll get 1.29, but you slide the decimal over and get 12.9

URGENT HELP PLEASE!!!! I NEED HELP NOW

URGENT HELP PLEASE!!!! I NEED HELP NOW

Answers

Answer:

(f/g)(x) = \(\frac{2x^2-5}{3x+2}\) x can not equal -2/3

Step-by-step explanation:

(f / g) is telling you to make f the numerator and g as the denominator.

It also wants you to state the domain restriction. When you divide by something, remember you can not divide by 0 under any circumstances. This means, you need to find what combination of x values will result in the denominator equaling 0.

(f / g) (x)

\(\frac{2x^2-5}{3x+2}\)

Domain restrictions

As you can see here, our denominator is: 3x+2. What set of x values will result in 3x+2 equating to zero? To find this, set up the equation so that it equals zero.

\(3x+2=0\\3x+2-2=0-2\\3x=-2\\3x/3=-2/3\\x=-\frac{2}{3}\)

If you are not sure, replace x with the value you came up with.

To check, replace x with -2/3

\(3(-\frac{2}{3})+2=0\\-2+2=0\\0=0\)

how do you solve 15 divided by 2/9

Answers

Answer:

67.5 or 67 1/2

Step-by-step explanation:

15   ÷              2

         ___________            

                   9

The numbers in 15 divided by 2/9 are labeled below:

15 = whole number

2 = numerator

9 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

15 x 9 2  =     135

                       ____

                          2

Thus, the answer to 15 divided by 2/9 in fraction form is:

 135

_____

   2

To make the answer to 15 divided by 2/9 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

135 / 2 = 67.5

The answer is rounded to the nearest two decimal points if necessary.

135/2 is an improper fraction and should be written as 67.5 or 67 1/2.

Hope this helps, have a nice day/night! :D

Answer:

67.5

Step-by-step explanation:

15 = 135/9

135/9 x 9/2 = 15 x 4.5 = 67.5

            9/2 = 4.5

Brainliest?

help me please please please

help me please please please

Answers

The angle measures for this problem are given as follows:

a = 62º.b = 118º.c = 62º.d = 62º.

How to obtain the angle measures?

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

c = 62º.d = 62º.

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Find x on this special right triangle

Find x on this special right triangle

Answers

Answer:

the ans is 45⁰ BC it is a right angle

Step-by-step explanation:

Is this a trigonometry ratio

Find the equation of the line that passes through the point (-3, -4) and (5, -4)

Answers

Answer:

y=-4

Explanation:

you have to use the equation y₂-y₁/x₂-x₁ and what ever answer you get from this equation will be your slope

The function P(w) - 5,673w-1,354 models the relationship between a diamond's weight, w, in carats,
and its price, P, in dollars. Find P(2)

Answers

Answer: 9992

Step-by-step explanation:

\(P(2)=5673(2)-1354=9992\)

Find the value(s) of "k" that will cause the equation 4x^2 +kx + 4 to have one real solution.

Answers

Answer:  k = {8, -8}

Step-by-step explanation:

In order for a quadratic equation to have exactly one solution, the discriminant must equal zero.       →        b² - 4ac = 0

  4x² + kx + 4 = 0

  ↓       ↓      ↓

a=4    b=k    c=4

b² - 4ac = 0

k² - 4(4)(4) = 0

k²             = 64

           k = √64

           k = ± 8

Nick walked 5 miles to reach his aunt's house. From there he traveled 8 miles to the shopping mall on a bicycle. He traveled 80% faster on the bicycle than on foot. Let r represent his rate of walking in miles per hour. Identify the expression that represents the number of hours Nick took to reach the shopping mall in terms of r. Then find the time taken by Nick to reach the shopping mall if he walked at an average speed of 3 miles per hour

Answers

The number of hours Nick took to reach the shopping mall in terms of r  is ; 3.14  hours.

What is rate?

Rate is a measure of a quantity using another quantity as the basis.

Analysis:

speed travelling on foot = r

distance travelled on foot = 5 miles

time taken = 5/r

speed travelling on bicycle 80 percent faster than on foot is 1.8r

distance travelled on bicycle = 8 miles

time taken = 8/1.8r = 40/9r

total time taken to get to the mall = 5/r + 40/9r = 85/9r

speed while walking = 3 miles per hour = r

time taken = 85/9 x 3 = 3.14 hours

In conclusion, number of hours Nick took to reach the shopping mall in terms of r is 85/9r is 3.14  hours.

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Answer:

3 hours 9 minutes

What is the solution set of x2 – 10 = 30x?

{–220, 250}
{–250, 220}
{15 – StartRoot 235 EndRoot, 15 + StartRoot 235 EndRoot}
{–15 – StartRoot 235 EndRoot, –15 + StartRoot 235 EndRoot}

Answers

9514 1404 393

Answer:

  (c)  {15 -√235, 15 +√235}

Step-by-step explanation:

For solutions p and q, the trinomial is ...

  (x -p)(x -q) = x² -(p+q)x +pq

That is, the constant term (-10) must be the product of the roots, and the x-coefficient (-30) must be the opposite of their sum.

The sums of roots in the answer choices are ...

  a) 30

  b) -30

  c) 30

  d) -30

We know the sum of roots is 30, so we can eliminate choices 'b' and 'd'.

The product of the roots must be -10, eliminating choice 'a'. Thus, the only viable choice is C.

_____

The product of the roots of C is ...

  (15 -√235)(15 +√235) = 15² -235 = -10 . . . . as required

Answer:

C

Step-by-step explanation:

Using the formula Distance= rate ⋅time Distance= rate⋅ time, find the distance covered by an airplane flying at 550 mph for 4 hours miles.

Answers

Given

rate at which airplane is flying is 550mph for 4 hours.

Required

we need to find the distance covered by air plane

Explanation

Here

\(\begin{gathered} distance=rate\times time \\ so\text{ }distance=550\times4=2200\text{ miles} \end{gathered}\)

so the required distance is 2200 miles.

A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to have enough space inside so they can also be used to store props.

A theater wants to build movable steps that they can use to go on and off the stage. They want the steps

Answers

The required amount of the space available is 0.045 cubic meter.

We need to determine Space inside the steps.

What is volume?

The Volume is defined as the mass of object per unit density.

The required space = 0.3*0.4*0.5 - 0.15*0.5*0.2

                                 =  0.06 - 0.015

                                 =    0.045 cubic meter

Hence, the required amount of the space available will be 0.045 cubic meter.

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The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100

Answers

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

I need help where do I plot the point help asap please

I need help where do I plot the point help asap please

Answers

Answer:

Plot the point at the minimum of the graph.

Step-by-step explanation:

If you keep moving the graph down, pick the point with the lowest y value that is still on the blue.

Determine whether a statement is True or False. If it is False, provide an explanation or give an example:

Answers

Complete Question:

Determine whether the statement is true or false. If it is false, provide an explanation or give an example.

If f is decreasing on [a,b] then the minimum value of f(x) on [a,b] is f(a)?

Answer:

False

Step-by-step explanation:

Given

[a,b]

Where f(x) is decreasing

Required

Is the minimum f(a)?

This statement is false and it is proved using the following illustration

Take f(x) to be

\(f(x) = -2x\)

The above represents a decreasing function because:

f(x) decreases as x increases

Having said that:

Assume [a,b] is:

\([a,b] = [2,5]\)

Substitute the value of a i.e. 2 for x in f(x)

\(f(2) = -2 * 2\)

\(f(2) = -4\)

Substitute the value of b i.e. 5 for x in f(x)

\(f(5) = -2 * 5\)

\(f(5) = -10\)

Notice that f(b) < f(a) i.e. -10 is less than -4

Hence:

f(x) is minimum at f(b)

Conclusively, the statement is false

g(x) = 2x
f(x) = -2x + 2x
Find g(x) + f(x)

Answers

Step-by-step explanation:

f(x) = 0

-2x + 2x is always 0.

so, g(x) + f(x) = g(x) + 0 = g(x) = 2x.

long proof :

g(x) + f(x) = 2x + -2x + 2x = 2x

Can someone plz help me solved this problem I need help plz help me! Will mark you as brainiest!

Can someone plz help me solved this problem I need help plz help me! Will mark you as brainiest!

Answers

Answer:

4

4

Step-by-step explanation:

x litres of 15% solution + y litres of 19% solution= 8 gallons of 17% solution

disinfectant content of the final solution= 8*0.17= 1.36 gallons

0.15x+0.19y=1.36

x+y= 8 ⇒ x=8-y

0.15*(8-y)+0,19y= 1.361.2-0.15y+0.19y=1.360.04y=0.16y= 0.16/0.04y=4 gallonsx= 8-4= 4 gallons

Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21​

Find the missing side. 31 Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21

Answers

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Find the PERCENT of Change.
The original cost was $50 and the new cost is $200.

Answers

amswer:
75%

explanation:

Answer:

300%

Step-by-step explanation:

To find percent change we need to use this formula:

\(change = \frac{Amount of change}{Original} * 100\)

To find the amount of change we need to minus 50 from 200:

200 - 50 = 150

Now that we have the amount of change we can plug it in to the equation with the original amount (50):

\(change = \frac{150}{50} = 3 * 100 = 300\)

Therefore, the percent of change is 300%.

I hope this helps!!

- Kay :)

what the answer for this area?

what the answer for this area?

Answers

Answer:

the answer is 105

Step-by-step explanation:

because 5×3=15 so 15×7 =105

Can you please help me

Can you please help me

Answers

9514 1404 393

Answer:

x = 65°y = 32.5°

Step-by-step explanation:

ΔBCD is isosceles, so ∠CDB = ∠CBD = x. The sum of angles in the triangle is 180°, so you have ...

  x + x + 50° = 180°

  2x = 130° . . . . . . . . . subtract 50°, collect terms

  x = 65° . . . . . . . divide by 2

__

Triangle ABC is also isosceles, so ∠BAC = ∠BCA = y. Angle ABC is the supplement of angle x. The sum of angles in ΔABC is 180°:

  y + y + (180° -x) = 180°

  2y - 65° = 0 . . . . . . . . . . subtract 180°, substitute the value of x

  y -32.5° = 0 . . . . . . . divide by 2

  y = 32.5° . . . . . . . . . . add 32.5°

A president and vice-president for a student organization are chosen from eleven people. How many different president/vice-president combinations are possible

Answers

Answer:

fuioiijhhuiojjhsfjl chhjbvdguk

find the intros were the function Y equals X +2+0, whose graph is given below its increasing and where is decreasing in find the value of the absolute minimum.

find the intros were the function Y equals X +2+0, whose graph is given below its increasing and where

Answers

For the absolute function given,

The intervals where a function is increasing correspond to the intervals where its derivative is positive.

The intervals where a function is decreasing correspond to the intervals where its derivative is negative.

The function

\(y=|x+2|+0\)

Decreases in the interval:

\((-\infty,-2)\)

It Increases in the interval

\((-2,\infty)\)

The smallest value that a mathematical function can have over its entire curve

The function has an absolute minimum at

\(y=0\)

50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45 which of the following histograms is the best representation of the data?

Answers

The best way to represent histograms is by decreasing to increasing order.

The mean is the arithmetic mean and is calculated by adding a group of numbers and dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

Given the values:

50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45

We have that:

(22+24+28+28+30+31+31+32+32+35+36+37+38+41+42+42+44+44+45+46+46+47+47+49+50)/25=37.88.

The average age that a large construction company wants to know is 38.

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