The First National Bank of Wilson has 700 checking account customers. A recent sample of 50 of these customers showed 29 have a Visa card with the bank.

a. What is the margin of error for a 95% confidence interval for the population proportion? (Round your answer to 3 decimal places.)

b. What is the 95% confidence interval for the population proportion?

Answers

Answer 1

The margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).

What is the margin of error(MOE)?

It is defined as an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]

Where   Z is the z-score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We have:

n = 50, X = 29,

Estimate point p = 29/50 = 0.58

q = 1-p = 1-0.58 = 0.42

Z at 0.05/2 (95% confidence interval) = 1.96

[tex]\rm MOE = 1.96\sqrt{\dfrac{0.58\times0.42}{50}}[/tex]

After calculating:

MOE = 0.137

Confidence interval will be: (p - MOE, p+MOE)

= (0.58-0.137, 0.58+0.137)

= (0.443, 0.717)

Thus, the margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).

Learn more about the Margin of error here:

brainly.com/question/13990500

#SPJ1


Related Questions

In real life length can't be a?

Answers

Answer:

depends on where you look

A new website received 1700 hits within 10 hours of going live what is the maximum number of hits it might receive in 24 hours if this triend continues?

Answers

Answer:

4080 hits.

Step-by-step explanation:

By proportion that would be 1700 * 24/10

= 4080.

Calculate the volume of this cylinder, giving your answer to 1 decimal place.

Answers

Step-by-step explanation:

given radius r =20÷2=10

Height h=9

volume of cylinder

v= πr^2h = 22÷7 ( 10)^2 ×(9)

= 2828.571429.

hence the required volume of cylinder is 2828.571429

is 300 greater than 8/9?

Answers

Answer:

yes.

Step-by-step explanation:

300>8/9

300>0.888888889

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

      Is 300 greater than 8/9?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

Yes, 300 is greater than [tex]\bold{\dfrac{8}{9}}[/tex].

Remember, proper fractions (fractions with a numerator less than the denominator) are less than 1.

When comparing an integer (like 300) with a fraction (like 8/9), first you need to work out whether or not the fraction is a proper fraction.

Then, you also need to pay attention to the signs, because they may seem trivial, but they are in fact highly significant.

Therefore,

300>8/9 (300 is definitely greater than a number less than 1, right?)

(and the ">" sign means "greater than"

Good luck with your studies.

       [tex]\rule{200}{2}[/tex]

Hi can you answer theese 4 questions if they are correct I will give you brainily

Answers

Answer:

1. The answer for the first one is 7/8

2. the 1/4 is larger

3. the 1/2 inch tadapole is larger (note: the smaller the number is in fraction, the larger it is. If the number is larger in the bottom, the number in terms of fraction is smaller.

4. 3 inchies(sorry mispelling)

Step-by-step explanation:

3/8(total)+4/8 = 7/8

brainly points pls

Find equation of the straight line that passes through the point (-1,1) and is perpendicular to 2y = 3x +2

Answers

Answer:

3y = -2x + 1

Step-by-step explanation:

Equation of given line is 2y = 3x + 2

==> y = (2/2)x + 1

Slope = 3/2

Slope of perpendicular line is negative of reciprocal of given line ie slope = -2/3

So equation of perpendicular line is of the form

y = (-2/3)x + c where c is a constant

Given that this passes thru x= -1, y =1 we can substitute these values in the above to get

1  =  (-2/3)(-1) + c
This yields 1 = (2/3) + c or c = 1-2/3 = 1/3

So the equation of the perpendicular line is

y = (-2/3)x + 1/3

3y = -2x + 1

Find the equation of a line parallel to y - 5 = 6x - 10 that passes through the point (4, 10). (answer in slope-intercept form) A) y = 6x - 14 B) y = 6x + 14 C) y = -6x - 14 D) y = 1 6 x - 14

Answers

             - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

               Find the equation of a line parallel to y-5=6x-10 that passes through (4,10)

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]

❖ If lines are parallel to each other, they have the same slope.

So the slope of the line parallel to y-5=6x-10 is 6.

Now, since we're also given the point crossed by the line, we write the equation in point-slope form:-

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

Substitute 10 for y₁, 6 for m and 4 for x₁:-

[tex]\sf{y-10=6(x-4)}[/tex]

On simplification,

[tex]\sf{y-10=6x-24}[/tex]

Adding 10 to both sides results in:-

[tex]\sf{y=6x-14}[/tex]

So we conclude that Option A is correct.

Good luck.

         - -  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

3.1.2 The sum of 3 numbers is equal to 37. The second number is
twice the first number and third number is 3 less than the second
(3)
number. What is the first number?

Answers

Answer:

8

Step-by-step explanation:

Let's take the first number as X.

Then,

X+2X+(2X-3)=37

5X=37+3

5X=40

X=40/5

X=8

First number=8

Find the area K of the triangle.
a=4, b=5, C = 25°
K=
square units
(Round to two decimal places
as
needed.)

Answers

Answer:

  4.23 square units

Step-by-step explanation:

The area of the triangle is given by the formula ...

  K = 1/2ab·sin(C)

__

Filling in the given values, we find the area to be ...

  K = 1/2(4)(5)sin(25°) = 4.23 . . . . square units

Is it SSS, SAS, ASA, SAA, or HL?

Answers

Answer:

it’s SAA

Step-by-step explanation:

ur wlcm, i am sure of my answer

brainliest please?

Is AABC™ADEF? If so, identify the similarity postulate or theorem that
applies.

A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined

Answers

Answer:

A. Similar - AA

Step-by-step explanation:

The AA similarity postulate states that two triangles are similar if they have two congruent corresponding angles.

The triangles in the picture have two corresponding congruent angles.

Similar triangles may or may not be congruent

The true statement is (a) Similar - AA

What is triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

From the complete question, we have the following highlights about the triangles

The angles at points A and D are congruent (85 degrees)

The angles at points B and E are congruent (30 degrees)

This means that the triangles are similar.

The similarity theorem is the AA theorem i.e. Angle-Angle

Hence, the true statement is (a) Similar - AA

Read more about similar triangles at:

brainly.com/question/14285697

#SPJ2

Steve cycled 35 miles in 2 1⁄2 hours. What is the average speed that Steve traveled?

Answers

Answer:49 miles per hour

Step-by-step explanation: 14 miles times 35 miles = 490

but the 0 will not matter so steve was going 49 miles per hour

HOPE THIS HELPS YOU:)

how much greater is 8 x 10 to the 5 power then 8 x 10 to the -1 power

Answers

Answer:

8x10 to the 5 power is 8,000,000 and 8x10 to the -1 power is .8

Step-by-step explanation:

To solve the first problem, you multiply 8 and 10 which gives you 80. Next you move the decimal point 5 spaces to the right which gives you 8,000,000. To solve the second problem, you multiply 8 and 10 which gives you 80. Because you have a negative power you move your decimal point to the left 1 space which gives you .8

simplify the expression
5(m+1) -1 =

Answers

We would distribute the 5,
5(m+1) - 1 = 5m + 5 - 1

5m + 4

Answer:

We would distribute the 5,

5(m+1) - 1 = 5m + 5 - 1

5m + 4

Step-by-step explanation:

Pls ingore all of the questions below, but help me with the attached image
What is the only number that has the same number of letters as it's meaning? ...
What number doesn't have its own Roman numeral? ...
What is the only even prime number? ...
What is the smallest perfect number? ...
What is our current numerical system based on? ...
Is Pi a rational or irrational number?

Answers

Answer:

t = 110°

Step-by-step explanation:

Triangle BCD is isosceles, so its base angles are congruent. This means m<CBD = m<CDB. Since m<CBD is 35, m<CDB is also 35.

The sum of angles in a triangle is 180, so the following equation can be written:

180 = m<CBD + m<CDB + m<BCD

We can substitute m<CBD and m<CDB with 35 and m<BCD with t and solve:

[tex]180 = 35 + 35+ t\\180=70+t\\t=110[/tex]

So t = 110°

find the volume of a right prism with base area 32 cm² and height 1.5 cm

Answers

Answer:

1536

Step-by-step explanation:

volume=baseareaxheight

. =32cmsquarex1.5cm

. =1536cm

If the answer is correct please vote



Can someone help me with this? Please and thankyou!!

Answers

The Answer is B because of the order of operations

4.) Which of the following correctly describes the line y = 5?
(1) It is parallel to the x-axis
(2) It is parallel to the y-axis
(3) It is diagonal with a slope of
(4) It has no y-intercept

Answers

1. It is parallel to the x-axis.

Answer:

It is parallel to the x-axis

Step-by-step explanation:

................

The graph below could be the graph of which exponential function?
A. F(x) = 3x
B. Fx) = 3 • (1.4)^x
O C. F(x) = 3•(0.4)^x
O D. F(x) = 3 • (-1.4)^x

Answers

Answer:

The correct option is B.

Step-by-step explanation:

The only given function that is an exponential decay function is;

B. Fx) = 3 • (1.4)^x

What is Exponential decay function?

Now, the general formula for exponential decay function is;

f(x) = abˣ

where b is the decay factor.

here, we have,

we know that,

Now, the decay factor which we will call the base of the exponent must be greater than 1 .

and, we have,

Also, the exponent x must be negative to be called an exponential decay function.

so, from the given graph we get,

Looking at the given options, only Option B meets the criteria for an exponential decay function.

The only given function that is an exponential decay function is;

B. Fx) = 3 • (1.4)^x

Read more about exponential decay function at; brainly.com/question/4681369

#SPJ5

James has $150 in savings and earns an additional $50 per week, w, cutting grass. Which equation represents the total, t, in his account?​

Answers

Answer:y=50x+150

Step-by-step explanation:

50x is the variable that will change the amount of money he has each week. 150 is the amount he currently has

What is the area of triangle TUV?

Answers

Answer:[tex]5.25cm^2[/tex]

Step-by-step explanation:

The equation of finding the area of a triangle is 1/2 base x height so the base is 7 and the height is 1.5. The slant of the triangle doesn't change the area and those measurements are just there to confuse you. so just input the measurements to get:

1/2 x 7 x 1.5 = 3.5 x 1.5 = 5.25cm^2

The area = [tex]5.25 cm^2[/tex]

2. The bases of the trapezisid (x-14) cm and (x+2) cm ats medien is 30 cm long, how long is the shorter base​

Answers

Answer:

22cm

Step-by-step explanation:

Formula:

MEDIAN = 1/2(B1+B2)

Solution:

30= 1/2[(x-14)+(x+2)]

x = 36 cm

B1= 36-14 = 22 cm (shorter base)

B2= 36+2 = 38 cm (longer base)

The Shorter Base is 22cm.

Calculus, factor the given polynomial.

Answers

Answer:

( x-7) (x-9)

Step-by-step explanation:

x^2 -16x+63

What are the possible number that multiply to 63 and add to -16

-9 * -7 = 63

-9+-7 = -16

( x-7) (x-9)

(X-7)(x-9) are the factors for the polynomial

Can someone please help me with this

Answers

Answer:

First step, find the missing angle (you will need this later on)

We know that the sum of all angles in a triangle equals to 180°, so

180° - 65° - 40° = 75° *that's your angle (next to the point L)

Now, identify each side (as shown in my drawing attached to this message)

The law of sines tells us that

(for example) the side opposite to L (highlighted in pink in the drawing) divided by the sine of the angle at the point L (in our case, 75°) creates a ratio that remains the same for the other sides.

So,  

pink side (opposite to L)/ sin 75 (angle at L) = yellow side (opposite to J)/ sin 65 (angle at J) = blue side (opposite to K)/ sin 40 (angle at K)

*Careful, since we were not given the length of one side, you cannot find actual values for each side. Although, you can use the law of sines to logically find out which length is the longest and which one is the shortest.

*Notice that the sine of the angle relates to the length of the coloured sides

Calculate the following: sin 75, sin 40, sin 65.

Once you do that, you will realize that sin 40 = to the smallest value and that sin 75 gives you the largest value.

Thus, sin 40 < sin 65< sin 75

Which corresponds to (from smallest to largest):

blue side, yellow side, pink side

*Now, write your answer in a mathematical format (using J,L,K points)

blue = JL (explanation: it connects the two points, LJ is also a valid answer)

yellow = LK

pink= JK

ANSWER: JL, LK, JK

Step-by-step explanation:

Use the Law of Sines *because you don't have a right angle triangle.

Which polynomial function gets larger and larger in the negative direction as x gets
larger and larger in the negative direction?
A./(x) = 5x² - 2x+1
B./(x) = 6x³+4x² - 15x+32
G./(x) = 7x"=2x+3x²+8x-10
D. /(x) = 8x6 +- 1

Answers

Answer:

f(x) = 8x^6 + 1

Step-by-step explanation:

We want to examine which polynomial function grows larger and larger as the negative variable rises. We'll see that option d is correct: f(x) = 8x6 + 1

There are two things to keep in mind here.

The polynomial grows quicker as the exponent increases.

When a negative integer is evaluated with an even exponent, the result is always positive.

Then all the polynomials with an even leading exponent become larger and larger as x grows in the negative direction, especially the one with the biggest leading exponent, which is:

Evaluate the equation. H divided by 3 = 69 2/3

Answers

Answer:

138

Step-by-step explanation:

Do the inverse. 69 2/3 multiplied by 3 is 138.

Need help thank you

Answers

D. - times the square root of 5 because the negative acts as a negative 1

mZR
R
S
10x - 8
98 °
12x + 4
Q
T

Answers

Answer:

m∠R = 72°; m∠U = 65°

Step-by-step explanation:

We know that in any quadrilateral, the total sum of the angles will always add up to 360°.

For number 26, we can use this equation to find x and m∠R:[tex]90+98+12x+4+10x-8=360\\(90+98+4-8)+(12x+10x)=360\\184+22x=360\\22x=176\\x=8[/tex]

m∠R = 10 (8) - 8 = 80 - 8 = 72°

For number 28, we can use this equation to find x and m∠U

[tex]96+88+11x+1+7x-5=360\\(96+88+1-5)+(11x+7x)=360\\180+18x=360\\18x=180\\x=10[/tex]

m∠U = 7 (10) - 5 = 70 - 5 = 65°

denny's average heart rate is 120 beats per minute what is the ratio of his heart beats per minute with heart beat per second?​

Answers

Ratio of heart beats per min with heart beats per second is -> 120:2

Help me plsssssssssssssss

Answers

2:2/3=>1:1/3=>3:1

15/2:2*1/2=>15/2:5/2=>3:1

2*1/2:5/6=>5/2:5/6=>1/2:1/6=>3:1

I hope this answer helpful. If you don’t understand ask me in comment.
Other Questions
Find the value of x. | x- ( - 18) | if x < - 18 Please help me on this question Can someone please help me? In January Caleb could do 12 pushups. In May Caleb could do 15 pushups. By what percent did he increase the number of pushups he could do? Find the theoretical probability of choosing perfect squares from the natural numbers from 2 to 100inclusive. Numbers are written on the back of calenders that are given out to customers at a grociery store. Each month a number is drawn for a customer to win a gift card. Is it a random sample or a sample and why Which american worked to improve conditions for farm workers?a. jim thorpeb. dolores huertac. yo-yo mad. mary mcleod bethune Need help with these questions please It is known that a certain function is an inverse proportion. find the formula for this function if it is known that the function is equal to 12 when the independent variable is equal to 2. er: if the independent variable is x, dependent variable is y, then y = How did the rise of nationalism influence the global community in the 20thcentury? Start with 360. Increase by 15%.Start with 480. Decrease by 10%. What are some 5 mesmerizing facts about Saturn planet ? What is 48 times 22 1/2 times 32 equal to? Write the equation of the line in fully simplified slope-intercept form. If a soldier saluted, what did she do?OShe cooked a meal over a fire.She planned a course of attack.She fired her gun at the enemyShe raised her hand to show respect.? Which of the following is NOT a sentence fragment?Rather than arrive late to work again.R ather , than arrive late to work again.Before I went to the game last night.Before I went to the game last night.Sandy went home and made a cherry pie for the bake sale.Sandy went home and made a cherry pie for the bake sale.Even though it was raining hard outside.Even though it was raining hard outside. How does mutated DNA compare to unmutated DNA?A: It is identical to the original strand.B: It is single-stranded instead of double-stranded.C: It is broken instead of continuous.D: It is different than the original strand NEED HELP ASAAAAP(WIll GIVE BRAINLIEST)What is the formula of g in terms of f?A.f(x+2)B.f(x)-2C.f(x)+2D.f(x-2) Describe the process of coronary circulation.