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).

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Related Questions

for a Saturday matinee, adult tickets cost $5.50 and kids under 12 pay only $4.00. If 70 tickets are sold for a total of $355, how many of the tickets were adult tickets and how many were sold to kids under 12?

Answers

Let x be tickets for adults
Y be tickets for kids under 12, then
5.5x + 4 y = 355 ,
x+y = 70=>(y = 70-x)
5.5x + 280-4x=355
1.5x=75
X=50
Y=20

Miguel is flying a kite, holding his hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 25


. If the string from the kite to his hand is 150 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

66.9 ft

Step-by-step explanation:

Kite string forms a right triangle with the horizontal 3.5 feet off of the ground

sin 25  = opp / hyp  = height / 150

sin 25 = height / 150

150 sin25 = height      but it is 3.5 feet off of the ground...add that in

3.5  + 150 sin25 = true height = ~ 66.9 ft

I need help with my homework​

Answers

Answer:

y = 50x + 900

Step-by-step explanation:

I used the slope formula (y = mx + b). y represents the total money she earns each month

Stephanie is helping a midwife weigh new-born babies. The scales are in pounds but the sheet she has to complete is in kilogrammes. The baby weighs 8.06 lbs. When she converts this on a calculator the display reads 3.65595152. What is this in kilogrammes to 3 decimal places?

Answers

The weight of baby in kg is, 3.659 kg.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The baby weighs 8.06 lbs.

Now, We know that;

⇒ 1 pound = 0.454 kg

Hence, The weight of baby in kg is,

⇒ 8.06 pounds = 8.06 × 0.454 kg

                        = 3.659 kg

Thus, The weight of baby in kg is, 3.659 kg.

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Identify the intercepts of the graph.

Answers

Answer: X-ints = (-1,0) and Y-ints = (1,0)

Step-by-step explanation:


This is quite simple. The way to solve this problem is by visualization, if you have learned how coordinates are created, this is how you would do it.

In a 2D plane, you have an X and Y axis and coordinates are created in the form of (X,Y).


by simply looking at the graph, I can see how the line crosses the positive 1 in the Y-axis, and -1 in the X-axis.

Part A) asks to find the X-intercept(s) which as stated above, it croses -1 on the X-axis and 0 on the Y-axis. Therefore the intercept is:


(-1,0)


part B) asks the same but for the Y-intercepts. We look at the graph and see the line crosses positive 1 in the Y-axis, and 0 in the X-axis. So:


(0,1)


done :)

Anyone know the answer to 4 1/6 + 3/4? The final result should be a mixed number.​

Answers

Answer:

=59/12 or 4.92 or 4 11/12

Step-by-step explanation:

4 1/6 + 3/4

=25/6 + 3/4

=59/12 or 4.92 or 4 11/12

HELPPPPPPPPP!!!!!!!!!!!!!!!!

Answers

Answer = (-4,1)
See picture for reason

Can someone answer theese 3 questions i will give brainliest

Answers

Answer:

#3

A

#2

D

#1

B

Hope this helps

Answer:

1.) 10/16 = 5/8  

2.) 14/16 = 2 7/8

3.) 6/16 = 1 3/8

Step-by-step explanation:

Just count the lines.

A glacier is moving at a rate of 5 ft per year. At this rate, how long will it take the glacier to travel 1 mi? Hint: 1 mi = 5,280 ft​

Answers

1,056 years for it to travel 1 mile

Hello, help me please with explanation)

Answers

Answer:

hope this will help you sorry if the answer is wrong

Solve for x. Round to the nearest tenth.​

Answers

Answer:

x = 25.84

Step-by-step explanation:

Secx = hyp /adj

Secx = 30/27

x = ArcSec(30/27)

x = 25.84

Work out 2/15 of 5 Give your answer as a fraction in its simplest form.​

Answers

Answer:

2/3

Step-by-step explanation:

2/15 of 5

Of means multiply

2/15 * 5

Multiply the numerators

2*5 = 10

Put over the denominator

10/15

We can divide the top and bottom by 5

10/5 =2

15/5 =3

2/3

Answer:

Step-by-step explanation:

Help with functions!! Thank you!!

Answers

Answer:

(s - t)(x) = 4x^2 - x - 5

(s + t)(x) = 4x^2 + x + 5

(s * t)(-1) = 16

Step-by-step explanation:

(s - t)(x) is simply the same as s(x) - t(x)

(s + t)(x) is simply the same as s(x) + t(x)

(s * t)(x) is simply the same as s(x) * t(x)

(s - t)(x) = s(x) - t(x) = 4x^2 - (x+5) = 4x^2 - x - 5

(s + t)(x) = s(x) + t(x) = 4x^2 + (x+5) = 4x^2 + x + 5

(s * t)(-1) = s(-1) * t(-1) = 4(-1)^2 * (-1+5) = 4 * 4 = 16

31. (05.08 MC)
What is the equation for a geometric sequence with a first term of 3 and a second term of -9?

Answers

Answer:

[tex]a_n=3(-3)^{n-1}[/tex]

Step-by-step explanation:

Geometric sequence

General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]

where:

[tex]a_n[/tex] is the nth terma is the first termr is the common ratio

Given:

[tex]a_1=3[/tex][tex]a_2=-9[/tex]

To find the common ratio r, divide consecutive terms:

[tex]\implies r=\dfrac{a_2}{a_1}=\dfrac{-9}{3}=-3[/tex]

Therefore, the equation is:

[tex]a_n=3(-3)^{n-1}[/tex]

H
3.
6x
++
For this rectangle, find x.
15
180
90
6
k

Answers

Answer:

x =15

Step-by-step explanation:

its a rectangle all interior angles must be equal to 90 so 6x=90

divide by 6 to get x on its own and you get 15

Order the following from least to greatest.

0.98, 3/5, 4, 1/2, 0.4

Answers

Answer:

.4, 1/2, 3/5, .98, 4

Step-by-step explanation:

give me brainliest please

what is the positive solution of 3x^2-10-8=0?

Answers

Answer:

x=4

Step-by-step explanation:

I'm going to assume the question has a typo and that the question is actually [tex]3x^2 -10x-8=0[/tex].

You can simplify this to:

[tex](3x+2)(x-4)=0[/tex]

This leaves the solutions [tex]x=-\frac{2}{3}[/tex] and x=4

The only positive solution therefore is x=4

Answer:

The answer is 4

Step-by-step explanation:

Use the improved quadratic formula (https://socratic.org/algebra/quadratic-equations-and-functions/quadratic-formula)

D=d^2=b^2-4ac=100+96=196⇒d±14

There are 2 real roots: x=-b/2a±d/2a=10/6±14/6=5/3±7/3

The positive real root is : 12/3=4

I need help!!! Solve the equation 7= -10s -3

Answers

Answer:

s = -1

Step-by-step explanation:

7 = -10s -3 <== add 3 to both sides

+3        + 3

10 = -10s <== divide both sides by -10

/-10    /-10

-1 = s

Final answer: -1 = s  or  s = -1

Hope this helps!

If x and y vary inversely, and y =6 when x=7, what is the constant of variation

Answers

Answer:

x alpha 1/y

: Introducing a constant k

x = k/y

where x = 7, y= 6

7 = k / 6

Cross Multiply

K ( constant) = 42

Answer: k = 42

Step-by-step explanation:

Formula = [tex]y = \frac{k}{x}[/tex]

plug in values:

6 = [tex]\frac{k}{7}[/tex]

multiply both sides by 7

k = 42

Edgar accumulated $5000 in credit card debt if the interest rate is 50% per year and he does not have to make any payments for five years how much will he go on his debt in five years by compounding continuously.

Answers

Answer:

$ 60 912.46   owed in five years

Step-by-step explanation:

FIFTY percent <====== crazy !    This is .5 in decimal form

FV = Future Value = PV e^(i*t)    

   PV = present value      i = interest in decimal form      t = years

5000 e^(.5 * 5 )  = 60912.46

House numbers along a street consist of two-digit numbers. Each house number is made up of non-zero digits, and no digit in a house number is repeated. Event A is defined as choosing 8 as the first digit, and event B is defined as choosing a number less than 6 as the second digit. If a house number along this street is picked at random, with each number being equally likely and no repeated digits in a number, what is P(A and B) expressed in the simplest form? A. 1/9 B. 5/72 C. 5/8 D. 2/3

Answers

The value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers, option (B) is correct.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of outcomes = 9×8  = 72

(because the total number of digits excluding 0)

Event A: choosing 8 as the first digit

Event B: choosing a number less than 6 as the second digit

Total favourable outcomes = 1×5 = 5

Because there are total 5 digits that are less than 6 {1, 2, 3, 4, 5}

Probability = 5/72

Thus, the value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers option (B) is correct.

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Answer:

The answer is B I'm pretty sure.

Step-by-step explanation:

Time4Learning 2022 quiz

A student tosses a coin and then draws a card from a stack of 4 cards labeled 1 through 4

What is the sample space for this compound event?

{H, T, 1, 2, 3, 4}

{H1, T1, H4, T4}

{HT1, HT2, HT3, HT4}

{H1, T1, H2, T2, H3, T3, H4, T4}

Answers

Answer:

The answer is the longest one <3

Step-by-step explanation:

I took the test:

If the coin is tossed and a card is chosen from 1 to 4, then the total sample will be 8. Then the correct option is D.

What is a sample?

A sample is a collection of well-defined elements. A sample is represented by a capital letter symbol and the number of elements in the finite set is shown as a curly bracket {..}.

A student tosses a coin and then draws a card from a stack of 4 cards labeled 1 through 4.

Then the total number of the sample will be

Total sample = 2 × 4

Total sample = 8

Then the sample is given below.

[tex]\rm Sample = \begin{Bmatrix}(H,1) & (H,2) & (H,3) & (H,4) \\\\(T,1) & (T,2) & (T,3) & (T,4) \\\end{Bmatrix}[/tex]

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which expression is greater than 4

Answers

Answer:

all numbers<4

so numbers 5 and up

Step-by-step explanation:

help me please really help

Answers

Answer:

60

Step-by-step explanation:

10 x sqrt64 - 5 x 4

10 x 8 - 5 x 4

80 - 20

60

Use the formula; SA= 2(L) + 2(w) + 2(h) to find the survface area for a rectangular prism.

Question: (length = 2.2) (width = 1.46) (Height = 6)

Please answer this because im not smart.

Answers

Answer:

The surface area is 19.32

Step-by-step explanation:

The solution in the image

Given ΔABC. Choose which of the following sides create a right triangle:

21

I. a=1.2,b=3.5,c=3.6
II. a=6,b=9.1,c=10.9
III. a=6,b=8,c=9

Answers

Answer:

II. a = 6 , b = 9.1 , c = 10.9

Step-by-step explanation:

I. a = 1.2 , b = 3.5 , c= 3.6

c² = a² + b²

3.6² = 1.2² + 3.5²

12.96 = 1.44 + 12.25

12.96 ≠ 13.69

These sides cannot create a right triangle.

II. a = 6 , b = 9.1 ,c = 10.9

c² = a² + b²

10.9² = 6² + 9.1²

118.81 = 36 + 82.81

118.81 = 118.81

Therefore, these sides can create a right triangle.

III. a = 6 , b = 8 , c = 9

c² = a² + b²

9² = 6² + 8²

81 = 36 + 72

81 ≠ 108

These sides cannot create a right triangle.

12. The weights of bags of corn produced at a factory are normally distributed with a mean
of 28 oz and a standard deviation of 2 oz. Consider a shipment of 800 bags of corn.
How many of the bags will weigh 26.5 oz or less?

Answers

Answer:

If they are 28 Oz and a deviation of 2 it will be 26 so 26 times 800 will be 4800. so technically 1 bag is 26oz so the answer is 1 bag.

Please help. Don’t understand

Answers

If the measure of the angle is 2π/3 the correct option will be tan∅=-√3.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

It is given in the question that:-

The measure of the angle is = [tex]\dfrac{2\pi}{3}[/tex]

We can also write the angle as = [tex]\dfrac{2\times 180}{3}=120[/tex]

Now from the options, the only value which satisfies this angle is tan∅=-√3.

 [tex]tan\dfrac{2\pi}{3}=tan \dfrac{2\times 180}{3}=tan(120)=-\sqrt{3}[/tex]

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16 out of 80 baseball players are left handed.
What percent of the players are left handed?

Answers

Answer:

20% of players are left-handed

Step-by-step explanation:

First, find how much each player is worth percent-wise

100 / 80 = 1.25

Then find out how much percent of players that makes up

1.25 x 16 = 20

The answer is 20% of players are left-handed, to check it you could do

80 * 0.2 = 16

(80 = total players, 0.2 = 20%, 16 = total left handed players)

Write a​ slope-intercept equation for a line that passes through (-2,3) and (2,-5)

The slope of the given line is m
​(Simplify your answer. Type an integer or a simplified​ fraction.)

Answers

Answer:

y - 3 = -2 * (x+2)

Step-by-step explanation:

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