Fewer young people are driving. In 1995, 63.9% of people under years old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to in . Suppose these results are based on a random sample of people under years old who were eligible to have a driver's license in and again in . a. At confidence, what is the margin of error and the interval estimate of the number of eligible people under years old who had a driver's license in

Answers

Answer 1

Answer:

A. 0.0272

B. 0.0278

C. No

Step-by-step explanation:

a. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 1995u

First step is to calculate the Standard error using this formula

Standard error(SE)= √(pcap * (1 - pcap)/n)

Where,

pcap represent sample proportion = 0.639

n represent sample size = 1200

Let plug in the formula

Standard error (SE)= √(0.639 * (1 - 0.639)/1200)

Standard error(SE)= 0.0139

Second step is to find Zc using this formula

Zc = Z(α/2)

Where,

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Zc = Z(α/2) = 1.96

Now let calculate the Margin of Error using this formula

Margin of Error= zc * SE

Let plug in the formula

Margin of Error = 1.96 * 0.0139

Margin of Error = 0.0272

Therefore the Margin of Error is 0.0272

b. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 2016

First step is to calculate the Standard error using this formula

Standard error(SE)= √(pcap * (1 - pcap)/n)

Where,

pcap represent sample proportion = 0.417

n represent sample size = 1200

Let plug in the formula

Standard error (SE)= √(0.417 * (1 - 0.417)/1200)

Standard error(SE)= 0.0142

Second step is to find Zc using this formula

Zc = Z(α/2)

Where,

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Zc = Z(α/2) = 1.96

Now let calculate the Margin of Error using this formula

Margin of Error= zc * SE

Let plug in the formula

Margin of Error = 1.96 * 0.0142

Margin of Error = 0.0278

Therefore the Margin of Error is 0.0278

c. Based on the above calculation for both (a) and (b) the MARGIN OF ERROR are NOT the same reason been that (a) Margin of Error is 0.0272 while (b) Margin of Error is 0.0278 which simply shows that the proportion in parts (a) and are different.


Related Questions

pls pls pls pls helpppp

Answers

its 8.5 im 100% certain on this

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: Should be 150mm

Step-by-step explanation:

Find the surface area of each figure. Round answers to the nearest tenth, if necessary

2 mm-

2/5 mm

10 mm

3 mm

O

75 mm2

150 mm2

92 mm2

86 mm2

Answer: second one; 150mm^2

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min. P(51.5 < X < 51.7)

Answers

Answer:

0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min.

This means that [tex]a = 50, b = 52[/tex]

If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min.

[tex]P(51.5 \leq X \leq 51.7) = \frac{51.7 - 51.5}{52 - 50} = \frac{0.2}{2} = 0.1[/tex]

0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.

Madeline has a headache and takes 500
milligrams of a pain reliever. The brand
of pain reliever she takes has a half-life
of 2.5 hours. Which function could be
used to describe the amount of pain
reliever remaining in Madeline's system
at any given time?
lol

Answers

Answer:

f(x) = 500(1/2)^x

Did this end up in the wrong category lol

30°
8 + 6x
4x + 2
in a triangle

Answers

Answer:

x=12

Step-by-step explanation:

Simplifying

30 + 4x + 2 = 8 + 6x

Reorder the terms:

30 + 2 + 4x = 8 + 6x

Combine like terms: 30 + 2 = 32

32 + 4x = 8 + 6x

Solving

32 + 4x = 8 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

32 + 4x + -6x = 8 + 6x + -6x

Combine like terms: 4x + -6x = -2x

32 + -2x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0

32 + -2x = 8 + 0

32 + -2x = 8

Add '-32' to each side of the equation.

32 + -32 + -2x = 8 + -32

Combine like terms: 32 + -32 = 0

0 + -2x = 8 + -32

-2x = 8 + -32

Combine like terms: 8 + -32 = -24

-2x = -24

Divide each side by '-2'.

x = 12

Simplifying

x = 12

Helpppp!!! Pleaseeee

Answers

Answer:I’m pretty sure it’s 90

Step-by-step explanation:

Answer:

tan 60=√3/t

t=√3/√3=1 is your answer

What is the area of the triangle?
6
2
3

Answers

Answer:

6

Step-by-step explanation:

Find the area of both triangles inside the bigger triangle and add them together.

Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:

a² + b² = c²

2² + b² = 3²

4 + b² = 9

5 = b²

2.2 ≈ b

Calculate the area of the smaller triangle:

1/2(bxh)

1/2(2 x 2.2)

1/2(4.4)

2.2

Calculate the area of the bigger triangle:

We know that the longer leg is 3.8 units because we were able to subtract the length of the smaller triangle's leg from 6.

1/2(bxh)

1/2(2 x 3.8)

1/2(7.6)

3.8

Add both areas to find the area of the largest triangle:

3.8 + 2.2 = 6

5 members or 20% of the math league did not come to the meet. how many total members are there

Answers

There are 20 total members! Don’t click the answer above, it’s a scam. Mark brainliest :)

Simplify the expression: (-4x^10y^-8)^2

Answers

Answer:

(-8x)(20y)-16

Step-by-step explanation:

(-4x10y-8)2

distribute the two to all terms inside the parentheses

(-8x)(20y)-16

you cannot simplify this further

In ΔJKL, j = 520 inches, k = 730 inches and l=640 inches. Find the measure of ∠K to the nearest degree.

Answers

Answer:

It’s 56.7

Step-by-step explanation:

Fudisks

Derek has a bank account that pays 4.1% simple interest. He deposits $910 and leaves it in for 2.5 years. How much interest does he earn.​

Answers

Answer:

After 2 and a half years, Derek's bank account will have earned interest of $ 93.27.

Step-by-step explanation:

Given that Derek has a bank account that pays 4.1% simple interest, and he deposits $ 910 and leaves it in for 2.5 years, to determine how much interest does he earn, the following calculation must be performed, knowing that simple interest is not added to the initial capital:

(910 x 0.041) x 2.5 = X

37.31 x 2.5 = X

93.275 = X

Thus, after 2 and a half years, Derek's bank account will have earned interest of $ 93.27.

A friend owes $10,000 on his credit card. He plans to stop making charges and pay off the balance. The card has a minimum payment of 5%. He figures correctly that 5% of $10,000 is $500. From that he concludes that he needs to make the 5% minimum payment for only 20 months Is your friend right? If not, explain the error in his reasoning.

Answers

Answer:

yes he is correct

Step-by-step explanation:

10000x0.05=500 so thats correct

he will pay 500 for 20 month= 10,000

Find x. Please and thank you!

Answers

i found X he’s up here in heaven
X=7
Okay since the triangle is an isosceles triangle, you’re going to multiply that (9x-25) by 2. After that you’re going to add 104 to the 50 part of now 18x-50. Now just do this
180=18x-50 and solve for X and you should get X=7

A psychology professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the top 9% and above the bottom 56% C: Scores below the top 44% and above the bottom 20% D: Scores below the top 80% and above the bottom 6% F: Bottom 6% of scores Scores on the test are normally distributed with a mean of 79.3 and a standard deviation of 8.4. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.

Answers

Answer:

You get a D if you have a grade between 66 and 72.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Scores on the test are normally distributed with a mean of 79.3 and a standard deviation of 8.4.

This means that [tex]\mu = 79.3, \sigma = 8.4[/tex]

D: Scores below the top 80% and above the bottom 6%

So between the 6th and the 20th percentile.

6th percentile:

X when Z has a pvalue of 0.06. So X when Z = -1.555.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.555 = \frac{X - 79.3}{8.4}[/tex]

[tex]X - 79.3 = -1.555*8.4[/tex]

[tex]X = 66.2[/tex]

Rounds to 66

20th percentile:

X when Z has a pvalue of 0.2. So X when Z = -0.84.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.84 = \frac{X - 79.3}{8.4}[/tex]

[tex]X - 79.3 = -0.84*8.4[/tex]

[tex]X = 72.2[/tex]

Rounds to 72

You get a D if you have a grade between 66 and 72.

A directed line segment AB with A (1,3) and B (8,4) is partitioned by point C such that AC and CB form a 4:1 ratio. Find C
Write your answer as a coordinate point.
Do not include spaces in your answer.
Write your answer as a decimal if necessary.

Answers

Answer:

[tex]C = (\frac{33}{5},\frac{19}{5})[/tex]

Step-by-step explanation:

Given

[tex]A = (1,3)[/tex]

[tex]B = (8,4)[/tex]

[tex]AC : BC = 4 : 1[/tex]

Required

Determine the coordinates of C

To do this, we make use of:

[tex]C = (\frac{nx_1 + mx_2}{n+m},\frac{ny_1 + my_2}{n+m})[/tex]

Where:

[tex]A = (1,3)[/tex] ---- [tex](x_1,y_1)[/tex]

[tex]B = (8,4)[/tex] ---- [tex](x_2,y_2)[/tex]

[tex]m:n = 4 : 1[/tex]

So:

[tex]C = (\frac{1 * 1 + 4*8}{1+4},\frac{1*3 + 4*4}{1+4})[/tex]

[tex]C = (\frac{33}{5},\frac{19}{5})[/tex]

If a central angle measures 87°, then its arc will measure _____.

twice as much
the same
half as much

Answers

The same!

Hope This Helps! <3

Good Luck Studying ^-^

I WILL GVE BRAINLIEST JUST HELP ASAP

Use the Rational Zeros Theorem to write a list of all potential rational zeros
f(x) = 14x3 + 56x2 + 2x - 7

Answers

Answer:

± 1 , ± 1/2 , ± 1/7 , ± 1/14 , ± 7 , ± 7/2

Step-by-step explanation:

a savings account increases from $200 to $212. what is the percent increase of the savings account?

Answers

Answer:

6% increase

Step-by-step explanation:

To find the percent increase, divide the difference by the original:

12/200

= 0.06

Multiply this by 100:

0.06(100)

= 6

So, the percent increase was 6%

i will give you brainliest whoever answers correct first!!

Answers

Answer:

x=16

Step-by-step explanation:

ok yeah lololol

What is the conjugate of (x2-6)?

Answers

Answer:

2(x - 3)

Step-by-step explanation:

what is the quotient of 3 to the 5 power ÷ 3 to the 3 power

Answers

The answer is 9 because 3^5 is 243 divided by 27 equals 9

HELP ASAP!! In a right triangle, the longer leg is twice the shorter leg and the hypotenuse is 8 more than the shorter leg. Find the length of the shorter leg.

Answers

Answer:

We can't find an exact number, but the answer is x.

What is a angle called when two angles share a common side and a common vertex

Answers

They are called “Adjacent Angles”

Answer:

Adjacent Angles

Step-by-step explanation:

Adjacent angles are two angles that have a common vertex and a common side but do not overlap. They share the same vertex and the same common side.

3/4 of 1/3 =? please show me how to do it

Answers

I haven’t done this in a while, but I believe that the “of” in the equation means multiply so you do 3/4 x 1/3 to get 3/12 (simplified to 1/4)!!

Use calculus to evaluate (lhopitals rule)
lim x>infinity x^2 - ln(2/x)/3x^2 + 2x

Answers

Answer:

1/3

Step-by-step explanation:

[tex][x^2 - ln(2/x)]/[3x^2 + 2x]\\[/tex]

∞/∞

[tex]\frac{d}{dx}[x^2-ln(2/x)] =2x+\frac{1}{x}\\ \frac{d}{dx}[3x^2+2x]=6x+2\\\frac{2x+\frac{1}{x}}{6x+2}[/tex]

Also ∞/∞

[tex]\frac{d}{dx}[2x+\frac{1}{x}]=2-1/x^2\\\frac{d}{dx}[6x+2]=6\\\\[/tex]

[tex]\lim_{x \to \infty} \frac{2-\frac{1}{x^2} }{6}\\=\frac{2}{6} \\=\frac{1}{3}[/tex]

PLZ HELP DUE IN 8 MINS PLZ HELP

Answers

Answer: for number 1 its negative 14

Step-by-step explanation:

A $7.00 item is marked down by 10%.
What is the new cost of the item?
Round to two decimals if needed.
$

Answers

Answer:

6.3

Step-by-step explanation:

I have tried a while to figure this out, but I have had no luck!

Dianne runs around a circular track that has a radius of 55 feet. After running three quarters of the distance around the track, how far has she run?

Answers

Answer:

She has run 259.18m

Step-by-step explanation:

Since Dianne is running around the circular track, she is running around the perimeter of the circle.

Now, we know that the perimeter of a circle is given by;P = 2πr

Thus the perimeter of the track = total distance that the man travels = 2 x π x 55 = 345.575 meters

Now,since she has run 3/4 of the distance, thus, she has run;

(3/4) x 345.575 = 259.18m

Which is a perfect square?
61
62
63
65

Answers

Answer:

None of them really,

A perfect square is a number that can be expressed as the product of two equal integers...which is not seen here.

Th closest perfect square that could be possible would be 64, but thats not an option, so go with none.

whoever gets these 2 right gets brainliest!!

Answers

Answer: c,b

Step-by-step explanation:

Answer:

the correct and reasonable answer should be B and C.

Step-by-step explanation:

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