The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of the week. Assume that a sample of accidents provided the following data. Sunday= 64, Monday=53, Tuesday=55, Wednesday=49, Thursday=55, Friday=68, Saturday=76. Conduct a hypothesis test to determine if the proportion of traffic accidents is the same for each day of the week. What is the -value? Compute the value of the test statistic (to 3 decimals).

Answers

Answer 1

Answer:

Hence,

a)

Test statistic [tex]X^{2}[/tex] = 9.269.  

p value = 0.148

b)

Sunday=  15.23%, Monday= 12.62%, Tuesday= 13.10%, Wednesday=11.67%,

Thursday= 13.10%, Friday= 16.19%, Saturday= 18.09%.

Step-by-step explanation:

a)

                    relative observed    Expected       Chi square

Category   frequency(p)      [tex]O_{i}[/tex]    Ei=total*p    [tex](O-E)^{2}[/tex] [tex]R^{2}_{i} =(O_{i} -E_{i} )^{2} /E_{i}[/tex]

     1           0.142857143      64.0         60.00    16.00          0.267

    2           0.142857143      53.0       60.00     49.00         0.817

    3           0.142857143      55.0         60.00     25.00        0.417

    4           0.142857143      49.0       60.00     121.00        2.017

    5           0.142857143      55.0         60.00     25.00        0.417

    6           0.142857143      68.0         60.00     64.00        1.067

    7           0.142857143      76.0         60.00    256.00        4.267

  Total         1.000      420        420             556       9.269

Test statistic [tex]X^{2}[/tex] = 9.269.  

p value = 0.148 from excel: chidist(9.269,6)  

b)

Percentage %= Frequency of traffic occur on category x 100 / Total number of frequency given.

Category          Percentage%

Sunday                   15.23%

Monday                    12.62%

Tuesday                   13.10%

Wednesday           11.67%

Thursday           13.10%

Friday                   16.19%

Saturday                   18.09%


Related Questions

Which of the following phrases would represent this expression?
x/3
• the difference of x and 3
• the quotient of 3 and x
• the product of 3 and x
• the quotient of x and 3

Answers

Answer:

the quotient of x and 3

Step-by-step explanation:

x divided by 3

division answers are called quotients

Answer:

Step-by-step explanation:

x/3

• the difference of x and 3

• the quotient of 3 and x

• the product of 3 and x

the quotient of x and 3  is correct.  We are dividing x into 3, not 3 into x.

plzzzzzzzzzzzzzzzzz help meeeeeeeeeeeeeeeeeee

i do anything just help

1.) Create a table of x and y values that represents a proportional relationship.




a) Explain how you know the relationship is proportional.

b) What equation models the values in the table?

2) Create a table of x and y values that represents a linear, non-proportional relationship.




a) Explain how you know the relationship is non-proportional.

b) What equation models the values in the table?

Answers

Answer:

Table could be first x = 2, y = 4, then x = 4, y = 8. It is proportional because both (x,y) values equal 1/2. The equation is x = 1/2y. Last, the table could be the same, or you could do first, x = 6, y = 12, then x = 12, y = 24, because they still equal 1/2.

Step-by-step explanation:

ASAP PLEASE!!The table and the relative frequency histogram show the distribution of the number of tails and three coins are tossed. Find the probability P(T=1). write your answer as a fraction.

Answers

Answer:

[tex]P(T = 1) = \frac{3}{8}[/tex]

Step-by-step explanation:

The table, along with the relative frequency chart, state that the probabilities are:

[tex]P(T = 0) = \frac{1}{8}[/tex]

[tex]P(T = 1) = \frac{3}{8}[/tex]

[tex]P(T = 2) = \frac{3}{8}[/tex]

[tex]P(T = 3) = \frac{1}{8}[/tex]

Find the probability P(T=1)

As given by the table, and by the relative frequency chart, [tex]P(T = 1) = \frac{3}{8}[/tex]

Describe the process for taking a set of data and creating a circle graph from it.

Answers

Answer:

Step-by-step explanation:

A circle chart can be referred to as a pie chart. This is a chart that expresses each fraction of total data in degrees.

The set of data given is summed so as to determine the total value. Then each data in the set is expressed as a ration of the total value, which is multiplied by [tex]360^{o}[/tex]. This is to determine the degree of angles that represent each data in the data set. These angles in degrees can now be used to divide the sum of angles in a circle into wedges.

With each wedge in the circle showing the fractional relationship between each data and the total value in degrees.

eople
Find the perimeter and area of the figure pictured below.
odules
fice 365
3.7 m
om
11.4 m
ades
2.3 m
9.2 m
Q
Perimeter
m
Area -
m2

Answers

Answer:

Perimeter: 41.2 m

Area: 54.83 m^2

Step-by-step explanation:

REFER TO THE IMAGE ATTACHED AS A

GUIDE.

PERIMETER:

(ADD UP ALL THE LENGTHS OF EACH SIDE)

Must be all 6 sides (see image, I solved for the two missing lengths)

3.7 + 9.1 + 11.4 + 9.2 + 2.3 + 5.5 = 41.2

perimeter is 41.2 m

AREA:

(See image again)

Shape is divided into two rectangles:

Top rectangle area: 11.4 x 3.7 = 42.18 m^2

Bottom triangle area: 5.5 x 2.3 = 12.65 m^2

ADD:

42.18 m^2 + 12.65 m^2 = 54.83 m^2

The area of the whole figure is 54.83 m^2

HOPE THIS HELPS

Which statement proves the given triangles are similar?

Answers

Answer:

it's the second one

Step-by-step explanation:

How many numbers lie between the squares of 39 and 40

Answers

Answer:

i guess its 1...

Step-by-step explanation:

Answer:

79 numbers

Step-by-step explanation:

39 x 39 = 1521 ( Find the square of 39)

40 x 40 = 1600 (Find the square of 40)

1600 - 1521 = 79 ( Finding the difference of the two squares)

Plz help 1+1 PLZ SEND ANSWER

Answers

Answer:

2

Step-by-step explanation:

Answer is 2

Step by step explanation: one apple plus another is two apples

This question difficult and i need some help would anyone please help me

Answers

Answer:

x = 30

F = 130

G =  50

Step-by-step explanation:

f and g are supplementary which means they add to 180

5x-20 + 3x - 40 = 180

Combine like terms

8x - 60 = 180

Add 60 to each side

8x-60+60 = 180+60

8x = 240

Divide by 8

8x/8 = 240/8

x = 30

F = 5x -20 = 5*30 -20 = 150 -20 = 130

G = 3x-40 = 3*30 -40 = 90-40 = 50

Answer:

Because a straight line = 180, we can find x like this :

(5x - 20) + (3x - 40) = 180

Step 1 - collect like terms

8x - 60 = 180

Step 2 - Move terms around to isolate x

8x = 180 + 60

Step 3 - Divide both sides by 8

x = 30

Now you can find the value of the angles by plugging in x

∠f = (5 x 30) - 20

     = 130 degrees

∠g = (3 x 30) - 40

      = 50 degrees

We can check to see if this works by adding them up

130 + 50 = 180, so this is correct

Hope this helps! I would really appreciate a brainliest if possible :)

which elements in the following set are integers -8,3/4,-0.18,0,0.16,5,-2/7,6

Answers

Answer:

345

Step-by-step explanation:

a binomial distribution
has 30% rate of SUCCESS.
there are 6 triats. what
is probability that there
will be exactly 2 Successes

Answers

Answer:

0.324

Step-by-step explanation:

Given that :

Success rate = 30%

p = 30% = 0.3

q = 1 - p = 1 - 0.3 = 0.7

Number of trials, n = 6

Probability of having exactly 2 successes ; x = 2

P(x = 2)

Usibgbtge binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 2) = 6C2 * 0.3^2 * 0.7^4

P(x = 2) = 15 * 0.3^2 * 0.7^4

P(x = 2). = 0.324135

P(x = 2) = 0.324

Given m n, find the value of X.

Answers

Answer:

x = 62

Step-by-step explanation:

62 and x are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

Which of the following phrases are expressions?

Answers

Answer:

C ,D , E just follow it . thank me later if its right

Answer:

E

Step-by-step explanation:

(10+7)(50+1)

=17×51

=867

PLEASE ANSWER ASAP FOR BRANLIEST!!!!!!!!!!!!

Answers

Answer:

1. zero

2. seven over eight

3. one over three

4. one

5. one over two

PLEASE GIVE BRAINLYIST!!

emma can read 4 pages of a book in 8 minutes how many pages can she read per minute if she still had it 24 pages how many pages are there in the book

Answers

Answer:

Emma can read 30 pages per minute

Number of book pages 28

Step-by-step explanation:

The area of a triangular sign is 6x² + 24x What is the measure of the base? (View attachment)

Answers

Answer:

[tex]2x + 8[/tex]

Step-by-step explanation:

Area of triangle equal

[tex] \frac{b \times h}{2} = a[/tex]

where b is the base and h is the height.

Plug in what we know.

[tex] \frac{b \times 6x}{2} = 6 {x}^{2} + 24x[/tex]

Multiply 2 by both sides.

[tex]b \times 6x = 2(6 {x}^{2} + 24x)[/tex]

Divide 6x by both sides.

[tex]b = \frac{12 {x}^{2} + 48x }{6x} = 2x + 8[/tex]

Consider random samples of size 86 drawn from population A with proportion 0.43 and random samples of size 60 drawn from population B with proportion 0.15
(a) Find the standard error of the distribution of differences in sample proportions A - B Round your answer for the standard error to three decimal places. Standard error=
(b) Are the sample sizes large enough for the Central Limit Theorem toa
Yes or No?

Answers

Answer:

a) The standard error is s = 0.071.

b) Yes, as both sample sizes are above 30.

Step-by-step explanation:

To solve this question, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Samples of size 86 drawn from population A with proportion 0.43

This means that [tex]n = 86, p = 0.43[/tex]. So:

[tex]s_A = \sqrt{\frac{0.43*0.57}{86}} = 0.0534[/tex]

Samples of size 60 drawn from population B with proportion 0.15:

This means that [tex]n = 60, p = 0.15[/tex]. So:

[tex]s_B = \sqrt{\frac{0.15*0.85}{60}} = 0.0461[/tex]

(a) Find the standard error of the distribution of differences in sample proportions A - B Round your answer for the standard error to three decimal places. Standard error=

This is:

[tex]s = \sqrt{s_A^2 + s_B^2}[/tex]

[tex]s = \sqrt{(0.0534)^2 + (0.0461)^2}[/tex]

[tex]s = 0.071[/tex]

The standard error is s = 0.071.

(b) Are the sample sizes large enough for the Central Limit Theorem. Yes or No?

Yes, as both sample sizes are above 30.

help me please if you can't don't touch it

Answers

Answer:

option B : 31.4 cm

Step-by-step explanation:

Given radius , r = 5cm

Circumference = [tex]2 \pi r[/tex]

                       = 2 x 3.14 x 5

                       =10 x 3.14

                       = 31.4 cm

Answer:

b. 31.4

Step-by-step explanation:

The radius of the circle can be plugged into C=(pi)2r. So 5x2= 10 and 10x(pi)= 31.4

Find the value of each shape so that they will add up to give you the specified sums in each row and each column.


How does this solving problem relate to system of equations?

Answers

Answer:

Step-by-step explanation:

Find all derivatives of y^n of the function y=√x+5

Answers

Hello,

As somebody has distroyed my question, (may be he have not understood ?)

i will reply to y=(√x)+5

[tex]\displaystyle \boxed{\dfrac{d^n y}{dx^n} =(-1)^n*n!! *\dfrac{1}{2^n} *x^{-\frac{2n+1}{2} }\\}\\y'=\dfrac{1}{2} *x^{-\frac{1}{2}} \\\\y''=-\dfrac{1}{4} *x^{-\frac{3}{2}} \\...\\[/tex]

Question attached below

Answers

Answer:

s(8) = 1162

Step-by-step explanation:

We are told that the acceleration is;

a(t) = 18t + 16

Now, acceleration is the first derivative of velocity. Thus, we will integrate the acceleration function to get the velocity function.

v(t) = ∫a(t) = ∫(18t + 16)

v(t) = 9t² + 16t + c

We are told that at t = 0, v(0) = 16

Thus;

9(0)² + 16(0) + c = 16

c = 16

Thus;

v(t) = 9t² + 16t + 16

Also, the velocity is the first derivative of distance. Thus;

S = ∫v(t) = ∫9t² + 16t + 16

S = 3t³ + 8t² + 16t + c

At t = 0, s(t) = 10. Thus;

10 = 3(0³) + 8(0²) + 16(0) + c

c = 10

Thus;

s(t) = 3t³ + 8t² + 16t + 10

At t = 8;

s(8) = 3(8³) + 8(8²) + 16(8) + 10

s(8) = 1162

PLEASE HELPPPPP ASAP
A function is shown in the table.

x g(x)
−3 17
−1 −3
0 −4
2 13

Which of the following is a true statement for this function?

The function is increasing from x = −3 to x = −1.
The function is increasing from x = −1 to x = 0.
The function is decreasing from x = 0 to x = 2.
The function is decreasing from x = −3 to x = −1.

Answers

Answer:

it's the last one, the function is decreasing from x=-3 to x=-1

What is the HFC of the following: 4 (x2-x+1) and 28 (x3+1)?​

Answers

Your Answer is in the above image.

The slope of a line is -, and the y-intercept is 10/3. What is the equation of the line written in general form?

Answers

I think it should be y=-x+10/3
As slope is y=mx+b so substitute your slope for the coefficient of x and then add your y intercept to the end.

Quick !
The perimeter of the rectangle below is 118 units. Find the length of side AD.

Answers

Answer:

24

Step-by-step explanation:

the perimeter is all sides added up

therefore to solve for "z"

3z + 3z + 4z + 3 + 4z + 3 = 118

simplify

14z + 6 = 118

isolate z by first subtracting 6 from both sides and then dividing by 14 for both sides

z=8

plug z into side CB as AD and CB are congruent

3(8)

=24

Use the distributive property to write the next step in simplifying th
numerical expression
7(2 + 7)

A. 7• 2+7•7
B. 7• 2+7
C. (7+2) • (7 + 7)
D. 7+2 • 7+ 7

Answers

Answer:

A)

Step-by-step explanation:

A gardener wants to plant 875 roses in the garden. Can he plant them in rows having 7 plants each without any plants left? Justify your answer. *

Answers

Answer:

Yes

Step-by-step explanation:

875 roses / 7 plants per row

875 / 7 = 125 rows, which is a whole number, meaning nothing is left over

Identify the domain of the function shown in the graph. Need heal ASAP

Answers

Answer:

D

Step-by-step explanation:

the domain of the function is the boundaries in the X condition. using the graph we see X starts at 2 and ends at 7 so the domain is

[tex]2 \leqslant x \leqslant 7[/tex]

Which system of equations is represented by the matrix below?
54 5-167
7 -4 23
O A. x+ 5y = -16
x - 4y = 23
OB. 4x + 5y = -16
7x - 4y = 23
C. 4x + 5y = -16
7x + 4y = 23

Answers

9514 1404 393

Answer:

  B

Step-by-step explanation:

In order for the matrix to represent the equations, the coefficients in the equations need to match the terms in the matrix. That is only the case for choice B.

__

Details are important in math.

How do you find the amplitude, period, and shift for f(x)=−4cos(3x−π)+1?

Answers

Answer:

(a) Amplitude = 4

(b) [tex]T = \frac{2\pi}{3}[/tex] --- Period

(c)

[tex]C = \frac{\pi}{3}[/tex] --- phase shift

[tex]D =1[/tex] --- vertical shift

Step-by-step explanation:

Given

[tex]f(x) = -4\cos(3x - \pi) + 1[/tex]

Rewrite the function as:

[tex]f(x) = -4\cos(3(x - \frac{\pi}{3}) + 1[/tex]

Solving (a): The amplitude

A cosine function is represented as:

[tex]f(x) = A\cos[B(x - C)] + D[/tex]

Where:

[tex]|A| \to Amplitude[/tex]

So, in this equation (by comparison):

[tex]|A| = |-4|[/tex]

[tex]|A| = 4[/tex]

The amplitude is 4

Solving (b): The period (T)

This is calculated as:

[tex]T = \frac{2\pi}{B}[/tex]

By comparison:

[tex]B =3[/tex]

So:

[tex]T = \frac{2\pi}{3}[/tex]

Solving (c): The shift

The phase shift is C

The vertical shift is D

By comparison:

[tex]C = \frac{\pi}{3}[/tex] --- phase shift

[tex]D =1[/tex] --- vertical shift

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