The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of the week. Assume that a sample of 420 accidents provided the following data.
Sunday 66
Monday 50
Tuesday 53
Wednesday 47
Thursday 55
Friday 69
Saturday 80
A) Conduct a hypothesis test to determine if the proportion of traffic accidents is the same for each day of the week. What is the P-Value? Use a 0.05 level of significance, what is your conclusion?
B) Compute the percentage of traffic accidents occuring on each day of the week. What day has the highest percentage of traffic accidents? Does this seem reasonable? Explain.
Answers
Answer:
(A) There is enough evidence to suggest that the proportion of traffic accidents is not same for each day of the week.
(B) Saturday has the highest percentage of traffic accidents.
Step-by-step explanation:
(A)
The Chi-square goodness of fit test would be used to determine if the proportion of traffic accidents is the same for each day of the week.
The hypothesis for the test can be defined as follows:
H₀: The proportion of traffic accidents is the same for each day of the week.
Hₐ: The proportion of traffic accidents is not same for each day of the week.
Assume that the significance level of the test is, α = 0.05.
The Chi-square test statistic is given by:
[tex]\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}[/tex]
Compute the values in Excel.
The expected frequency for all the days is 60.
The Chi-square test statistic value is, 14.333.
Compute the p-value using the Excel function "=CHISQ.DIST.RT(14.33,6)".
p-value = 0.0262
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected.
The p-value is less than 0.05.
The null hypothesis will be rejected.
Conclusion:
There is enough evidence to suggest that the proportion of traffic accidents is not same for each day of the week.
(B)
Compute the percentage of traffic accidents occurring on each day of the week as follows:
[tex]\text{Sunday}=\frac{66}{420}\times 100\approx 16\%\\\\\text{Monday}=\frac{50}{420}\times 100\approx 12\%\\\\\text{Tuesday}=\frac{53}{420}\times 100\approx 13\%\\\\\text{Wednesday}=\frac{47}{420}\times 100\approx 11\%\\\\\text{Thursday}=\frac{55}{420}\times 100\approx 13\%\\\\\text{Friday}=\frac{69}{420}\times 100\approx 16\%\\\\\text{Saturday}=\frac{80}{420}\times 100\approx 19\%[/tex]
Saturday has the highest percentage of traffic accidents.
Related Questions
What is w?
9 = - 7w + 12w - 6
Answers
Answer:
w=3
Step-by-step explanation:
Need help on this will give brainelist
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This is because they are on the x-axis, so if reflected, they stay in the same spot. It's like pushing your finger against a mirror. The mirror itself is in the same place, but your finger is reflected inside it
Answer:
A. Only points C and D
This is because they are on the x-axis, so if reflected, they stay in the same spot. It's like pushing your finger against a mirror. The mirror itself is in the same place, but your finger is reflected inside it hope you enjoy the answer have a great day.
Step-by-step explanation:
The table shows the battery lives, in hours, of ten Brand A batteries and ten Brand B batteries.
Which would be the best measure of variability to use to compare the data?
Only Brand A data is symmetric, so standard deviation is the best measure to compare variability.
Only Brand B data is symmetric, so the median is the best measure to compare variability.
Both distributions are symmetric, so the mean is the best measure to compare variability.
Both distributions are skewed left, so the interquartile range is the best measure to compare variability.
Answers
Answer: D is the answer i think
Step-by-step explanation:
Answer:
D: Both distributions are skewed left, so the interquartile range is the best measure to compare variability.
Step-by-step explanation:
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I just need help with this, it's just practice so I can get better at math.
Answers
Answer:
g
Step-by-step explanation:
hope it helps
Jazzy Signs pays $5 for materials to build their wooden signs. They sell each sign for $36.
Approximately what percentage of increase does Jazzy Signs sell their wooden signs for?
Answers
Answer:
720 %
Step-by-step explanation:
Hi there !
$ 5 ............. 100%
$ 36 .................x%
x = 36×100/5
= 3600/5
= 720 %
Good luck !
Answer:
720%Step-by-step explanation:
percentage of a sale increase from $5 to $36
just divide the sale price from $36 to $5
$ 36
$ 5
= 7.2 (100%)
= 720 % ( a profit of $36 - $5 = $31 )
proof:
$5 x (7.2) = $36
4= Sx+10/2
that’s a fraction btw
Answers
Answer:
4= Sx+10/2 simplifies to -s*x-1=0
Step-by-step explanation:
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Answers
Answer:
3 one
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Use the diagram to complete the statement.
Answers
Answer:
∠FJH ≅ ∠BJA
Step-by-step explanation:
From the image we can see that the only congruent relation ∠FJH has is with ∠BJA which is due to these angles being vertically opposite
So, ∠FJH and ∠BJA are vertically opposite and hence, congruent. We can say that ∠FJH ≅ ∠BJA
How do you do this question?
Answers
Answer:
18π
Step-by-step explanation:
Arc length for a parametric equation is:
s = ∫ₐᵇ √((dx/dt)² + (dy/dt)²) dt
dx/dt = -9 sin(9t)
dy/dt = 9 cos(9t)
s = ∫₀²ᵖⁱ √((-9 sin(9t))² + (9 cos(9t))²) dt
s = ∫₀²ᵖⁱ √(81 sin²(9t) + 81 cos²(9t)) dt
s = ∫₀²ᵖⁱ 9 dt
s = 9t |₀²ᵖⁱ
s = 18π
You can check your answer with geometry. The curve is a circle centered at the origin with radius 1. From 0 to 2π, the particle makes 9 revolutions, or travels 18π radians. So the arc length is 1 × 18π = 18π.
Answer:
18π
Step-by-step explanation:
I need helpppp fasttt
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Answer: the first opion is correct
as pentagon is concave so one angle mist be greater than 180°
Step-by-step explanation:
ALGEBRA HEEEEEELP PLEASE, GOD BLESS
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Answer:
no
Step-by-step explanation:
0000000000000000000 00000000
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Answer:
x= 14/a+2y
Step-by-step explanation:
:)
Answer: 0
Very hard work u know
the ratio of girls to boys in a bicycling club was 3:6. There were 18 girls. How many boys were in the club?
Answers
Answer:
36 boys
Step-by-step explanation:
9a - 2 = -65
Solve for a
Answers
Answer:
a=7.44...
Step-by-step explanation:
9a-2=65 (+2)
9a=67 (/9)
a=7.44...
Answer:
-7 I believe is the answer hope this helps
Use the given information to find the measure.
Answers
Answer:
From the image, we can see that ∠AOC = ∠AOB + ∠BOC
We are given the following values:
∠AOC = 104
∠AOB = 7x + 30
∠BOC = 9x + 42
Plugging these values in the equation above:
∠AOC = ∠AOB + ∠BOC
104 = 7x + 30 + 9x + 42
104 = 16x + 72
16x = 32
x = 2
Now that we have the value of x, we can easily find the value of ∠BOC
We are given that:
∠BOC = 9x + 42
∠BOC = 9(2) + 42 (since x = 2)
∠BOC = 18 + 42
∠BOC = 60°
Therefore, ∠BOC is 60 degrees
I GIVE BRIANLIEST LOOK AT THE PIC
Answers
Answer:
A. m∠POS = 60°, m∠POQ = 120
100% CORRECT
Hope this helps!!
Need help ASAP!If you don’t mind
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Answer:
each green line is 45 degrees
Step-by-step explanation:
Answer:
first box should be EAF then next FAL and the last would be ray AL and its a ray because it has one endpoint which is A.
Step-by-step explanation:
If e^5x=k, where k is any positive number then what is the value of x
Answers
Answer:
If [tex]k > 0[/tex], then [tex]x[/tex] must be greater than 0.
Step-by-step explanation:
If [tex]k > 0[/tex], then we state that [tex]e^{5\cdot x} > 0[/tex] and [tex]e^{5\cdot x}[/tex] is a trascendental function with a lower bound so that [tex]e^{5\cdot x}> 1[/tex]. Then, the minimum value of [tex]k[/tex] is 1 and we proceed to solve the latter equation to find the value of [tex]x[/tex]:
[tex]e^{5\cdot x}> 1[/tex]
[tex]\ln e^{5\cdot x} > \ln 1[/tex]
[tex]5\cdot x > 0[/tex]
[tex]x > 0[/tex]
Therefore, [tex]x[/tex] must be greater than 0.
Please helpppppp Write an algebraic expression for the situation
12, less than the product of 4 and a number y
An algebraic expression for the situation is
(the oneration symbole in the
Answers
Answer:
4y-12
Step-by-step explanation:
If CD = 8 and BD = 11, what is BC?
Answers
Help please,,,i beg smartiesss
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Answer:
top box is 18, third on the bottom is 10 and fourth on the bottom is 12
Step-by-step explanation:
For two onions, add 9 tomatoes. If you have two onions, you have 9 tomatoes. This could be looked at as multiplying the amount of tomatoes by the (onions/2).
Equation: 9 divided by 2 = 4.5
4.5 x 4 = 18 etc.
if f(x)=x²+3x+5 what is f(a+h)
A) a²+2ah+h²+3a+3h+5
B) h²+3a+3h+5
C) (a+h)²+3(a+h)+5(a+h)
D) (x²+3ax+5)(a+h)
99 points and votes the brainiest
Answers
Which polygon has an interior angle sum of 1080°?
A polygon has 8 sides.
A polygon has 10 sides.
A polygon has 9 sides.
A polygon has 7 sides.
Answers
Answer:
option B : polygon with 8 sides.
Answer:
It is the first option 8 sides.
Step-by-step explanation:
we can set an equation up for this question: 1080=180(n-2)
divide:
1080/180=n-2
= 6=n-2
= n=8
isnt that very easy?
If the length of AC equals 18, what is the length of the midsection DE
Answers
Answer:
The length of the midsegment is 9 ⇒ (B)
Step-by-step explanation:
In a triangle,
The midsegment is the segment which joining the midpoints of two opposite sides of itThe length of the midsegment is half the length of the third side in the triangle which opposite to itLet us use this rule to solve our question
In Δ AC
∵ DE is the midsegment of it
∵ DE is opposite to the side AC
∴ The length of DE = 1/2 the length of AC
∵ The length of AC = 18
∴ The length of DE = 1/2 × 18
∴ The length of DE = 9
∴ The length of the midsegment is 9
The correct answer is B
The measure of angle 1 is (3x + 10)° and the measure of angle 4 is (4x – 15)°.
Vertical and parallel lines c, d, and e are cut by diagonal transversal a. On line c where it intersects with line a, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. On line b where it intersects with line a, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5.
What is the measure of angle 7?
Answers
Answer:
the answer is 95
Answer:
The measure of angle 7=95*
Step-by-step explanation:
I just got the question correct.
f(x) = 15% for x = 3
Answers
what is the answers for this
Answers
Answer:
6. The triangle is acute
m<P = 60
m<Q = 84
m<R = 36
----------------
7. Claim: the three angles added together equal 180 degrees
m<J = 116 degrees
m<K = 33 degrees
m<L = 38 degrees
Step-by-step explanation:
m<P = 4a + 12 = 4(12) + 12 = 60
m<Q = 7a = 7(12) = 84
m<R = 3a = 36
(4a + 12) + 7a + 3a = 180 degrees
14a + 12 = 180
14a = 168
a = 12
----------------
m<J = 4x + 12 = 4(26) + 12 = 116
m<K = x + 7 = 26 + 7 = 33
m<L = 2x - 14 = 2(26) - 14 = 38
(4x + 12) + (x + 7) + (2x - 14) = 180 degrees
7x - 2 = 180
7x = 182
x = 26
A savings account balance can be modeled by the graph of the linear function shown on the grid.
What is the rate of change with respect to the number of deposits?
ANSWER CHOICES: 1). $0.50 per deposit. 2) $100 per deposit. 3) $2 per deposit. 4) $50 per deposit
Answers
Answer:
100 per
Step-by-step explanation:
The rate of change with respect to the number of deposit will be 100.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The graph of the linear function shown in the image.
Now,
Two points on the graph are (3, 350) and (2, 250).
Hence, Rate of change = (250 - 350) / (2 - 3)
= -100/-1
= 100
Thus, The rate of change with respect to the number of deposit will be 100.
Learn more about the rate of change visit:
https://brainly.com/question/25184007
#SPJ2
Which statement is FALSE?
Select one:
A. Absolute Value is the distance from zero on a number line.
B. Absolute value is the opposite value of a number.
C. Absolute value is always positive.
Answers
Answer:
BBBBBB
Step-by-step explanation:
What is the value of x in the equation 2x – 3 = 9- 4x?
0 -6
O-3
O 1
o 2
Answers
Answer:
x = 2
Step-by-step explanation:
2x - 3 = 9 - 4x
6x - 3 = 9 (added 4x to both sides)
6x = 12 (added 3 to both sides)
x = 2 (divided 12 by 6)
hope this helps :)