Answer:10th place
Step-by-step explanation:
MADD (Mother's Against Drunk Drivers) wishes to estimate the proportion of adult drivers that have run at least one red light in the last month. A poll is conducted on a simple random sample of adult drivers and it is found that out of 1251 adult drivers, 641 of them have run at least one red light in the last month. You will be finding a 90% confidence interval for the fraction of adult drivers that run at least one red light in the last month.
Check that the normality assumptions are met?
Interpret the confidence interval obtained.
Answer:
Normality assumptions are met.
The 90% confidence interval for the proportion of adult drivers that run at least one red light in the last month is (0.4892, 0.5356). The interpretation is that we are 90% sure that the true proportion of all adult drivers than ran at least one red light in the last month is between these bounds.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Out of 1251 adult drivers, 641 of them have run at least one red light in the last month.
This means that [tex]n = 1251, \pi = \frac{641}{1251} = 0.5124[/tex]
Normality assumptions:
We need that: [tex]n\pi[/tex] and [tex]n(1-\pi)[/tex] are 10 or greater. So
[tex]n\pi = 1251*0.5124 = 641[/tex]
[tex]n(1-\pi) = 1251*0.4876 = 610[/tex]
So the normality assumptions are met.
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5124 - 1.645\sqrt{\frac{0.5124*0.4876}{1251}} = 0.4892[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5124 + 1.645\sqrt{\frac{0.5124*0.4876}{1251}} = 0.5356[/tex]
The 90% confidence interval for the proportion of adult drivers that run at least one red light in the last month is (0.4892, 0.5356). The interpretation is that we are 90% sure that the true proportion of all adult drivers than ran at least one red light in the last month is between these bounds.
The reciprocal of 7/2 is 2/7. What does that mean?
Answer:2/7
Step-by-step explanation: A reciprocal is the "mirror image" of a fraction so the reciprocal is the fraction upside down.
Complete the following statement. Use the integers that are closest to the number in the
middle.
<- √54<
Submit
I don't know this yet
First Box=-4 Second Box=-3
Step-by-step explanation:
HELP! WILL GIVE BRANLIEST!
Answer:
u r correct
Step-by-step explanation:
work out the size of angle x 101 degrees and 38 degrees
Answer:
the inside angle beside 101 is 180-101 = 79 degrees.
the angle beside x = 180-(79+38).
that is 63 degrees.
therefore the angle x = 180-63 that's
117 degrees
math HELPPPO MEWEEE PLZZZZ
Answer:
63.5 is the correct answer
In 1960 sociologists studied a random sample of 1,018 families that consisted of a husband, a wife, and at least one child. Of those families, 5.8 percent reported that the wife was the primary wage earner of the family. In 2011 the study was replicated with a random sample of 1,013 families that consisted of a husband, a wife, and at least one child. Of those families, 22.3 percent reported that the wife was the primary wage earner of the family. Which of the following represents a 99 percent confidence interval for the difference between the proportions of families that consisted of a husband, a wife, and at least one child from 1960 to 2011 that would have reported the wife as the primary wage carner? (0.223)(0.777) (0.058) (0.942)
(A) (0.223-0.058) 1.96L03 ) (223-0058) ±196 1.013 1 1.018
(B) (0.223-0058) 226(07,(0580942 1,013 1,018
(C) (0.223-0058)2.576, (02230772)(0.45810942 (0.058)(0.942) 1,018
(D) (0.223-0.058) t2.326, 2,031 1,013 1.018
(E) (0.223-0058)?2.57612031(1.013 +1.18
Answer:
(0.223 - 0.058) ± 2.576 * sqrt[((0.223)(0.777))/1018 - ((0.058)(0.942))/1013]
Step-by-step explanation:
Given that :
P1 = 22.3% = 0.223
q1 = 1 - P1 = 1 - 0.223 = 0.777
Sample size, n1 = 1018
P2 = 5.8% = 0.058
q2 = 1 - P2 = 1 - 0.058 = 0.942
Sample size, n2 = 1013
Confidence level, Zcritical at 99% = 2.576
Using the relation :
(P1 - P2) ± Zcritical * Sqrt[(P1q1/n1 + P2q2/n2)
(0.223 - 0.058) ± 2.58 * sqrt[((0.223)(0.777))/1018 - ((0.058)(0.942))/1013]
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
they all go straight across
Step-by-step explanation:
Answer:
Go across from each
Step-by-step explanation:
Holly works at a garage.
Mr Bakir brings his car in for a service.
He also buys 2 tyres and a battery.
Holly has this list of costs
• service £110
• tyres £49.99 each
• battery £89
She uses this list to start to work out the bill for Mr Bakir.
Holly also has to charge 20% VAT on the costs to work out the total bill.
Work out the total bill. (You MUST show your working in the box below)
(4 Points)
Wha is 65X12X13? Plzzzzzzz jlp
Answer:
65 x 12 x 13= 10,140
The table below gives a record of variations of the values of y with the values of x. Draw a scatter plot for the data.
Answer:
can you please show the table as it is not here
PLEASE HELP
determine the intercepts of the line
x intercept (__ , __)
y intercept (__ , __)
Answer:
i think y=2 and x=-7
Step-by-step explanation:
which of the following ordered pairs is a solution of the equation -2y + 9 = -x? A.(2,5) B.(-3,15) C.(4,-1)
Answer:
Step-by-step explanation:
-2y + 9 = -x
x - 2y = -9
Plug in each set of points and see if the equation holds true.
A. 2 - 2(5) = ?
B. -3 - 2(15) = ?
C. 4 - 2(-1) = ?
I don't think that any of them work.
Supplementary angles, please help! 1,2, and 3
Answer:
1) 180 - 17 = 163
2) 180 - 124 = 56
3) 180 - 86 = 94
Zach bought a video game that was 30% off. He paid $40 for the video game. How much was the game ORIGINALLY? (40 is the AMOUNT PAID so what Percent was me use to match that PART?)
Answer:
57.14$
Step-by-step explanation:
70/100 ( Remember 30% off so only paid 70% of original price) = 40/x ( 40$ is the price paid, x is the unknown original price)
70 = 40
100 X
40×100 = 4,000
4,000÷ 70X = 57.14
ILL GIVE BRAINLESTTTTT
Answer:
11/6 - 5/6 = 6/6
Step-by-step explanation:
what is the value of x?
2
3
6
7
Due to manufacturing error, three cans of regular soda were accidentally filled with diet soda and placed into a 24 pk. Suppose that two cans are randomly selected from the 24-pk.
a) Determine the probability that both contain diet soda.
b) Determine the probability that both contain regular soda.
c) Determine the probability that exactly one is diet and exactly one is regular.
I'm not knowledgeable about how to write this out to solve it? Please help?
Hope this helps you If you need any more help let me know in the comments
the perimeter of square is 48cm.its area is
Answer:
144
Step-by-step explanation:
48cm divided by 4 sides equals to 12cm.
Area equals to 12cm times 12cm which is equal to 144 cm square
jen wants to plant trees in her garden that require 10 feet of soace per tree . how many trees can she plant in her garden
Answer:
Step-by-step explanation:
1+1=22 SO 10 FEET OF THAT WILL BE UP YOU A
SS
Answer:
Step-by-step explanation:
1+1=22 so 10 feet of that will be up you a
Factor the algebraic expression.
12a +9
Answer:
110
Step-by-step explanation:
because you have to add the number
Can someone help meee
At Central Theatre, the cost of a matinee movie is under $5.50. The cost of a
popcorn is exactly $2.25. Write an inequality for the possible total cost, c, of a
movie and popcorn. Show your work.
Answer:
5.50 + 2.25 ≥ c
Step-by-step explanation
Movie = 5.50
Popcorn = 2.25
C = The total cost
5.50 + 2.25 = C
Pls help it's due tonight!!!
:((((((
Answer:
∆EDA~∆ECB (AAA)
3÷ (15+3) = AB ÷ (12+AB)
AB = 2.4
Which of the following describes volume? I. the amount of frosting on a cake II. the amount of space in a sock drawer III. the distance between two cities IV. the amount of fabric needed to cover a couch cushion
A. II
B. III
C. IV
D. I
Answer:2
Step-by-step explanation:
Can some one please help me with this math assignment . I would be really grateful
What is 5x5+34-10 pls need help
What is the answer to
2x squared?
Answer:
it’s just 2x^2
it’s not factorable
In terms of x, what are the dimensions of a rectangle whose area is represented by the
expression 49x2 - 16?
Please help
Consider an angle with a measure of θ=225∘.
Sketch a diagram representing the situation.
Determine the measure of the reference angle for this angle.
_______°
Now, determine the exact values of the following expressions. Your answers should include fractions and square roots, and not decimal values.
cos(θ)=
sin(θ)=
tan(θ)=
Answer:
cos 225° = [tex]-\frac{\sqrt{2} }{2}[/tex]
sin 225° = [tex]-\frac{\sqrt{2} }{2}[/tex]
tan 225° = 1
Step-by-step explanation:
I cannot sketch a diagram, but a 225° angle is a 3rd quadrant angle and the reference angle is 45° (225 - 180 = 45)
cos and sin are negative in the 3rd quadrant and the tan is positive
cos 225° = - cos 45° = [tex]-\frac{\sqrt{2} }{2}[/tex]
sin 225° = -sin 45° = [tex]-\frac{\sqrt{2} }{2}[/tex]
tan 225° = tan 45° = 1