Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. When designing a study to determine this population proportion, what is the minimum number of drivers you would need to survey to be 95% confident that the population proportion is estimated to within 0.05?
If it was later determined that it was important to be more than 95% confident and a new survey was commissioned, how would that affect the minimum number you would need to survey? Why?
a. If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.
b. If the confidence level is increased, then the sample size would need to decrease because increasing the sample size would create an even larger interval.
c. If the confidence level is increased, then the sample size would need to decrease because we would like the proportion of people who buckle up to be around 50%.
d. If the confidence level is increased, then the sample size would not be affected.
Answer:
The value is [tex]n = 384 [/tex]
The correct option is a
Step-by-step explanation:
From the question we are told that
The margin of error is E = 0.05
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally since the sample proportion is not given we will assume it to be
[tex]\^ p = 0.5[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{ 1.96 }{0.05} ]^2 *0.5 (1 - 0.5) [/tex]
=> [tex]n = 384 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
Generally if the level of confidence increases, the critical value of [tex]\frac{\alpha }{2}[/tex] increase and from the equation for margin of error we see the the critical value varies directly with the margin of error , hence the margin of error will increase also
So If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.
A coin is tossed four times what are the odds against the coin showing heads all four times
Answer:
Step-by-step explanation:
The odds for 4 heads = (1/2)^4 = 1/16..
So the odds against is 1 - 1/16 = 15/16.
The odd against the coin showing heads all four times if, A coin is tossed four times is 15 / 16.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.
Given:
A coin is tossed four times,
Total outcomes = (head or tail) × 4 = 2 × 4 = 16
Total favorable outcomes = head = 1,
Calculate the probability of the coin showing a head all four times as shown below,
Probability = Total favorable outcomes / Total outcomes
Probability = 1 / 16
Calculate the odd against the coin showing heads all four times as shown below,
The odd against the coin showing heads all four times = 1 - The probability of the coin showing a head all four times
The odd against the coin showing heads all four times = 1 - 1 / 16
The odd against the coin showing heads all four times = 15 / 16.
To know more about probability:
https://brainly.com/question/743546
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I don’t have one and I’m a sixth grader
Answer:
have one what ?
Step-by-step explanation:
also thats cute. when i was in sixth grade, i was homeschooled.
Answer
Ok good luck in school!
3(y+1) for y=2
A. 6
B. 9
C. 7
D. 8
Answer:
B
Step-by-step explanation:
3(2+1)
3(3)
9
that how i solved it
The boat traveled up the river at 15 miles per hour. To reach their campsite 90 miles up the river, the Roger's traveled twice as long in the afternoon as they did in the morning. How long did they travel in the morning?
Answer:
2 hours
Step-by-step explanation:
oof do u really want it
I will give brainliest :)
1. Which is the solution of -6a > -36
• a 26
• a > -6
• as -6
• as 6
Answer:
the 2nd one a>-6.........
PLEASE HELP ME
Describe the graph of the function
[tex]f{x} = x {}^{3} - 18 {}^{2} + 107x - 210[/tex]
Include the y-intercept, x-intercepts, and the shape of the graph.
Answer:
x-intercept= (4.265,0)
y-intercept= (0,-534)
Step-by-step explanation:
The problem is in the picture
Answer
r=10
Step-by-step explanation:
Which algebraic expression is equivalent to the expression below? 5x + 10x + x
A. 11x
B. 8x
C. 17x
D. 16x
Answer: D
Step-by-step explanation: Just simplify the whole expression. It’s all the same variable. 5x+10x= 15x. 15x+x=16x.
it cost 13.80 for 5 tickets how much would it cost for 3 tickets
Answer:
$8.28
Step-by-step explanation:
So, first we must find the price per ticket so we do
13.80/5 = 2.76
So the $2.76 per ticket
So now all we do to find the price of three tickets we times the price per ticket by 3
2.76 x 3 = $8.28
The security guard at a movie theater observed that approximately 18% of the
600 cars in the parking lot are from out of state. Which is the best estimate for the
number of cars in the parking lot that are from out of state?
A. 400
C. 200
B. 120
D. 12
Answer:
120
Step-by-step explanation:
18/100 x 600 = 108
estimate = round 18 to 20
20/100 x 600 = 120
-7+(12)-(-8)-(9)+(-12)-(-10)+(-5)=
Answer:
-7+(12)-(-8)-(9)+(-12)-(-10)+(-5)= -3
Step-by-step explanation:
Answer:
The answer is -3
Step-by-step explanation:
−7+12−(−8)−9−12−(−10)−5
=5−(−8)−9−12−(−10)−5
=13−9−12−(−10)−5
=4−12−(−10)−5
=−8−(−10)−5
=2−5
=−3
HELP!!!
Select the correct answer.
Which equation describes the line graphed above?
A. y = 3/2x - 6
B. y = 2/3x - 6
C. y = 3/2x + 4
D. y = 2/3x + 4
pls help meeeeeeeeeeee
Answer:
C.
Step-by-step explanation:
It's hard to explain, but trust me :)
5 is subtracted by 4 times a number. 4 times a number is 4x, because x is the unknown number. That would be 4x-5
Then, it says that 4x-5 is greater than 8 times a number. Again, 8 times a number is 8x because x is the unknown number.
And remember, > is greater than, and < is less than.
Hopefully you understand this problem for another time.
The value of y varies directly with x. If x = 4, then y= 10. What is the value of x when
y = 25
A 10
B. 2 1/5
C. 6
D. 15
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Use digits to write the value of the 9 in this number.
139,648
Answer:
Hi the answer would be 9,000 or nine thousand
Step-by-step explanation:
Hope this helps <3
(02.01)A class has 9 boys and 15 girls. What is the ratio in simplest form that compares number of boys to total number of students? A 3:5 B 3:8 C 9:15 D 9:24
Answer:
A
Step-by-step explanation:
9/15 simplifies to 3/5, and : and / are the same, so the answer be 3:5, or A
I need help ASAP I don’t get it
Answer:
The Sitting fee is 10
Calculate the average speed of a train that
completed a 525 km trip in 4.7 h. Round
your answer to the nearest whole number.
Answer:
4
Step-by-step explanation:
Rewrite the radicand as a two factors, One of which is a perfect cube.
Answer:
A
Step-by-step explanation:
Solve for f: (-1/8)f - (3/4) -
(1/4)f = 11
Answer: The answer is f= –31 1/3.
Step-by-step explanation: To solve for f, you’ll need to simplify the both sides of the equation, and then isolating the variable. Use online advanced calculators to calculate the equation to view all the steps.
Carbon is found in ALL of these materials seashells, wood, plants, and water.
Group of answer choices
True
False
Answer:
True because Plants need Carbon Air to grow. Seashells are made of tiny carbon atoms, Wood is 50% carbon and water is H20 known as Hydrogen and Oxygen. Water DOES have some Carbon in it! It gets the Carbon Dioxide from the rain!
The equation of the line that passes through (5, 15) and (2, 6) is y =3x.
True
False
Answer:
true
Step-by-step explanation:
the slope is 3
so the equation would be
y=3x
hope this helps :3
if it did pls mark brainliest
Can someone solve this equation for me? 34 + 12x = 3x - 22
Thanks. Any help is appreciated! :)
Answer: x= -56/9
Step-by-step explanation:
34+12x=3x-22
Subtract 12x from both sides
34=-9x-22
Add 22 to both sides
56=-9x
Divide -9 by both sides to get x alone
56/-9=x
So
x=-56/9
If you bake 3/4 of a cake in 5/6 of an hour, how long does it take to bake 18 cakes
Answer: 15
Step-by-step explanation: 5/6 times 18 = 15 hours
A donor gives $100,000 to a university, and specifies that it is to be used to give annual scholarships for the next 20 years. If the university can earn 4% interest, how much can they give in scholarships each year?
9514 1404 393
Answer:
$7,358
Step-by-step explanation:
Assuming the interest is compounded annually, the amortization formula is useful here.
A = Pr/(1 -(1+r)^-t)
A is the annual scholarship, P is the principal invested at rate r for t years.
A = $100,000(0.04)/(1 -1.04^-20) = $7,358.18
The university could give $7,358 in scholarships each year.
pfvr alguem me ajuda !!!
Answer:
...i cant see the pic
Step-by-step explanation:
There are a total of 32 pieces in a chess set, and 16 of them are pawns. What percent of the chess pieces are pawns?
Answer:
50%
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
32 Divided by 2 equals 16
Analyn is heating a solution in her chemistry lab. The temperature of the solution starts at 10°CShe turns on the burner and finds that the solution's temperature increases by 4°C every minute. This graph shows the temperature change.
Answer:
D
Step-by-step explanation:
if you go 6x and 34 y you get a point on the line.
2. For the equation –3x + 2 = 8 and the inequality
- 3x + 2 > 8, which x-values indicated below are
solutions of the equation and which are solutions
of the inequality?
A. -3
В. -2
C. -1
D. 0
Answer: The answer would be B -2
Step-by-step explanation:It is B because if you put -1 in the equation then that would mean -3 * -2 would be 6 and then you would add 2 which would mean that 6 + 2 would give you the answer of 8 so therefore your answer is B. -2
