A certain forum reported that in a survey of 2005 american adults, 27% said that they believe in astrology.
(a) Calculate a confidence interval at the 99% confidence level for the proportion of all adult Americans who believe in astrology. (Round your answers to three decimal places.) Interpret the resulting interval.
i. We are 99% confident that the true population mean lies below this interval.
ii. We are 99% confident that the true population mean lies above this interval.
iii. We are 99% confident that this interval contains the true population mean.
iv. We are 99% confident that this interval does not contain the true population mean.
(b) what sample size would be required for the width of a 99% CI to be at most 0.05 irrespective of the value of p? Round your answer up to the nearest integer.)
Answer:
Step-by-step explanation:
Using confidence interval concepts, it is found that:
a)
The 99% confidence interval for the proportion of all adult Americans who believe in astrology is (0.244, 0.296).
The interpretation is:
iii. We are 99% confident that this interval contains the true population mean.
b)
A sample size of 664 would be required.
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]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm M[/tex]
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The interpretation of a x% confidence interval between a and b is that we are x% confidence that the true population mean lies in this interval, thus, option iii is correct.
In this problem:
Survey of 2005 adults, thus [tex]n = 2005[/tex].27% believe in astrology, thus, [tex]p = 0.27[/tex].99% confidence interval, thus z has a p-value of [tex]\frac{1 + 0.99}{2} = 0.995[/tex], thus z = 2.575.Then:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 2.575\sqrt{\frac{0.27(0.73)}{2005}}[/tex]
[tex]M = 0.026[/tex]
The interval is:
[tex]M - \pi = 0.27 - 0.026 = 0.244[/tex]
[tex]M + \pi = 0.27 + 0.026 = 0.296[/tex]
The 99% confidence interval for the proportion of all adult Americans who believe in astrology is (0.244, 0.296).
Item b:
Irrespective of the value of p, thus [tex]\pi = 0.5[/tex].Margin of error of [tex]M = 0.05[/tex], and we have to find n:[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 2.575\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.05\sqrt{n} = 2.575(0.5)[/tex]
Dividing both sides by 0.05.
[tex]\sqrt{n} = 2.575(10)[/tex]
[tex](\sqrt{n})^2 = [2.575(10)]^2[/tex]
[tex]n = 663.1[/tex]
Rounding up:
A sample size of 664 would be required.
A similar problem is given at https://brainly.com/question/16807970
525 divided by 15 = 35
Answer:
That is ccorrecct
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
I looked it up
According to the guideline from the Health Department, every over-weight child needs to take a fitness test.
Every ten over-weight children would be randomly grouped together to attend the fitness test. According to
the past experience, the probability for each child to pass the fitness test is 0.75 and whether a child can pass
the test is independent with the test result of other children.
(a) Many test sessions will be conducted regularly, each with 10 independent children. Find the expectation
and standard deviation of the number of children can pass the fitness test in a test session.
(b) Most likely, how many children can pass the fitness test in a test session? Justify your answer by
comparing the two outcomes with the relatively high probability.
(c) Find the probability that less than 8 children can pass the fitness test in one test session.
Answer:
According to the guideline from the Health Department, every over-weight child needs to take a fitness test.
Every ten over-weight children would be randomly grouped together to attend the fitness test. According to
the past experience
Step-by-step explanation:
What is 17>20-x, pls alnswer fast i am taking a test
Are you trying to solve the following:
Inequality of x or Solve for x or Graph
Step-by-step explanation:If you are solving for x then here is your answer:Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x > 3
Interval Notation:
( 3 , ∞ )
Hope this helped and have a good one!
≧◠‿◠≦✌10. Which statement cannot be true? Explain.
A. sin A = 0.5
B.) sin A = 1.2654
C. sin A = 0.9962
D. sin A 3/4
help me pls
Midpoint, as the word suggests, means the point which lies in the middle of something.
The correct option is C. P cannot be the midpoint.
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point which lies in the mid of the given line segment.
here, we have,
Since EN≅NG, therefore, the length of the two segments will be equal, which means P can not be the midpoint of the line segment EG.
Hence, the correct option is C. P cannot be the midpoint.
Midpoint, as the word suggests, means the point which lies in the middle of something.
The correct option is C. P cannot be the midpoint.
Learn more about Midpoint:
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complete question:
attached below.
please help does anyone know this
PLEASE HELP ME!! I DONT UNDERSTAND HOW TO DO THIS PROBLEM, and I need the correct answer
Answer:
C
Step-by-step explanation:
The lines cross at (1,4)
Cost of 750ml at $68 what would be the price of a litre
Answer:
$90.67
Step-by-step explanation:
WILL MARK BRANILIEST
Celia has a playlist of 21 songs that she listens to when she studies. The playlist includes 14 songs by Celia’s favorite band.
If Celia sets the playlist to randomly shuffle the songs with no repeats, what is the probability that first two songs played are by her favorite band?
A. 13/30
B. 4/9
C. 26/63
D. 1/7
Answer:
4/9
Hope it helps!!! :)
4x^2 – 44x + 96 factor polynomial completely step by step
Answer:
4(x-8)(x-3)
Step-by-step explanation:
First take out a factor of 4:
4(x^2 -11x + 24)
Then factor the quadratic
4(x-8)(x-3)
FIST ONE TO AWNSER AND CORRECT GETS BRAINLYIST AND 50 POINTS HURRY!!!!!!!!!!!!
Which graph shows equivalent ratios?
A. On a coordinate plane, a line goes through points (2, 3) and (4, 4).
B. On a coordinate plane, a line goes through points (2, 2) and (3, 6).
C. On a coordinate plane, a line goes through points (1, 2) and (2, 4).
D. On a coordinate plane, a line goes through points (0, 6) and (1, 5).
Answer:
D
Step-by-step explanation:
It is because you can see the line pass through the value 0 in x-axis while 6 in y-axis which gives the first coordinate (x,y) = (0,6) and the line also past through the value of 5 in x-axis and 1 in y-axis which gives the second coordinate is (1,5).
So it is true that the line did go through at points (0,6) and (1,5).
Answer:
B
Step-by-step explanation:
Other guy is wrong
Solve for the value of m.
(4m-5)
(3m+3)
Answer:
put the value m=1/2
3m(4m+5)=3
⇒3×1/2(4×1/2+5)+3
⇒3/2(2+5)+3
⇒6/2+15/2+3
⇒37 ans.
Step-by-step explanation:
For the equation, (4m-5)(3m+3)=37 value of m are 2.21 and -1.96
Equation consist of 2 expression equivalent to each other.
Given the following equation:
(4m-5)(3m+3)=37
To calculate the value of m as follows:
4m(3m+3)-5(3m+3)=37
12m²+12m-15m-15=37
12m²-3m-52=0.................................m)
Using discriminant formula:
[tex]d=b^2-4ac.............................1\\x=\dfrac{-b\pm\sqrt d}{2a}............................2[/tex]
Here, from equation m)
a=12, b=-3, c=-52
Substituting in equation 1
d=(-3)²-4(12)(-52)
d=2505
√d=50.04
[tex]m=\dfrac{3\pm 50.04}{2\times 12}\\\\m=2.21 \text{\ and\ } m=-1.96[/tex]
Thus value of m are 2.21 and -1.96
Learn more about an equation, here:
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Complete question:
(4m-5)(3m+3)=37
Guys since everyone is quick with answers pls answer this for me..?
Answer:
point A
Step-by-step explanation:
PLEASE HELP!!
a) 16 units
b) /~13 units
c) 20 units
d) /~ units
Convert
80.1
%
80.1% to a fraction in simplest form and a decimal.
Answer:
Step-by-step explanation:
Answer:
801/1000 and 0.801
Step-by-step explanation:
A percentage is basically a number, with the decimal point moved to the right 2 places, so to convert the percent to a decimal, move the decimal point to the left twice, and then you will also get your fraction.
Hope this helps!
Two cubes are shown. If the side length of each cube is 3 feet, what is the total volume of the two cubes?
Answer:
12
Step-by-step explanation:
pLEASE HELP first how do I get to the next question and what am I supposed to graph and what’s the answer
Answer:
Option D will be your answer
▪ no solution
Step-by-step explanation:
hope it's helpful...
I'll mark brainliest!
Answer:
C is your answerrrr
can i have brainliest?
Step-by-step explanation:
Answer:
The answer is c
this is the answer because Find the least common denominator or LCM of the two denominators:
LCM of 3 and 8 is 24
Next, find the equivalent fraction of both fractional numbers with denominator 24
For the 1st fraction, since 3 × 8 = 24,
1/3 = 1/3 × 3/8 = 8/24
Likewise, for the 2nd fraction, since 8 × 3 = 24,
3/8 = 3/8 × 1/3= 9/24
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
8/24 < 9/24
or 1/3 < 3/8
A baseball player throws a ball from second base to home plate. How far does the player throw the ball? Include a diagram showing how you got your answer. Decide how many decimal points of accuracy are reasonable. Explain your reasoning.
Answer:
Distance=123.28. Two decimal places is reasonable, because it gives a close approximate to the exact answer, while remaining short and easy to use.
Step-by-step explanation:
Use Pythagorean theorem.
90^2+90^2=c^2
8100+8100=16200
The square root of 16200 is 127.279220614
127.279220614~127.28
How many times larger is 1.2*10^8 than 6*10^3
Answer:
1.2×10⁸ is greater than 6×10³ by a factor of 2×10⁴, or 20000.
Step-by-step explanation:
You can solve this simply by dividing the first one by the second one:
[tex]\frac{1.2\times 10^8}{6\times 10^3} \\\\= \frac{1.2}{6} \times \frac{10^8}{10^3} \\\\= \frac{12}{6} \times \frac{10^7}{10^3} \\\\= 2.0 \times 10^4 \\\\[/tex]
Bart practices his trumpet 1 ¼
hour each day for 5 days. How
much did he practice altogether?
Answer:
150 hours or 6.25 days
Step-by-step explanation:
5 days = 120 hours
120 hours × 1.25 hours = 150 hours
150 hours = 6.25 days
HOPE THIS HELPS!!!
-Silver
Answer:
6.25 hours
Step-by-step explanation:
1 ¼ × 5 = 6.25
What's the equation of this sequence 4,8,16,32,64,128,256
Answer:
n x 2
Step-by-step explanation:
n x 2
4,8,16,32,64,128,256 , 512,1024,2048...
Which equation can be used to find the volume of this solid
Answer:
The volume of a solid is the measure of how much space an object takes up
The expression (2 x 7) x 3 represents the number of times Brandon went to the beach each week during 3 months. Which property is applied to write the equivalent expression 2 x (7x 3)? A. Distributive Property B. Commutative Property of Addition C.Associative Property of Multiplication D.Identity Property of Multiplication
Answer:
B. Distributive property
Step-by-step explanation:
Because (2 times 7) times 3 is the same as 2 times (7 times 3)
The numbers are just put different, and makes a different answer.
So, just because the answers are the same, doesn't make them commutative property,
So, the answer is B. Distributive propertyIf a plane travels over the Pacific Ocean in 2 hours, what is the traveled distance?
Answer:
The plane went as as much in mph as he went in 2 hours
ex: 1mph =2 miles in 2 hours
ex2: 48mph =96 miles in 2 hours
Over with interval of the domain is fungi on m negative
PLEASEEEEE SOMEBODY CAN YOU LOOK AT THE ATTACHMENTS ITS MATH IM OFFERING A 69 POINTS
I don't know sorry but I recommend using quizlet
I REALLY NEED HELP THIS IS URGENT.
Answer:plot at 50 degres
Step-by-step explanation:
Select the correct answer.
What is the value of x in this linear system?
2x + 8y – z = -9
y + z = 7
-x– y + z = 8
A.0
B.-7
C.7
D.-1
How many ounces are in 70 pounds? (1 pound= 16 ounces)
*answer must include units!!*
Answer:
1120 ounces
Step-by-step explanation:
1 pound=16 ounces
so 70 pounds =x
just multiply 70 by 16 then you will have the number of ounces
70pounds*16ounces=1120ounces
Answer:
1,120 onces is in 70 pounds
multiply the mass units by 16.