Answer:
True
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which z is related to the confidence level(the higher the confidence level the higher z is), s is related to the standard deviation and n is the size of the sample.
A higher confidence level leads to a larger margin of error, that is, a wider interval. The interval expands around it's lower and upper bounds, which means that if a value is part of a lower confidence interval(such as 95%), it will be part of the higher(such as 99%), and the answer to this question is true.
Consider the circle.
If points W and X are the endpoints of a diameter on the circle, what is the value of x?
Answer:
x = 18Step-by-step explanation:
Find the diagram attached
If W and X are the endpoints of a diameter on the circle, this means that arc WX is 180degres
Since the angle at the vertex is half the angle at the intercepted arcs.
<V = 1/2(arcWX)
4x+18 = 1/2*180
4x+18 = 90
4x = 90-18
4x = 72
x = 72/4
x = 18
Hence the value of x is 18
An insurance company selected samples of clients under 18 years of age and over 18 and recorded the number of accidents they had in the previous year. The results are shown below.
Under Age of 18 Over Age of 18
n1 = 500 n2 = 600
Number of accidents = 180 Number of accidents = 150
We are interested in determining if the accident proportions differ between the two age groups.
Q1. Let P, represent the proportion under and p, the proportion over the age of 18. The null hypothesis is:_____.
a. pu - po < 0.
b. pu - po > 0.
c. pu - P ≠ 70.
d. Pu - Po = 0.
Q2. The 95% confidence interval for the difference between the two proportions is:____.
a. (150, 180).
b. (0.25, 0.36).
c. (0.055, 0.165).
d. (0.045, 0.175).
Answer:
Q1 z(s) is in the rejection region for H₀ ; we reject H₀. We can´t support the that means have no difference
Q2 CI 95 % = ( 0,056 ; 0,164 )
Step-by-step explanation:
Sample information for people under 18
n₁ = 500
x₁ = 180
p₁ = 180/ 500 p₁ = 0,36 then q₁ = 1 - p₁ q₁ = 0,64
Sample information for people over 18
n₂ = 600
x₂ = 150
p₂ = 150 / 600 p₂ = 0,25 then q₂ = 1 - p₂ q₂ = 1 - 0,25 q₂ = 0,75
Hypothesis Test
Null hypothesis H₀ p₁ = p₂
Alternative Hypothesis Hₐ p₁ ≠ p₂
The alternative hypothesis indicates that the test is a two-tail test.
We will use the approximation to normal distribution of the binomial distribution according to the sizes of both samples.
Testin at CI = 95 % significance level is α = 5 % α = 0,05 and
α/ 2 = 0,025 z (c) for that α is from z-table:
z(c) = 1,96
To calculate z(s)
z(s) = ( p₁ - p₂ ) / EED
EED = √(p₁*q₁)n₁ + (p₂*q₂)/n₂
EED = √( 0,36*0.64)/500 + (0,25*0,75)/600
EED = √0,00046 + 0,0003125
EED = 0,028
( p₁ - p₂ ) = 0,36 - 0,25 = 0,11
Then
z(s) = 0,11 / 0,028
z(s) = 3,93
Comparing z(s) and z (c) z(s) > z(c)
z(s) is in the rejection region for H₀ ; we reject H₀. We can´t support the idea of equals means
Q2 CI 95 % = ( p₁ - p₂ ) ± z(c) * EED
CI 95% = ( 0,11 ± 1,96 * 0,028 )
CI 95% = ( 0,11 ± 0,054 )
CI 95 % = ( 0,056 ; 0,164 )
if f(x)= 9+3x, find f(-2)
Answer:
f(-2) =3
Step-by-step explanation:
f(x) = 9+3x
Let x=-2
f(-2) = 9+3(-2)
= 9-6
= 3
f ( -2 ) = 9 + 3( - 2 )
f ( -2 ) = 9 - 6
f ( -2 ) = 3
Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,045 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,045 surveyed, 471 indicated that they were satisfied. Construct a 99% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed.
Answer:
let p be the population proportion of parents who had children in grades k-12 were satisfied with the quality of education the students receive.
Step-by-step explanation:
Find the length of the arc in terms of pi A 144° 10 AB = [?]
Answer:
Arc AB = 8π
Step-by-step explanation:
Length of arc = central angle/360 × 2πr
Where,
Central angle = measure of arc AB = 144° (central angle theorem)
r = radius = 10
Length of arc AB = 144/360 × 2 × π × 10
= 8π
Question
Raymond wants to estimate the percentage of parents who use cloth diapers. He asks a randomly selected group of 200
parents whether or not they use cloth diapers. What is the data?
Answer:
Step-by-step explanation:
Given : Raymond wants to estimate the percentage of parents that use cloth diapers. He asks a randomly selected group of 200 parents whether or not they use cloth diapers.
The parameter are the number which are used to represents the quantity of a particular characteristic in entire population.
We know that to estimate the percentage of success we use the proportion of success parameter "p".
Hence, the parameter here is "p" , the proportion of parents that use cloth diapers.
Answer:
specific "yes" or "no" responses to the survey
Step-by-step explanation:
Got it right
75,15,3 find the 6th term
Kamal invested $1200 in a savings acc paying 1.8% per yr compound interest.
he left the money in the acc for 5 yrs.
what is the amount of money in the acc at the end of 5 yrs???
give the ans with working and to the nearest cent
Answer:
A = $1311 and 96cents
Step-by-step explanation:
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
P = $1200
r = 1.8% = 0.018
n = 1 (compounded yearly)
t = 5
[tex]A = 1200(1 + 0.018)^5 = 1200 \times(1.018)^5 = 1311. 96[/tex]
Select the correct answer.
Which graph models the function f(x) = 2(x – 4)^2 + 3
Answer:
the graph is going to be facing up not down
Can someone help please? 3 |x+1|>5
Answer:
The Answer as you see
Step-by-step explanation:
Have a good luck with ur Exam
Simplify the following expression:
(3i+ 4) -i + 4(6 +2i)
A. 14+8i
B. 27 + 11i
C. 14+41i
D. 28 + 10i
9514 1404 393
Answer:
D. 28 +10i
Step-by-step explanation:
As with any "collect terms" problem, you first identify the like terms, then add their coefficients. You can start with either the real or the imaginary terms to obtain a result that will point you to the correct answer choice. Of course, the distributive property works in the usual way.
(3i+ 4) -i + 4(6 +2i) = 3i +4 -i +24 +8i . . . . eliminate parentheses
= (4 +24) +(3 -1 +8)i . . . . . . . group like terms
= 28 +10i
Find the missing side.
Answer:
90-30=60
Its 60 because its a right angle triangle
Pedro thinks that he has a special relationship with the number 5. In particular, Pedro thinks that he would roll a 5 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Pedro will roll a 5. (Note you will need to find the probability of getting a four when rolling a fair 6-sided die like we did in chapter 3 so that you can compare p to this value.)
(a) State the null and alternative hypotheses for testing Pedro's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "<", ">", "=", "not =", ">=", or "<=" and express any values as a fraction e.g. p = 1/3) H0 = Ha =
(b) Now suppose Pedro makes n = 38 rolls, and a 5 comes up 8 times out of the 38 rolls. Determine the P-value of the test: P-value =
(c) Answer the question: Does this sample provide evidence at the 5 percent level that Pedro rolls a 5 more often than you'd expect? (Type: Yes or No)
Answer:
1.)
H0 : p = 1/6
H1 : p > 1/6
2.)
Pvalue = 0.3029
3.)
No
Step-by-step explanation:
Probability of rolling 5 in a 6-sided die by chance :
Number of 5's = 1
Number of 6 = 6
p = 1/6
The Null hypothesis :
H0 : p = 1/6
Since Pedro thinks he'd roll more than just by chance ;
Alternative hypothesis :
H1 : p > 1/6
Given that :
n = 38 ` x = 5
Phat = x / n = 5 / 38
Teat statistic : (phat - p) / √p(1-p)/n
1-p = 1 - 1/6 = 5/6
phat - p = 5/38 - 1/6 = −0.035087
√p(1-p) /n = (1/6 * 5/6) / 30 = √0.0046296 = 0.0680
Test statistic = −0.035087 / √0.0046296 =
Test statistic = −0.515673
Using the Pvalue calculator :
Pvalue at 0.05 , 1 - tail = 0.3029
Pvalue = 0.3029
Hence, at α = 0.05
Pvalue > α ;
There is no evidence to support Pedro's claim
Of 60 randomly chosen students from a school surveyed,16 chose aquarium as their favorite fiel trip.There are 720 students in the school.predict the number of student in the school who chose aquarium
Answer:
192 students
Step-by-step explanation:
60 randomly students surveyed
16 chose aquarium as their favorite field trip.
720 students in total.
[tex]\frac{16}{60}[/tex] = [tex]\frac{?}{720}[/tex] =
720 × 16 ÷ 60 =
192 students
I need help with this asap thank you so much
Answer:
C
Step-by-step explanation:
Eight trials are simulated. The results are shown in the table.
Simulation
109 105 112 110
115 106 108 109
What is the estimated margin of error, using standard deviation?
Answer:
3.33
Step-by-step explanation:
I just took the test! :D
The estimated margin of error, using standard deviation is 3.33.
What is the estimated margin of error, using standard deviation?The margin of error shows an estimated percentage, or that surrounds a guess related to the real value of the population. For example, a confidence interval that has a margin of error tells you that your findings will be within the real population value of the time.
Typically, the higher the standard deviation, the more dispersed the data is. Understanding standard deviation is an essential part of calculating the margin of error for your data. If you do not have the value for your sample data proportion.
Standard deviation describes variability within a single sample, while standard error describes variability across multiple samples of a population. Standard deviation is a descriptive statistic that can be calculated from sample data, while standard error is an inferential statistic that can only be estimated.
Learn more about errors here:-https://brainly.com/question/11472659
#SPJ2
PLEASE HELP! I've had to ask this question FOUR times now.
For a linear regression, what is the value of the following data to three decimal places? X 1 4 6 7 9 11 2016 22 14 O A. 0.949 O B.-0.949 O C. 0.901 D. 0.901
9514 1404 393
Answer:
A. 0.949
Step-by-step explanation:
Use your favorite calculator or spreadsheet to compute the correlation coefficient.
r ≈ 0.949
_____
Additional comment
The values of y generally increase as the values of x increase--with only one exception. This tells you the correlation coefficient is positive and fairly high. Of the two positive choices 0.901 and 0.949, the higher one is the better guess.
Assume that we want to estimate the mean IQ score for the population of statistics students. How many statistics students must be randomly selected for IQ tests if we want 95% confidence that the sample mean is within 3 IQ points of the population mean? The Standard Deviation is 15.
Answer:
97 students must be randomly selected for IQ tests.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The Standard Deviation is 15.
This means that [tex]\sigma = 15[/tex]
How many statistics students must be randomly selected for IQ tests if we want 95% confidence that the sample mean is within 3 IQ points of the population mean?
This is n for which M = 3. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]3 = 1.96\frac{15}{\sqrt{n}}[/tex]
[tex]3\sqrt{n} = 1.96*15[/tex]
Simplifying both sides by 3
[tex]\sqrt{n} = 1.96*5[/tex]
[tex](\sqrt{n})^2 = (1.96*5)^2[/tex]
[tex]n = 96.04[/tex]
Rounding up(as with a sample size of 96 the margin of error will be slightly above 3):
97 students must be randomly selected for IQ tests.
I need help with this, please
none of the above
Step-by-step explanation:
SSS - only two legs are defined so this doesn't apply
SAS - the two legs of one triangle are not proportional to the legs of the other triangle.
AA - only one angle is defined to be congruent to the other (the rule requires two)
express 30kmph in M/S
Step-by-step explanation:
30×5/18
25/3
=8.33 m/s
!!!!!!!!!
Answer:
I think the answer is 8.33 (rounded to 2 decimal points)
Convert 10π/6 radians into degrees.
We know that ,
[tex]\pi rad = 180^o[/tex]
SOLUTION :Using Unitary Method ,
[tex]\implies 1 \ rad = \dfrac{180^o}{\pi } [/tex]
Therefore ,
[tex]\implies \dfrac{10\pi}{6} rad = \dfrac{10\pi}{6} * \dfrac{180^o}{\pi } [/tex]
[tex]= \boxed{\red{ 300^o }}[/tex]
Required answer !
Patel made a rectangular garden in his family's backyard. 24 ft What is the perimeter of the garden? A 336 feet B 76 feet C 48 feet D 38 f
Answer:
336+76+48+38= 498
Step-by-step explanation:
add all those sides up because it is just the perimeter
Answer:
336+76+48+38= 498
Step-by-step explanation:
Fill in the blanks. Suppose the probability at a light bulb factory of a bulb being defective is 0.11. If a shipment of 133 bulbs is sent out, the number of defective bulbs in the shipment should be around __________, give or take __________. Assume each bulb is independent.
Answer:
The number of defective bulbs in the shipment should be around 15, give or take 4.
Step-by-step explanation:
For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Suppose the probability at a light bulb factory of a bulb being defective is 0.11
This means that [tex]p = 0.11[/tex]
Shipment of 133 bulbs:
This means that [tex]n = 133[/tex]
Mean and standard deviation:
[tex]E(X) = np = 133*0.11 = 14.63[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{133*0.11*0.89} = 3.61[/tex]
Rounding to the nearest integers:
The number of defective bulbs in the shipment should be around 15, give or take 4.
Help!!!!!!Solve for X. Round to the nearest tenth of a degree, if necessary.
Which graph represents the equation (x – 3)2 + y2 = 16?
Answer:
It is B on edge
Step-by-step explanation:
Cant really put it in here so look at photo Ö
Answer:
42
Step-by-step explanation:
I am preety sure !
PLEASE HELP I WILL GIVE BRAINILEST which question shows The function Y equals 2^X translated four units left and two units down a y-2=2^x-4. b y+4=2^x-2. c y-4=2^x +2. d y+2 =2^x+4
5th grade math. correct answer will be marked brainliest
210 - 30 = 180
180 ÷ 15 = 12
12 weeks
It would take her 12 weeks to pay for the DVD player.
which of the following triangle is an obtuse triangle
Answer:
An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.
Here, the triangle ABC is an obtuse triangle, as ∠A measures more than 90 degrees.
A rectangle has a length of (x+6) units and a width of (x - 5) units.
What is the area of the rectangle in terms of x?
A (x^2 – 30) square units
B (x^2 +30) square units
C (x^2– x+30) square units
D (x^2+– 30) square units
Answer:
x² +x -30
Step-by-step explanation:
A = length * width = (x+6)(x-5) = x² -5x+6x-30= x²+x -30