A bank wants to estimate the difference in the proportion of its "big" customers who have a second account with a different bank and the proportion of its "small" customers who also have an account with another bank. Of the 200 "big" customers randomly selected, 160 claimed to also bank elsewhere. Of the 300 "small" customers randomly selected, 120 claimed to also bank with other banks. Check the conditions for constructing a confidence interval for the difference in proportions.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
To construct confidence interval for difference in proportion ; the following conditions must be met :
1.) The selected samples must have been randomly chosen or selected from a larger population. This is essential in other to eliminate bias.
Each group of samples must be independently chosen. That is, the samples of bug customers chosen must be independent of the sample of small customers selected.
The population from which the samples are drawn must be considerably larger than the sample size. Sample size, n should be ≤ 10% of the population size.
p1 = 160 / 200 = 0.8 ; (1 - p1) = 0.2
p2 = 120 / 300 = 0.4 ; (1 - p2) = 0.6
(p1 - p2) ± Zcritical * sqrt[(p1(1 - p1) /n1) + (p2(1 - p2) / n2)]
Answer: A
Step-by-step explanation:
Related Questions
What is the length of the diagonal of a cube with a side length of 5 cm? Round to the nearest tenth.
O 7.1
O 8.7
O 21.3
O 26.7
Answers
Answer:
8.7
Step-by-step explanation:
formula
d = sqrt(s^2 + s^2 + s^2)
d = sqrt(3*5^2)
d = sqrt(75)
d = 8.7
Where did I get the formula? If the cube sits on one of its faces then the diagonal of that face is sqrt(s^2 + s^2) = sqrt(2s^2)
Now to get the third s^2, you have to realize the the diagonal you calculated in the previous remark is one of the legs for the cube's corner to corner diagonal. The other leg is the height squared which is also s^2.
Answer:
hello love! your answer is 8.7cm :)
Step-by-step explanation:
i got it right on edge !
Please help me simplify this!!! Thank you so much.
Answers
Answer:
[tex] {3}^{2} [/tex]
Step-by-step explanation:
♡ Good Lessons ♡
Answer:
it's indices tho so you'll use addition/subtraction rule
Which number is a multiple of 7? A 27 B 48 C 56 ET D 74
Answers
Answer:
C. 56
Step-by-step explanation:
7*8=56
What should be included in a financial plan to protect assets?
Answers
Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 17 Pennies 10 Dimes 19 Nickels 21 Quarters What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, another nickel? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answers
Answer:
19/67
Step-by-step explanation:
I think this would be the answer. You add up 17,10,19, and 21, and then use the PROBABILITY of drawing the nickels which would be 19/67, im not sure tho, let me know if it works
Original price of a computer: $2,600.00
Tax: 6%
What is the sales tax for this computer?
Answers
Answer:
156 is the tax
Step-by-step explanation:
2600 x .06 = 156
please answer
Step by step
Answers
Answer:
B) 20°
Step-by-step explanation:
The top half of the circle is equal to 180°...
13x + 3x + 2x = 180°
18x = 180°
x = 10°
Angle EOD is the opposite angle of 2x
2 (10) = 20°
Help help help help help help
Answers
Answer:
18.457
Step-by-step explanation:
If baseball were played on Mars, the balls would fly much farther than they
do on Earth. One could then speculate that the number of home runs hit
would be much greater on Mars. Mike expects that he would hit 50% more
home runs if he were playing baseball on Mars. If he hit 76 home runs on
Earth, how many home runs does he expect he would hit on Mars?
Answers
Answer: 114 homeruns on mars
Step-by-step explanation: 76 homeruns x 0.5 = 38
76+38 = 114
Read each problem and decide what operation you
use to evaluate it. Then write the equation and solve
D1. The area of a rectangle is 14. sq cm
and one side is 4 cm. How long is the
other side?
Answers
Answer:
b = 3.5 cm
Step-by-step explanation:
Given that,
The area of a rectangle, A = 14. sq cm
The length of one side, l = 4 cm
We need to find the length of another side. The formula for the area of a rectangle is given by :
A = lb
So,
[tex]14=4b\\\\b=\dfrac{14}{4}\\\\b=3.5\ cm[/tex]
So, the length of the other side is equal to 3.5 cm.
A side of 6 feet, and a 120° angle
A. One
B. None. C. Many
Answers
Answer:
C. Many ang sagot............
9/11 = c/55
c=???
answwedbhksjbdew
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Answers
Answer:
C=45
if 9/11 = c/55 you have to divide the c/55 by 9/11, resulting in c/9 = 5
multiply 9 by 5 to get 45
Step-by-step explanation:
Brainiest please!
Sue needs to drive 372 miles to visit her aunt. She stopped at a gas station one-third of the way in to her trip. How many miles has she traveled?
Answers
Answer:
Sue has traveled 124 miles.
Step-by-step explanation:
Here, the distance covered by Sue is a fraction of the total distance to be covered.
The total distance to her aunt's = 372 miles
but the gas station is at one-third of the distance to be covered.
Thus,
Miles traveled by Sue = [tex]\frac{1}{3}[/tex] x 372
= 124
Miles traveled by Sue = 124 miles.
Therefore Sue has traveled 124 miles.
Which of the following is equivalent to the expression below?
4x + 2(3-x)
6x + 6
3x+6
5x + 6
2x +6
Answers
Answer:
2x + 6
Step-by-step explanation:
you have to factorize the above equation first and you'll get the answer
What is 863 divided by 4
Answers
Answer:
215.75
Step-by-step explanation:
. .
----
A baseball is thrown upwards from an elevation of 64 feet. The ball reaches a
maximum elevation of 100 ft after one-and-a-half seconds and lands on the
ground (elevation of Oftafter four seconds.
A quadratic function models this situation. On the grid below, sketch a graph
of this function.
What is the y-intercept? Label. What does it represent in the context of
the problem?
Baseball Throw
100
90
What is the x-intercept? Label. What does it represent in the context of
the problem?
80
70
60
What is the vertex? Label. What does it represent in the context of the
50
problem?
40
30
What is the Domain of your sketch?(written in proper form)
20
10
What is the Range of your sketch? (written in proper form)
0
0 1 2 3 4
Time (seconds)
Elevation (ft)
Answers
Answer:
Hello, I am having difficulties understanding thsi question, could youplease help me out so I can help you out?
Step-by-step explanation:
Thank you! -Brainly UserWhat is the solution to the equation?
19 + 13x = 32
Record your answer in the boxes
below.
00000.00
+/-
I give brainleist
Answers
Answer:
the answer is x=1
Step-by-step explanation:
minus 19 on both sides
then divide by 13 on both sides
Will give brainless
This is due tomorrow at 12pm
Answers
Answer:
The most common rock-forming minerals are quartz, feldspar, mica, pyroxene, amphibole, and olivine. The most reliable way to identify a mineral is by using a combination of several tests. A crystal is a solid in which the atoms are arranged in repeating patterns.
Kevin takes classes at both Westside college and Pinewood college at Westside class fees are $98 per credit hour and Pinewood they are $115 per credit hour. Karen is taking combined total of 18 credit hours at the two schools. Suppose that she's taking W credit hours at Westside. Write an expression for the combined total dollar amount that she paid for the class fees
Answers
Answer:
y = 98(w) + 115(18 - w)
Step-by-step explanation:
The expression that represents how much Kevin spends for classes at both schools : (#credits at Westside)($98) + (#credits at pinewood)($115). If he takes all credits at Westside this is 18(98) + 0, which would be the lowest cost it could be, if he takes all credits at Pinewood this would be 0 + (18)(115) which would be the maximum Bob could pay for 18 credits. If y is the total cost of is courses, then y = 98(w) + 115(18 - w). Using the distributive property, this can be simplified.
Who can figure out the answer (3 x 1) +(6x 100)=X
Answers
Answer:
26
Step-by-step explanation:
will someone help me with this?
Answers
height of movable brigde 37cm
width of movable brigde 85 cm
Solve: 7.2h = 57.6 A. h= 0.8 B. h = 8 C. h = 50.4 D. h = 80
Answers
Answer:
B. h=8
Step-by-step explanation:
The answer is B. h=8. I know because I solved to get h by itself. First, I set up the problem.
7.2h=57.6
Then, I divided each side by 7.2, so I could get h by itself.
h=8
You can check to make sure this is correct by plugging in the value we got for h into the equation.
7.2(8)=57.6
In conclusion, the answer is B. h=8
According to the AAA Foundation for Traffic Safety's American Driving Survey, U.S. drivers spend.
on average, 51 minutes behind the wheel each day. A researcher believes this is an overstatement.
To investigate, a random sample of 75 drivers were selected. The study revealed that the mean
time behind the wheel for the sample of 75 drivers was 46.4 minutes with a standard deviation of
18.8 minutes. Is there convincing evidence that the mean time behind the wheel for all U.S. drivers
is less than 51 minutes? Use a = 0.01.
Answers
Answer:
The pvalue of the test is 0.017 > 0.01, which means that there is not convincing evidence that the mean time behind the whell for all U.S drivers is less than 51 minutes.
Step-by-step explanation:
U.S. drivers spend on average, 51 minutes behind the wheel each day.
This means that at the null hypothesis we test that:
[tex]H_{0}: \mu = 51[/tex]
Is there convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes?
This means that the alternate hypothesis is:
[tex]H_{a}: \mu < 51[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
51 is tested at the null hypothesis:
This means that [tex]\mu = 51[/tex]
The study revealed that the mean time behind the wheel for the sample of 75 drivers was 46.4 minutes with a standard deviation of 18.8 minutes.
This means that [tex]n = 75, X = 46.4, \sigma = 18.8[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{46.4 - 51}{\frac{18.8}{\sqrt{75}}}[/tex]
[tex]z = -2.12[/tex]
Pvalue of the test:
The pvalue of the test is the probability of finding a sample mean less than 46.4, which is the pvalue of z when X = 46.4.
Looking at the z-table, z = -2.12 has a pvalue of 0.017.
Decision:
The pvalue of the test is 0.017 > 0.01, which means that there is not convincing evidence that the mean time behind the whell for all U.S drivers is less than 51 minutes.
No, there isn't convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes.
Given the following data:
Mean = 51.Number of drivers = 75 drivers.Sample mean (mean time) = 46.4 minutes.Standard deviation = 18.8 minutes.What is a null hypothesis?A null hypothesis ([tex]H_0[/tex]) can be defined the opposite of an alternate hypothesis ([tex]H_a[/tex]) and it asserts that two (2) possibilities are the same.
For the null hypothesis, we would test that:
[tex]H_o : \mu =51[/tex]
For the alternate hypothesis, we would test that:
[tex]H_a : \mu < 51[/tex]
The test statistics would be calculated with this formula:
[tex]Z=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }[/tex]
Where:
x is the sample mean.u is the mean.[tex]\delta[/tex] is the standard deviation.n is the number of drivers.Substituting the given parameters into the formula, we have;
[tex]Z=\frac{46.4\;-\;51}{\frac{18.8}{\sqrt{75} } }\\\\Z=\frac{-4.6}{\frac{18.8}{8.6603} }\\\\Z=\frac{-4.6}{2.1708 }[/tex]
Z = -2.12.
What is a p-value?In Statistics, a p-value also known as the probability value is the probability which occurs when the null hypothesis ([tex]H_0[/tex]) is true of obtaining a sample mean that is at least as unlikely as what is observed by a researcher or scientist.
From the z-table, a z-score of -2.12 corresponds to or has a p-value of 0.017. Therefore, the p-value for this test is 0.017 > 0.01.
In conclusion, there isn't convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes.
Read more on null hypothesis here: https://brainly.com/question/14913351
In a 30°-60°-90° triangle, the side opposite of the 60° angle is 5V3. What is the length of
the hypotenuse? Just write the number.
Answers
Answer:
10
Step-by-step explanation:
Can't do that. I have to write some sort of explanation or the mods have a fit.
Side opposite = 5 √3
Sin(60) = √3 /2
Hypotenuse = x
Sin(60) = √3/2 = 5√3 / x
√3/2 = 5√3 / x Multiply both sides by x
x √3/2 = 5√3 Divide both sides by √3
x/2 = 5
x = 10
The hypotenuse is 10 units long.
The red figure is congruent to the blue figure. Which choice describes a sequence of transformations in which the blue figure is the image of the red figure? (In other words, try and map the red figure on the blue figure).
1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.
2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.
3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.
4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.
Answers
Answer:
2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.Step-by-step explanation:
Easy way to take one of the vertices and apply the transformations1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.
False2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.
True(-3, 3) → (3, 3) → (3 - 10, 3 - 9) = (-7, -6)3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.
False4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.
FalseA study was done to investigate the relationship between a between eating sugary snacks and a test that measures a
student's memory and attention. The correlating linear model is shown below, where x represents the number of sugar
snacks a student ate, and y represents the student's test score.
Interpret the rate of change (slope).
y = -5x
Answers
Answer:
Each additional sugary snack eaten is associated with a loss of five points on the test.
Step-by-step explanation:
A toothpaste advertises that 30% of stains are removed after 1 week. As Alexa is brushing her teeth, she thinks "after 2 weeks, 60% of stains will be gone, and 90% after three weeks".
Using this reasoning, what percent of stains will be gone after four weeks? Does this result make sense? Why or why not?
Answers
Answer:
120%. doesn't make sense because there's nothing above 100%
Exercise 12.1.1: Coin flips and events. About A coin is flipped four times. For each of the events described below, express the event as a set in roster notation. Each outcome is written as a string of length 4 from {H, T}, such as HHTH. Assuming the coin is a fair coin, give the probability of each event. (a) The first and last flips come up heads. (b) There are at least two consecutive flips that come up heads. (c) The first flip comes up tails and there are at least two consecutive flips that come up heads.
Answers
Answer:
a [tex]Pr = 0.25[/tex]
b [tex]Pr = 0.50[/tex]
c [tex]Pr = 0.1875[/tex]
Step-by-step explanation:
Given
[tex]n = 4[/tex] --- number of times
[tex]r = 2[/tex] --- faces of a coin
First, is to determine the sample size.
This is calculated as:
[tex]Size =r^n[/tex]
[tex]Size =2^4[/tex]
[tex]Size =16[/tex]
Solving (a): First and last slip is head
This event is represented as:
[tex]E=\{HHHH, HHTH, HTHH, HTTH\}[/tex]
The probability is calculated as:
[tex]Pr = \frac{n(E)}{Size}[/tex]
[tex]Pr = \frac{4}{16}[/tex]
[tex]Pr = 0.25[/tex]
b) At least 2 consecutive flips that is heads.
This event is represented as:
[tex]E=\{HHHH,HHHT,HHTH,HHTT,THHH,THHT,HTHH,TTHH\}[/tex]
The probability is calculated as:
[tex]Pr = \frac{n(E)}{Size}[/tex]
[tex]Pr = \frac{8}{16}[/tex]
[tex]Pr = 0.50[/tex]
c) First is tail and at least 2 consecutive flips is head.
This event is represented as:
[tex]E=\{THHH,THHT,TTHH\}[/tex]
The probability is calculated as:
[tex]Pr = \frac{n(E)}{Size}[/tex]
[tex]Pr = \frac{3}{16}[/tex]
[tex]Pr = 0.1875[/tex]
A sewing machine sews at a constant rate of 1,500 stitches per minute. If the equation, y = 1,500x represents the relationship between the number of minutes, x, and the total number of stitches, y, what is the independent and dependent variable? (EE.C.9b)
Answers
Answer:
Step-by-step explanation:
x is the independent variable. y is the dependent variable.
Dependent variables take their values based on values of independent variables. In the considered case, we have:
Independent variable is x = number of minutesDependent variable is y = total number of stitchesWhat are independent and dependent variables?Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.
If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable.
The variables who take their values based on some other variables' values are called dependent variables.
For the considered case, the two variables in consideration are:
x = number of minutesy = the total number of stitchesTime doesn't depend on number of stitches. Its thus, measuring an independent quantity.
The total number of stitches depends on how much time it passed since sewing. So the quantity 'y' depends on the value of 'x'
Thus, variable 'y' is dependent variable.
Therefore, in the considered case, we have:
Independent variable is x = number of minutesDependent variable is y = total number of stitchesLearn more about dependent and independent quantities here:
https://brainly.com/question/19622665
What is the perimeter of the shaded part of this??
Answers
Answer:
18.9cm ( I rounded of and used Π as 3.14)
Step-by-step explanation:
P=distance all round
=1\2ΠD +Πd
see you have to calculate the upper length of the circle , since its half u multiply by a half. And since its not fully shaded the two semi circles are now included as the lower part of the whole shape. so you add them too. (I hope I'm making sense)