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Related Questions
A report on consumer financial literacy summarized data from a representative sample of 1,664 adult Americans. Based on data from this sample, it was reported that over half of U.S. adults would give themselves a grade of A or B on their knowledge of personal finance. This statement was based on observing that 939 people in the sample would have given themselves a grade of A or B.
(a) Construct and interpret a 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance. (Round your answers to three decimal places.)
(,)
(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B? Explain why or why not.
Because this confidence interval _____ is entirely below 0.5contains 0.5is entirely above 0.5 , the interval ______ is not consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.
Answers
Answer:
a. The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.
b. Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.
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].
Sample of 1,664 adult Americans, 939 people in the sample would have given themselves a grade of A or B in personal finance.
This means that [tex]n = 1664, \pi = \frac{939}{1664} = 0.5643[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 - 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.54[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 + 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.588[/tex]
The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.
(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B?
Yes, because the confidence interval is entirely above 0.5.
Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.
2 of 8
An object has a mass of 540 kg and a volume of 6 m3.
Find the density of the object in m3.
kg/m3
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answer is 90Kg/m3
use this formula : Density = mass / volume
Find the value of x.
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The answer would be x=18. First you set it up by setting up an equation;
166=7x+40. Then you subtract 40 from each side. Last, you divide both sides by 7 and you should get x=166 or 166=x.
PLEASE HELP!
Please help me I don’t understand how to do this and it has to be done by tonight!!!
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Answer:
these are notes i wrote in geometry I'm not sure if this will help. it's been a few months since i did this
4. There are 4 white socks, 6
black socks, 3 blue socks, and
2 red socks. What is the ratio
of blue socks to all socks in
simplest form?
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The value in dollars, v(x), of a certain car after x years is represented by the equation vx=25,0000.86x. To the nearest dollar, how much more is the car worth after 2 years than after 3 years?
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Explanation is in the file
tinyurl.com/wpazsebu
Answer: The car is worth $ 2,588.6 after two years than after 3 years.
Step-by-step explanation:
x=2
v(x)=25,000(0.86)^2
v(x)=18,490
x=3
v(x)=25,000(0.86)^3
v(x)=15,901.4
18,490 - 15,901.4= 2588.6
What is the mean of the data set?
Enter your answer as a decimal in the box. Round to the nearest tenth.
mean =
Answers
Answer:
2.4
Step-by-step explanation:
1.5+1.5+2+2+2+2.5+3+3.5+4=22
22/9=2.4
Answer:
2.4 I think and hello have a great day
Upon studying low bids for shipping contracts, a microcomputer manufacturing company finds that intrastate contracts have low bids that are uniformly distributed between 23 and 29, in units of thousands of dollars. (a) Find the probability that the low bid on the next intrastate shipping contract is below $25,000. (Round your answer to four decimal places.) (b) Find the probability that the low bid on the next intrastate shipping contract is in excess of $28,000. (Round your answer to four decimal places.)
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Answer:
a) 0.3333 = 33.33% probability that the low bid on the next intrastate shipping contract is below $25,000.
b) 0.1667 = 16.67% probability that the low bid on the next intrastate shipping contract is in excess of $28,000.
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b.
The probability of finding a value lower than x is given by:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability of finding a value higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Uniformly distributed between 23 and 29
This means that [tex]a = 23, b = 29[/tex]
(a) Find the probability that the low bid on the next intrastate shipping contract is below $25,000.
[tex]P(X < 25) = \frac{25 - 23}{29 - 23} = 0.3333[/tex]
0.3333 = 33.33% probability that the low bid on the next intrastate shipping contract is below $25,000.
(b) Find the probability that the low bid on the next intrastate shipping contract is in excess of $28,000.
[tex]P(X > 28) = \frac{29 - 28}{29 - 23} = 0.1667[/tex]
0.1667 = 16.67% probability that the low bid on the next intrastate shipping contract is in excess of $28,000.
In the graph above, what's the distance between (-1,-4) and (-1,5)?
A) 1 unit
B) 9 units
C) -9 units
D) 7 units
1:44 AM
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The graph of y=f(x) is a transformation of the graph y=h(x) write a formula for the function f in terms of function h
Answers
Answer:
y=h(x)-8
Step-by-step explanation:
it shifted down 8 units
Answer:
f(x)= h(x)+8
Step-by-step explanation:
Early diagnosis and treatment of malaria are necessary components in the control of malaria. The gold-standard light microscopy test has high sensitivity but is a relatively time-consuming procedure especially during epidemics and in areas of high concentration. A new Cyscope fluorescence microscopy test has been developed and gives results in less than 10 minutes. The test has a specificity of 98.92% and a sensitivity of 95.48%.
Required:
a. What proportion of the people who test positive for Malaria would we expect to actually have the disease?
b. What proportion of people who test positive for Malaria will not have the disease?
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Answer:
a) 0.9548
b) 0.0452
Step-by-step explanation:
Specificity of test:
The specificity of a test is the true negative rate, that is, the proportion of people without the disease that test negative.
Sensitivity of test:
The sensitivity of a test is the true positive rate, which is the proportion of people with the disease that test positive.
a. What proportion of the people who test positive for Malaria would we expect to actually have the disease?
This is the sensitivity of the test, which is of 95.48%, so the proportion if 0.9548.
b. What proportion of people who test positive for Malaria will not have the disease?
True positive rate is of 95.48%.
1 - 0.9548 = 0.0452
So the proportion of people who test positive for Malaria will not have the disease is 0.0452.
The television show 50 Minutes has been successful for many years. That show recently had a share of 15, which means, that among the TV sets in use, 15% were tuned to 50 Minutes. An advertiser wants to verify that 15% share value by conducting its own survey, and a pilot survey begins with 15 households have TV sets in use at the time of a 50 Minutes broadcast.
Required:
a. Find the probability that none of the households are tuned to Lindsay and Tobias. (Round to three decimal places as needed)
b. Find the probability that at least one household is tuned to Lindsay and Tobias.
c. Find the probability that at most one household is tuned to Lindsay and Tobias.
d. If a most one household is tuned to Linday and Tobias, does it appear that the 15% share value is wrong? Why or wh not?
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Answer- b
Step-by-step explanation:
its b
Mrs Sogiba is catering for her son's birthday party. She has invited some of
her son's friends to theparty. The number of friends is a compositemultiple of her
son's age on his birthday. She has baked 48 cup cakes and each childwill receive
exactly the same number of cupcakes. Use your knowledge of factors and multiples
to find out how old her son will be on this birthday.
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Answer:
48 cupcakes divided by the boys age equals amout of cupcakes per person.
Step-by-step explanation:
Austin buys $10 worth of food for his dog each week. There are 52 weeks in a year.
How much is Austin paying for food for his dog in a year?
Which proportion could be used to solve this problem?
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Answer:
b i think
Step-by-step explanation:
Convert 48 ounces to pounds.
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Answer:
Step-by-step explanation:
3 lbs
Answer:
3 pounds 16oz equals 1 pound
and 48 divided by 16 is 3
give brainliest plz ༼ つ ◕_◕ ༽つ
Step-by-step explanation:
How do I do this please help
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b is y intercept
and use equation y=mx+b
branliest please
Answer:
1. y= 1/3x+2
2.y=-3/4x-5
Step-by-step explanation:
Need help on this please
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Answer:
64 pi
Step-by-step explanation:
Area of a circle is pi(r) ^ 2
The radius is half the diameter, so it would be 8 mi.
Pi ( 8 ) ^ 2
Pi ( 64 )
It would be 64 pi
Given : ABCD is a rectangle
m∠B1DB = 60°, m∠ADB = 45°
DB1=37
Find: Volume
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Answer:
Step-by-step explanation:
∠B₁DB = 60°
△B₁BD is a 30°-60°-90° triangle. The sides are in the ratio 1:√3:2
B₁D = 37 ⇒ BD = 37/2 = 18.5
BB₁ = 18.5√3
△ABD is isosceles
AB = AD = BD/√2 = 18.5/√2
volume = AB × AD × BB₁
= (18.5/√2) × (18.5/√2) × 18.5√3
= 18.5³√3/2
≅ 5483 cubic units
PLEASE HELP!
Find the area of each figure.
18 square units
9 square units
12 square units
24 square units
MATCH THE NUMBERS TO THE GRAPHS!!!!!
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I do know the first figure is 24 square feet.
To get your answer,
Count the amount of the blocks stacked on top each other to make the length, in this case the first photo would be 3, and the width of the block, which is 8. To get the area, you would multiply the length and width together.
Image Form:
l x w = a
(length x width = area)
I hope this is a clear explanation!
Answer:
first one is 24
second one is 12
third one is 9
fourth one is 18
Step-by-step explanation:
A particular fruit's weights are normally distributed, with a mean of 372 grams and a standard deviation of 26 grams. If you pick 36 fruit at random, what is the probability that their mean weight will be between 365 grams and 380 grams
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Answer: 90.93%
Step-by-step explanation:
M= 372
s= 26
n=36
P(365<x<380)
1. Find Z ----> 365-372 [tex]\sqrt{36}[/tex] = -1.6 Next Z----> 380 - 372 [tex]\sqrt{36}[/tex]= 1.8
26 26
2. plug into calculator to find probablity: normalcdf(-1.6 , 1.8 ) = .90927 or 90.93% that the prob is between 365 and 380
Suppose you are taking the bus home, and can take either Route 51 or Route 82. You know that the Route 82 will arrive at the bus stop in exactly 5 minutes, but because Route 51 is unreliable, you believe that the amount of time until it arrives is uniformly distributed between 0 and 20 minutes. You take the first bus that arrives. Let T be the number of minutes you wait until you board a bus. Find E[T].
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Answer:
E[T] = 10
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the expected value of the uniform distribution is given by:
[tex]E = \frac{a+b}{2}[/tex]
Uniformly distributed between 0 and 20 minutes.
This means that [tex]a = 0, b = 20[/tex]
Let T be the number of minutes you wait until you board a bus. Find E[T].
This is
[tex]E[T] = \frac{a + b}{2} = \frac{0 + 20}{2} = 10[/tex]
E[T] = 10
Georgia brought a snow cone shaped like the cone below what is the height of the snow cone
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Answer:
Step-by-step explanation:
Use the Pythagorean Theorem.
h² = 5² - 3² = 4²
h = 4 in
This problem uses the statistical postulate to address diffusion. Consider eight particles, 4 black and 4 white. The particles are in a liquid with two halves separated by a permeable membrane, so each particle can be either on the left or the right of the membrane. According to the statistical postulate, every arrangement of the 8 particles is equally likely. Arrangements can be summarized according to which particles are on the left and which on the right, with the membrane represented by a vertical line |. Some possible arrangements are: BBBBWWWW, BWBW|BWBW, and WWW|BBW. How many different arrangements are there?
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Answer:
There are 362,880 different arrangements.
Step-by-step explanation:
Arrangements of n elements:
The number of possible arrangements of n elements is given by:
[tex]A_{n} = n![/tex]
In this question:
Arrangements of 8 particles, plus the membrane, for which there are 9 possible positivos.
How many different arrangements are there?
[tex]T = 9A_{8} = 9*8! = 362880[/tex]
There are 362,880 different arrangements.
What are the values of the function y= 3x - 4 for x = 0,1,2, and 3?
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A. -4, -1, 2, and 5
Write an expression to represent: Four less than the quotient of a number x and 5.
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The quotient of a number x and 5 is x/5.
Four less means you will subtract 4 from it.
First one to answer gets BRAINLIEST no cap look at the picture.
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Answer:460
Step-by-step explanation:
Zynga and Walmart which balance sheet items does the two have in common
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Write the equation: a number increased by 4 is 10
Just checking my work I think it’s 4+x=10
I’m not sure lol
Right answer gets brainiest!
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Answer:
x + 4 = 10
Step-by-step explanation:
a number: x
a number increased by 4: x + 4
a number increased by 4 is 10: x + 4 = 10
Since 4 + x and x + 4 are the same, you are correct.
Answer: I'm pretty sure your correct
Step-by-step explanation:
Choose the statement that is always true.
A. Two rectangles are similar.
B. Two similar polygons are congruent.
C. Two congruent triangles are similar.
D. Two acute triangles are similar.
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Answer:
C.
Step-by-step explanation:
This would be the most likely the answer because it is true compare to the other choses.
ps- I am sorry if this wasn't much help.
I need help finding the area and perimeter to this question. Pls help!! Thank you!
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Answer:
Perimeter: 50.27
Area: 201.06
Step-by-step explanation:
The perimeter (circumference) is radius times pi times 2
This would be 8 times pi tomes 2 and when you do that you get 50.27
For the area you would do radius squared times pi
This would be 8 squared times pi which is 201.06
Hope this is helpful
- Please mark brainliest :)