Answer:
a) The 90% confidence interval on the proportion of such graduates planning to continue their education is (0.2097, 0.2737).
b) The 95% confidence interval on the proportion of such graduates planning to continue their education is (0.2036, 0.2798).
c) Due to higher value of z, a 95% confidence interval, as in part b, is wider than a 90% confidence interval, found in part a, and is the difference between these two intervals.
d) Yes, because 0.25 is inside both intervals.
Step-by-step explanation:
Question a:
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].
117 of 484 new engineering graduates were planning to continue studying for an advanced degree.
This means that [tex]n = 484, \pi = \frac{117}{484} = 0.2417[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2417 - 1.645\sqrt{\frac{0.2417*0.7583}{484}} = 0.2097[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2417 + 1.645\sqrt{\frac{0.2417*0.7583}{484}} = 0.2737[/tex]
The 90% confidence interval on the proportion of such graduates planning to continue their education is (0.2097, 0.2737).
Question b:
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}} = 0.2417 - 1.96\sqrt{\frac{0.2417*0.7583}{484}} = 0.2036[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2417 + 1.96\sqrt{\frac{0.2417*0.7583}{484}} = 0.2798[/tex]
The 95% confidence interval on the proportion of such graduates planning to continue their education is (0.2036, 0.2798).
(C) Compare your answers to parts (a) and (b) and explain why they are the same or different.
The margin of error of a confidence interval of proportions is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
This means that, due to higher value of z, a 95% confidence interval, as in part b, is wider than a 90% confidence interval, found in part a, and is the difference between these two intervals.
(D) Could you use either of these confidence intervals to determine whether the proportion is actually 0.25? Explain your answer. Hint: Use the normal approximation to the binomial.
Yes, because 0.25 is inside both intervals.
A parallelogram has a height of 3.5 feet and a base measurement of 12 feet. What is the area of a triangle that has the same height and base measurement?
42 ft2
28 ft?
O2112
15.5 ft2
Answer:
42 ft 2 is the closest answer I got
A rectangular poster has an area of 26 square feet. It is 4 1/3 feet wide at it's base. What is the height of the poster?
Answer:
6 square feet
Step-by-step explanation:
Area = L * w
26 = L * 4 1/3
26 = L * 13/3
L = 26 divided by 13/3
L = 26 * 3/13 = 6
answer = 6
I am so confused right now. will give brainlest to anyone how can solve this chicken scratch lol
1. Write an equation representing this hanger
2. find the value (or "weight) of one circle (w).
3. Explain how you found the value of one circle (w)
I really have no idea what any of this is
Answer:
1. 25÷4w
2. w=6.25
3.I divided 25 by 4 to find w
Step-by-step explanation:
which of the following is not a function? ANSWER FAST PLEASE!!!
Answer:
D. cannot be an f(x)=y function.
Step-by-step explanation:
An f(x) = y function has to have a specific property - there can be only one value for the same x - and the value has to be the same every time.
D. gives us all xs equal to 9, but with different ys - hence it cannot be an f(x) = y function (it could be an f(y) = x function though, but I assume that's not "allowed" under the problem statement).
B has two equal xs, but both times y=0, so it doesn't make it an invalid function.
Of the listed values, which are equal to the sine of B
B
? Select all that apply
Answer:
Step-by-step explanation:
please help!!! and show work!!
Answer:
x = 17
Step-by-step explanation:
area = L x W
45 = (x-2)(x-14)
45 = x² - 14x - 2x + 28
simplify:
x² -16x - 17 = 0
(x + 1)(x -17 ) = 0
x = -1 not applicable
x = 17
Proof:
(17-2)(17-14) = 45
15 x 3 = 45
45 = 45
Helppppppppppppppppp
I need help! Please show all the steps and work! :)
Original: $30 new: $110
Answer:
It increases by 267 decrease.
Answer:
267%
Step-by-step explanation:
110 / 30 - 1
3.6666667 - 1
2.6666667 or 2.67
2.67 x 100
267%
You start at (2, -1). You move right 3 units and up 4 units.
Where do you end?
Answer:
(5,3)
Step-by-step explanation:
Answer:
(5, 3)
Step-by-step explanation:
(x, y)----> (x + 3, y + 4)
(2, -1)----> (2 + 3, -1 + 4)
(5, 3)
Derek and his friend share two small pizzas Derek ate 7/6 of the pizzas which mixed number shows how much pizza Derek ate
Please need help thank you
Pamela has a rectangular rug with an area of 90 square feet. The rug is 9 feet longer
than it is wide. Find the width of the rug.
w = 15 feet
w = 6 feet
w = 10 feet
w = 9 feet
HELP PLEASEEE
Answer:
its 10
Step-by-step explanation:
area of rectangle =length×width.
so,
90=9×b
90/9=b
b=10.
helppppppppppppppppppppppppppppp
"Debby" is a photographer. She sells small prints for$50 and large prints for $75. How many large prints did she sell?
she didn't sold any large print that is the price on how she sells the prints
during a particular period a university's information technology office received 20 service orders for problems with printers, of which 8 were laser printers and the rest are inkjet printers a sample of 5 of these service orders is to be selected for inclusion in a customer satisfaction survey what is the probability that 3 were laser printers
Answer:
0.2384 = 23.84% probability that 3 were laser printers.
Step-by-step explanation:
The printers will be chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
20 orders means that [tex]N = 8[/tex]
8 were laser printers, which means that [tex]k = 8[/tex]
Sample of 5 means that [tex]n = 5[/tex]
What is the probability that 3 were laser printers?
This is P(X = 3).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,20,5,8) = \frac{C_{8,3}*C_{12,2}}{C_{20,5}} = 0.2384[/tex]
0.2384 = 23.84% probability that 3 were laser printers.
here's my face I just dyed my hair-
Answer:
that looks nice
Step-by-step explanation:
the hair looks cool
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:
4+5/2
9/2= 4.5
Step-by-step explanation:
Answer:
$4.00
Step-by-step explanation:
the median is the middle term in a sequence
since there are an even number of terms and not an obvious median, we take the two middle terms, add them together, and divide by two
So, 5+3= 8
8÷2= 4
hope this helps chu
The graphs below have the same shape. What is the equation of the red
graph?
Answer:
G(x)=(1-x)⁴
Step-by-step explanation:
Help! I'll give brainliest to first correct answer.
1 to A
2 to C
3 to B
4 to D
and that's all
Raelyn spent $6.00 on butterfly stickers for her bathroom wall. Each sticker cost 1/10 of a dollar. how many stickers did Raeyln but?From the same store,Beth biught 1/4 the number of butterfly stickers Raeyln bought.How many butterfly stickers did Beth buy?
Answer:
Raeyln bought 60 stickers, Beth bought 15 stickers
Step-by-step explanation:
simple math l.mao
The diameter of a circle is 3 meters. What is the circumference?
Answer:
C≈9.42m
Using any of this formulas
C=2πr
C=2πrd=2r
Solution:
C=πd=π·3≈9.42478m
Which
Charles factors the expression 9 x + gx using a factor of 5 x. He writes the factored expression as 3 «(4x+1).
best describes the accuracy of Charles's solution?
His solution is accurate,
His solution is inaccurate. The factor does not divide evenly into both terms.
O His solution is inaccurate. The factoring of g xy using the given GCF is incorrect.
His solution is inaccurate. The factoring of 3 using the given GCF is incorrect.
Step-by-step explanation:
Charles factors the expression Four-thirds x y + one-third x using a factor of One-third x. He writes the factored expression as One-third x (4 y + 1). Which best describes the accuracy of Charles’s solution?
His solution is accurate.
His solution is inaccurate. The factor does not divide evenly into both terms.
His solution is inaccurate. The factoring of Four-thirds x y using the given GCF is incorrect.
His solution is inaccurate. The factoring of One-third x using the given GCF is incorrect.
i hope you understand
If , then what is –K
Asap!!!
Answer:
I think C
I see a pattern
Do the opposite of their signs in the same number pattern just do their opposite sign.
-3, -8, -13, ..., -3+ (-5)(n-1), ...
What is the 23rd term of the arithmetic sequence shown above?
A: -118
B: -113
C: 112
D: 107
is the number below a perfect square how do you know 2 x 2 x 3 x 5 x 5
Answer:
nope
nope
nopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenope
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{ASSUMING:}\\\\\mathsf{2\times2\times3\times5\times5}\\\mathsf{= 4\times3\times5\times5}\\\mathsf{= 12\times5\times5}\\\mathsf{= 60\times5}\\\mathsf{= 300}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{300}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]7(5+2c)+3c I need help
Answer:
35 + 17c I hope this helps!! Plz give brainliest!!!
Step-by-step explanation:
7(5+2c)+3c
35+14c+3c
35+17c
Hey guys I need some help, Ty :)
Step-by-step explanation:
Download math may that help
A rectangular sheet of metal measures 8 inches by 10 inches. The metal is worth $3.00 per
square inch. How much is the sheet of metal worth?
Answer:
240$$
Step-by-step explanation:
find the area
A=LW
A=8x10
A=80
80x3=240
Select the correct product.
(x2 + 4x + 8)(2x - 1)
x2 + 8 x - 8
x2 + 6 x + 7
2 x3 - 7 x2 - 12 x - 8
2 x3 + 7 x2 + 12 x - 8
Answer:
2 x^3 + 7 x^2 + 12 x - 8
Step-by-step explanation:
To find the product you just had to simplify the expression.
Answer:Answer:
2 x^3 + 7 x^2 + 12 x - 8
Step-by-step explanation:
To find the product you just had to simplify the expression.