Using the z-distribution, we have that:
a) The parameter of interest is the proportion of kids who want to be a doctor.b) Since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.c) The critical value is [tex]z = 2.327[/tex]. The interval is (0.0339, 0.066).d) We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.Confidence interval of a proportionIn 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 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].Item a:
We are interested in the confidence interval for the true proportion of kids who want to be a doctor, hence the parameter of interest is the proportion of kids who want to be a doctor.
Item b:
Fifty-five of the 1000 kids want to be a doctor, hence, since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.
Item c:
Fifty-five of the 1000 kids want to be a doctor, hence [tex]n = 1000, \pi = \frac{55}{1000} = 0.055[/tex].98% confidence level, hence[tex]\alpha = 0.98[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.98}{2} = 0.99[/tex], so the critical value is [tex]z = 2.327[/tex].The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 - 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.0339[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 + 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.066[/tex]
The interval is (0.0339, 0.066).
Item d:
We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.
You can learn more about the use of the z-distribution to build a confidence interval at https://brainly.com/question/25649070
A rectangular parking lot measures 40 m x 30 m.
How much distance can you save by cutting
across the parking lot instead of walking all the
way around it from A to C?
This is Grade 8 Math Pythagorean theorem
solve for x in the triangle. round your answer to the nearest tenth
Answer:
x = 6.4
Step-by-step explanation:
Since you are given adjacent and hypotenuse use sin 53 = add/hyp
So .79863551 = x/8 so x = 6.3891
Sonia Oopsmeyer, who is proud of how fast she can punch numbers into her calculator, divided a number by 40 instead of multiplying it by 40. Her answer, which was wrong, was 20. What is the correcr answer? Describe the steps you took to find the correct answer.
Answer:
320
Step-by-step explanation:
x is the mystery number
x÷40=20
20x40=80
80=x
80x40=320
hope this helps
Solve for x: 5x = 2/7
I need help with this question
Solve for the value of P: 2/3 P = 4
Answer:
thisis answer okkkkkkk
the price of one gallon of gas was $2.59 in 2007. the average price of one gallon of gas this month is $3.69. what is the percent of change?
Answer:
42.471% increase
Step-by-step explanation:
Are the two flags similar? If so, which triangle similarity theorem did you use to make your conclusion?
Answer:
NOStep-by-step explanation:
I THINK THE RIGHT ANSWER IS RHS THEOREM.HELPPPP PLSSSSS!!! ILL GIVE BRAINLIEST IF ITS RIGHT
Answer:
752÷2= 376
52÷2÷ 26
376- 26= 350 adult tickets
376+26= 402 student tickets
f (x) =x2 + 10x + 24.
Answer:
(-5,-1)
explanation
Find the discriminant. (Must Show Work)
-9m^2+m-7=0
Answer:
-251
Step-by-step explanation:
the discriminant .b^2-4ac
=1-4×(-9)×(-7)
=1-252=-251
Which of these is a Pythagorean Triple?
1,1 square root of 2.
1, square root of 3, 2
11, 50, 51
20, 21, 29
Answer:
1, 1, sqrt of 2
I need this done today whoever gets this correct gets brainliest!!! PLZZ HELPP MEE!!!
hurryy!!
Explanation is in the file
tinyurl.com/wpazsebu
10 points
8. Sally works at a furniture store. She earns $420 a week plus 5.25%
commission on her sales. One week her sales are $2200. What is her total
income for the week? *
$535.50
$536.50
$555.00
Answer:
Answer: $535.50
Step-by-step explanation:
All you had to so was multiply $2200 by 5.25%. Which would then give you 115.5$ and then you add $420, which would give you the final answer of $535.50
i need the answers quick
Answer:
1: 4
2:6
3: 13
4: 36
5: 21
6: 15
7: 21
8: 2
9: 6
10: 45
Step-by-step explanation:
add, subtract, multiply, or divide both sides depending on what problem it is.
6
7
8
9
10
What is the simplified form of the following expression?
7(V2x) - 3(V16x)-3(Vox
0 -5(2x)
o 2x-6(K)
0 -(/2X) - 6(V)
Answer:
is there a pic u could show?
Step-by-step explanation:
Based on the article, which of the following is MOST important to all economic systems?
A. Economic freedom
B. Factors of production
C. Equal distribution of wealth
D. Government-owned services
In ΔGHI, the measure of ∠I=90°, the measure of ∠G=76°, and IG = 6.2 feet. Find the length of HI to the nearest tenth of a foot.
Answer: 24.9
Step-by-step explanation:
6.2 tan(76) = 24.86
Answer:
the answer is 24.9
Step-by-step explanation:
Add. (6x2 – 2x) + (5x – 7)
Answer:
Thats going to be 12x
Step-by-step explanation:
DUE ASAP PLS
HELP
5. Find BC.
5. In Triangle ABC, angle A is a right angle and angle B= 60. If AB= 20 ft, find BC. If necessary, round your answer to the
nearest tenth.
A) 10ft
B) 40ft
C) 20 √ 3 ft
D) 40 √ 3/3 ft
A bouncy ball is dropped such that the height of its first bounce is 7 feet and each successive bounce is 67% of the previous bounce's height. What would be the height of the 8th bounce of the ball? Round to the nearest tenth (if necessary).
Answer:
4.79
Hope this helps! :D
Answer: 0.2
Step-by-step explanation:
What is the domain of y = log5^x
all real numbers less than 0
all real numbers greater than 0
all real numbers not equal to 0
all real numbers
Answer:
The answer is all real numbers
Answer:b
Step-by-step explanation:
please help! will give the crown to whoever helps
PLEASE HELP ASAP PLEASE
Answer:
288 cm^3
Step-by-step explanation:
I’m giving 30 points please help
Answer:
Triangle A
Step-by-step explanation:
Because in the picture it shows the grid and if you look closely you can see the points on the x and y axis, (3,2) (4,7) and (5,6) are the three points formed to make triangle A.
Enter the value for that makes the given equation true.
20−5(6+4)=4−6
Answer:
hi, there is no variable
Combine like terms.
7x + 2y - 3x + 4y
The answer is 4x + 6y.
Answer:
4x + 6y
Step-by-step explanation:
7x - 3x = 4x
2y + 4y = 6y
4x + 6y
18 entre 12 (división) Porfa respondan, mi ama me pega con la chancla si no lo hago,, es lo único que me faltam
Answer:
Step-by-step explanation:
18 dividido por 12 es 1.5 , esto se puede probar haciendo division larga o multiplicando 1.5 por 12
1.5 * 12 = 18
Espero que te haya ayudado la respuesta y que ahores el chancletazo.
Help me with this!!!!!
Answer: GH=16
Step-by-step explanation:
Equal triangles have equal sides
0/1 For positive integer n, n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?. What is the value of 4# · 3# · 2# · 1#?
Answer:
331776
Step-by-step explanation:
Since n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?
Then 4# = 4? · (4 − 1)? · (4 − 2)?· 1?
= 4? · 3? · 2?· 1?
Now, n? = n! · (n − 1)! · … · 1!
So, 4? = 4! · (4 − 1)! · (4 − 2)! · 1! = 4! · 3! · 2! · 1! = 288
Thus, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12
Also, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2
and 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1
So, 4# = 4? · 3? · 2?· 1? = 288 × 12 × 2 × 1 = 6912
We now find 3#
3# = 3? · (3 − 1)? · 1? = 3? · 2?· 1?
Now, n? = n! · (n − 1)! · … · 1!
So, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12
Thus, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2
and, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1
So, 3# = 3? · 2?· 1? = 12 × 2 × 1 = 24
We now find 2#
2# = 2? · (2 − 1)? · 1? = 2? · 1?· 1?
Now, n? = n! · (n − 1)! · … · 1!
So, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2
1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1
So, 2# = 2?· 1? = 2 × 1 = 2
We now find 1#
1# = 1? · 1? = 1? · 1?
Now, n? = n! · (n − 1)! · … · 1!
So, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1
And, 1# = 1? · 1? = 1 × 1 = 1
So, 4# · 3# · 2# · 1#? = 6912 · 24 · 2 · 1? = 331776
GIVING BRAINIEST IF CORRECT!!
Amanda slept for 1/3 of the day. She played with her friends for 1/5 of the day. She spent the rest of the day working on a school project. What fraction of the day did she spend working on her project?
Answer:
She spent 7/15 of the day working on her project.
Step-by-step explanation:
Well we cant get a clear answer with the fractions 1/3 and 1/5, so we are going to have to turn them into equivalent fractions.
3 and 5 both have 15 LCD so:
1/3 x 5/5 = 5/15
1/5 x 3/3 = 3/15
5/15 + 3/15 = 8/15
15/15 - 8/15 = 7/15
She spent 7/15 of the day working on her project.
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~