A state's Department of Education reports that 12% of the high school students in that state attend private high schools. The State University wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 applications on file to estimate the percentage of students applying for admission who attend private schools.
a) They select a random sample of 500 applications, and find that 46 of those students attend private schools. Check the conditions required for inference. (3 marks)
b) Create the 90% confidence interval. (6 marks)
c) Interpret the confidence interval in the context of the problem. (3 marks)
d) Should the admissions officers conclude that the percentage of private school students in their applicant pool is lower than the statewide enrollment rate of 12%? Explain. (2 marks)
Answer:
a) p*n = 46 and q*n = 454 data is enough for inference
b) CI = ( 0,099 ; 0,141)
c) CI we will find with 90% of confidence the value of p in that interval
d) No, we accept H₀ we don´t have evidence to claim that the percentage in the State University is smaller than that of the Department of Education
Step-by-step explanation:
Information from A state´s Department of Education is:
p₀ = 12 % p₀ = 0,12
The State University sample:
Sample size n = 500
Sample proportion 46 out of 500
p = 46/500 p = 0,092 then q = 1- p q = 1 - 0,092 q = 0,908
Both p*n = 46 and q*n = 454
a) Are big enough to approximate the binomial distribution to normal distribution
b) CI = 90% CI = 0,9 significance level α = 0,10 for an CI we need
α/2 = 0,10/2 α/2 = 0,05
z(c) = - 1,64 ( from z-table)
MOE = z(c)*√(p*q)/n
MOE = 1,64 * √ ( 0,092*0,908)/500
MOE = 1,64 *√0,08353/500
MOE = 1,64 * 0,0129
MOE = 0,021
Then CI = 90 % is:
CI = ( 0,12 - 0,021 < P < 0,12 + 0,021 )
CI = ( 0,099 ; 0,141)
We have with 90 % of confidence for finding the value of p in the interval
Test Hypothesis
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Hₐ p < p₀
we have for α = 0,1 z(c) = - 2,32 from z table
And z(s) = ( p - p₀ ) / √ (p*q)/n
z(s) = ( 0,092 - 0,12 ) / √(0,092*0,908)/500
z(s) = - 0,028 / 0,0129
z(s) = - 2,17
Comparing z(s) and z(c) we see that
|z(s)| < |z(c)|
So z(s) is in the acceptance region. We can support the claim that the percentage in the State University is the same than that of the Departament of Education
Round 992 to the nearest ten
Answer:
990
Step-by-step explanation:
990
2 is lower than 5 so we round down. Instead of rounding up to 1, round down to 0
Need help (8th grade math)
Slope= rise/run
=y2-y1/x2-x1
3-1/8-7
2/1
Slope=2
Answer:
2
Step-by-step explanation:
- use the equation:
m=y^2-y^1/x^2-x^1
- pick any two points:
m= -1+3/6-5
- solve:
m= 2/1
FINAL ANSWER:
2
Sam knows that there are 12 inches in 1 foot. He has a string that is 3 1/2 feet long. What is the length of the string , in inches?
Answer:
42 in
Step-by-step explanation:
12 x 3 = 36
1/2 foot = 6 in
36 + 6 = 42
Can someone please help me answer this?
Answer:
d is greater than c, since at [tex]x = 0, g(x) > f(x)[/tex]
Step-by-step explanation:
We are given two exponential functions, f(x) and g(x).
Since f has the higher base(3 instead of 2 in g), it increases faster, so initially, g is greater than f, and after point (p,q), f is greater than g.
The values of c and d are found when [tex]x = 0[/tex]. At this point, we have that function g is greater than function f, which means that d is greater than c.
Find the slope of the line. The slope of the line is
Answer: The slope of the line is [tex]\frac{3}{4}.[/tex]
Step-by-step explanation: I use the slope formula to find the slope of the line given the graph image below that looks like this:[tex]\frac{Rise}{Run}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}.[/tex]
The rise of the points is 3 points and the run of the points is 4 points.
Now I can put it in another slope formula that looks like this: [tex]\frac{3-0}{2-(-2)}=\frac{3}{4}.[/tex]
I hoped my answer was found very helpful to your own question and have more understanding and happy Halloween! :D
Sincerely,
Jason Ta
The Helping Hand of Brainly And The Role Of The TDSB and WHCI Student.
Write an equation of a line with the given slope and y-intercept: m=-1, b=-9
Answer:
[tex]y=-x-9[/tex]
Step-by-step explanation:
The formula is y=mx+b.
Answer:
y=-1x -9
Step-by-step explanation:
the formula is y=mx+b so you just substitute the values into the formula.
Question 1 (5 points)
The height of a kicked football can be represented by the polynomial -16+47t+3
= 0, where tis the time in seconds. Find the time in seconds of when the football hits
the ground.
A) 3 seconds
B) 2.5 seconds
C) 1 second
D) O seconds
Answer:
A. 3 secseconds
Move 16 and 3 to the other side and divide
Solve for x and round to the nearest tenth
Answer:
i think its 18 :))
In a cross between individuals that are Aa × Aa, how many boxes of the Punnett square will show an offspring that is AA?
please help
Answer:
1
Step-by-step explanation:
Warren is on vacation and needs to arrange transportation. A rental car costs 60 dollars per day plus a one-time cost of 14 dollars for insurance. Construct a function C(x) that gives the total cost of renting a car for x days.
C(x) = ______________
If Warren has budgeted 434 dollars for the rental, how many days can he afford?
Answer:
The answer is C(x) = 60x + 14 and the answer to the second one is 7 days.
Step-by-step explanation:
C(x) =60x + 14
434 = 60x + 14
-14 -14
420 = 60x
/60 /60
7 = x
or
x = 7 days
Solve for x round to one decimal place.
Answer:
i wanna say 12 but i am not sure!!!!!!!!!
Step-by-step explanation:
Help me pls it’s due today at 11:59
Answer:
A rotation followed by a translation
Mikhael wanted to rewrite the conversion factor "1 yard ≈ 0.914 meter" to create a conversion factor to convert meters to yards. Complete the explanation to tell how Mikhael should finish his conversion. If necessary, round to three decimal places.
(select)
1 yard by 0.914 m gives the rate of yards per meter. So 1 meter ≈
yards.
plz need help
Answer:
[tex]1\ meter = 1.094\ yard[/tex]
Step-by-step explanation:
Given
[tex]1\ yard = 0.914\ meter[/tex]
Required
Create a convert meter to yard expression
[tex]1\ yard = 0.914\ meter[/tex]
Divide both sides by 0.914
[tex]\frac{1\ yard}{0.914} = \frac{0.914\ meter}{0.914}[/tex]
[tex]\frac{1\ yard}{0.914} = 1\ meter[/tex]
[tex]1.09409190372\ yard = 1\ meter[/tex]
[tex]1\ meter = 1.09409190372\ yard[/tex]
[tex]1\ meter = 1.094\ yard[/tex] --- approximated
Answer:
Step-by-step explanation:
In a NFL game in December the Seattle Seahawks scored 16 of their 40 points in the second quarter. What percent of their total points were made in the second quarter?
Answer:
That would be 40%.
need help with this
Answer:
y = 1
Step-by-step explanation:
Since 15 and 5, 18 and 6, and 27 and 9 all have 3 in common, then 3 should go into 1.
Answer:
1
Step-by-step explanation:
equation is always x/3=y
A square pyramid is shown below:
A square pyramid is shown. The sides of the square base are labeled 0.7 foot. The height of one of the triangular sides is labeled 8 feet.
What is the surface area of the pyramid? (1 point)
11.69 square feet
3.29 square feet
7.49 square feet
2.24 square feet
Answer: A 11.69
Step-by-step explanation:
Answer:
11.69
Step-by-step explanation:
i need pts
?????????????????????
Answer:
f(9) = 61
Step-by-step explanation:
You know f(x) = 8x - 11. So, to find f(9), you have to replace x with 9 on the other side.
f(9) = 8(9) - 11
You can solve this.
f(9) = 72 - 11
f(9) = 61
Find the value of x.
Answer:
35 degrees
Step-by-step explanation:
In planning her retirement, Liza deposits some money at 4% interest, with twice as much deposited at 4.5%. Find the amount deposited at each rate if the total annual interest income is $2080.
She deposited $___ at 4% and $____ at 4.5%.
She deposited $16,000 at 4% and $32,000 at 4.5%
She deposited $16,000 at 4% and $32,000 at 4.5%.
Let's assume Liza deposited an amount x at 4% interest. According to the given information, she deposited twice as much, which is 2x, at 4.5% interest.
To calculate the interest income from the deposits, we'll use the formula: Interest = Principal × Rate × Time.
At 4% interest, the interest earned is 0.04x (4% expressed as a decimal multiplied by x).
At 4.5% interest, the interest earned is 0.045(2x) (4.5% expressed as a decimal multiplied by 2x).
We know that the total annual interest income is $2080. Therefore, we can write the equation:
0.04x + 0.045(2x) = 2080
Simplifying the equation:
0.04x + 0.09x = 2080
0.13x = 2080
x = 2080 / 0.13
x ≈ 16,000
Liza deposited approximately $16,000 at 4% interest, and since she deposited twice as much at 4.5% interest, she deposited approximately $32,000 at 4.5% interest.
Therefore, she deposited $16,000 at 4% and $32,000 at 4.5%.
To know more about deposited:
https://brainly.com/question/32783793
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HURRY PLEASE....... Jessica always uses the same ratio of green beads to blue beads when she makes necklaces. The graph shows these equivalent ratios. Which table shows the same data?
Answer:b
Step-by-step explanation:
two beads for every 3
Problem: 2 - $(7 – 2y) = -3
Step 1: -3(7 2y) = -3
Step 2: -21 + 6y=-3
Step 3: by = 18
Step 4: y = 3
Determine which number step the mistake is Made and describe the error
Item 4: Help! asapnplease
Answer:
The answer tot he question provided is 5.
Step-by-step explanation:
→ Angle D and Angle B are congruent to each other, which means that they are equal.
→ The equation would look like:
[tex]2x + 4 = 4x - 6[/tex]
→ Solve the equation.
[tex]2x + 4 = 4x - 6 \\ \frac{ - 4x \: \: \: \: = - 4x \: \: \: \: \: \: \: \: \: }{ - 2x + 4 = - 6} \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: - 4 = - 4}{ \frac{ - 2x}{ - 2} = \frac{ - 10}{ - 2} } \\ x = 5[/tex]
→ The value of x results in being 5.
Divide and find answer
Answer:
Step-by-step explanation:
11 is A ( i think)
12 i know is c but if wrong im so sorry
hope this helps
What is the opposite of -5?
Step-by-step explanation:
the opposite of -5 is +5
have a great dayyyy :)
Nike shoes are 45% off $80.
What will be the savings
on
the
tennis shoes ?
Answer:
You pay $44 / You're saving $36
Step-by-step explanation:
100 - 45 = 55
$80 x 0.55 = $44
In order to help me move, I got a credit card with a $1,000 credit limit and spent all $1,000 the first month. The credit card charges compound interest at a rate of 15% a month, BUT, you don’t have to make any payments for one year. How much debt will I have after 1 year of having this card?
Answer
The tax/ your paying a year is 150, so you would owe 1,500 btw, answer my recent question maybe..?
Step-by-step explanation:
What is the measure of angle r
Answer:
Step-by-step explanation:
you have a pentagon , and the sum of the angles is 540
3x-10+3x-8+5x-2+3x+1+2x+15=16x-4=540
16x-4=540
16x=544
x=544/16=34
the angle= (3x-8)=(3*34)-8=94
I will mark brainliest please help
Answer:
15 cups
Step-by-step explanation:
The formula to find cups from quarts C = Q * 4, where c is how many cups, and Q how many quarts. To find how many cups are in a quart, simply multiply the number of quarts by 5. In this case, there are 3 3/4 quarts of coffee, multiply that by 5, and you would get 15 cups of coffee!
You spin the spinner twice.
5
4
What is the probability of landing on an odd number and then landing on a 5?
Simplify your answer and write it as a fraction or whole number.
Submit
Answer:
5 by 2
because the number is 5 .
And the spinner is spin two time
so 5 by 2
Step-by-step explanation:
hope it helps you