The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 2 of 2 : Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level. Using the data, construct the 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.

Answers

Answer 1

Answer:

The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).

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].

Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level.

So 292 - 240 = 52 read below or at eight grade level, and that [tex]n = 292, \pi = \frac{52}{292} = 0.178[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.149[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.207[/tex]

The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).


Related Questions

Calculator

A normal distribution has a mean of 102 and a standard deviation of 2.9.

What is the z-score of 105?

Enter your answer, rounded to the nearest hundredth, in the box.

Answers

Answer:

the z score of 105 is 1.03

Step-by-step explanation:

Given that

the mean is 102

And, the standard deviation is 2.9

We need to find the z score of 105

As we know that

Z score = (Observed value - mean) ÷ standard deviation

= (105 - 102) ÷ 2.9

= 1.03

Hence, the z score of 105 is 1.03

The same would be considered and relevant

Malik estimated that 150 people would attend a concert. The exact attendance was 215 What is his percent error, to the nearest percent? ​

Answers

Answer:

I think around 43.3%

Step-by-step explanation:

215-150

150

65

150          x 100

=43.3333333333333

Answer:

I think around 43.3%

Step-by-step explanation:

Find the missing length indicated. Leave your answer as radicals in simplest form
Please help, no links

Answers

9514 1404 393

Answer:

  a = 4

  b = 2√3

Step-by-step explanation:

The side lengths of a 30°-60°-90° right triangle are in the ratio 1 : √3 : 2.

The shortest side in the given triangle is 2, so we can multiply by 2 to see the ratios are ...

  2 : 2√3 : 4 = 2 : b : a

  b = 2√3

  a = 4

Can u help me please I will mark u brilliant

Answers

Answer:

c

Step-by-step explanation:

Answer:

the answer is 5

Step-by-step explanation:

i will give Brainiest if you are right

Answers

Answer:

[tex]The \ measure\ of\ the \ third \ angle \ is \ 61 \ degrees[/tex]

Find the lie 3 of the 4 statements are true find the false one statement

Answers

Answer:

Step-by-step explanation:

If those choices given (there is one missing) the false statement is the constant term is 3. It's not. -3 is the constant term.

Answer:

Step-by-step explanation:

C. the constant term is not 3

Factor the following the expression,
-15m -25

Answers

Answer:

[tex]-5(3m+5)[/tex]

Step-by-step explanation:

Factor by grouping:

'-5' is a common factor.

Factoring out '-5'....

[tex]-15m-25\\\\\boxed{-5(3m+5)}[/tex]

Hope this helps.

if a graph shows no solution what is the inequality

Answers

If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions. Use the sign of each side of your inequality to decide which of these cases holds. If the number on the other side of the inequality sign is positive, proceed to step 3.

Find the indicated limit, if it exists.
The limit is approaching 5.

Possible Options:
a) 0
b) 8
c) 3
d) The limit does not exist​

Answers

Answer:

d) The limit does not exist

General Formulas and Concepts:

Calculus

Limits

Right-Side Limit:                                                                                             [tex]\displaystyle \lim_{x \to c^+} f(x)[/tex]Left-Side Limit:                                                                                               [tex]\displaystyle \lim_{x \to c^-} f(x)[/tex]

Limit Rule [Variable Direct Substitution]:                                                             [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Limit Property [Addition/Subtraction]:                                                                   [tex]\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)[/tex]

Step-by-step explanation:

*Note:

In order for a limit to exist, the right-side and left-side limits must equal each other.

Step 1: Define

Identify

[tex]\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x,\ x < 5\\8,\ x = 5\\x + 3,\ x > 5\end{array}[/tex]

Step 2: Find Right-Side Limit

Substitute in function [Limit]:                                                                         [tex]\displaystyle \lim_{x \to 5^+} 5 - x[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]:                           [tex]\displaystyle \lim_{x \to 5^+} 5 - x = 5 - 5 = 0[/tex]

Step 3: Find Left-Side Limit

Substitute in function [Limit]:                                                                         [tex]\displaystyle \lim_{x \to 5^-} x + 3[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]:                           [tex]\displaystyle \lim_{x \to 5^+} x + 3 = 5 + 3 = 8[/tex]

∴ Since  [tex]\displaystyle \lim_{x \to 5^+} f(x) \neq \lim_{x \to 5^-} f(x)[/tex]  , then  [tex]\displaystyle \lim_{x \to 5} f(x) = DNE[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Limits

There are two tables shown below. Which table shows a constant rate?

Answers

Answer:

Option B

Step-by-step explanation:

To calculate the rate of the table is given by the expression,

Rate = [tex]\frac{\triangle y}{\triangle x}[/tex]

For table A,

    x              y                 [tex]\triangle y[/tex]                   [tex]\triangle x[/tex]          [tex]\frac{\triangle y}{\triangle x}[/tex]

    2             10                 -                       -              -

    3             15           15 - 10 = 5        3 - 2 = 1      [tex]\frac{5}{1}=5[/tex]

    5             20          20 - 15 = 5       5 - 3 = 2     [tex]\frac{5}{2}=2.5[/tex]

    8             25          25 - 20 = 5      8 - 5 = 3     [tex]\frac{5}{3}=1.67[/tex]

Therefore, rate is not constant in this table.

For table B

    x              y                 [tex]\triangle y[/tex]                   [tex]\triangle x[/tex]          [tex]\frac{\triangle y}{\triangle x}[/tex]

    3              9                 -                       -              -

    5             15           15 - 9 = 6        3 - 5 = 2      [tex]\frac{6}{2}=3[/tex]

    8             24          24 - 15 = 9       8 - 5 = 3     [tex]\frac{9}{3}=3[/tex]

   10             30          30 - 24 = 6     10 - 8 = 2     [tex]\frac{6}{2}=3[/tex]

Therefore, table B shows a constant rate of 3.

Option B is the correct option.

       

ANSWER THIS ASAP NO FILE AT ATT!!

Answers

Answer:

option B

Step-by-step explanation:

Have a great day!

Answer: C

Step-by-step explanation:

I did the test and it was right


Ten years ago, Scott bought a board game for $30. That board game has now increased it's value by 83%

Answers

Answer:

the awnser is 54.9 ( mark as best awnser )

What is the perimeter of a square with a side length of 9 meters?​

Answers

Answer:

36 meters

Step-by-step explanation:

A square has equal side lengths, and a total of 4 sides, so

9 times 4 is equal to 36.

Remember your units!

Factor the following expression 8x^2+2x-158x2+2x−15

Answers

Answer:

(9-x)

Step-by-step explanation:


Write the slope-intercept form of the equation of the line.

Answers

9514 1404 393

Answer:

  y = x + 2

Step-by-step explanation:

We observe that the line crosses the y-axis at y=2, so the y-intercept is 2.

The line has a rise of 1 grid square for each run of 1 grid square to the right. The slope is the ratio of rise to run:

  m = rise/run = 1/1 = 1

The slope and intercept can be put into the slope-intercept form:

  y = mx + b . . . . . line with slope m and y-intercept b

  y = 1x +2 . . . . . .  line with slope 1 and y-intercept 2

  y = x +2 . . . . . . . simplified

In an article by researchers Meehl and Rosen (Psychological Bulletin, 1955), a diagnostic test was examined for detecting psychological adjustment in soldiers. A positive result indicates the solder is mal-adjusted whereas a negative result indicates well-adjusted. For soldiers known to be well-adjusted, the test gives a positive result 19% of the time. For soldiers known to be mal-adjusted, the test gives a positive result 55% of the time. The researchers believed that 5% of all soldiers are mal-adjusted. Suppose a soldier is selected at random and they test positive. What is the probability that soldier is mal-adjusted

Answers

Answer:

0.1322 = 13.22% probability that the soldier is mal-adjusted.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive test

Event B: Soldier is mal-adjusted.

Probability of a positive test:

55% of 5%(mal-adjusted).

19% of 100 - 5 = 95%(well adjusted). So

[tex]P(A) = 0.55*0.05 + 0.19*0.95 = 0.208[/tex]

Probability of a positive test and soldier being mal-adjusted.

55% of 5%. So

[tex]P(A \cap B) = 0.55*0.05 = 0.0275[/tex]

What is the probability that the soldier is mal-adjusted?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0275}{0.208} = 0.1322[/tex]

0.1322 = 13.22% probability that the soldier is mal-adjusted.

Rewrite the function f(x)=-4(x+3)2 – 2 in the form f(x) = ax²+bx+c.

Х
?
Recheck
Try again

Answers

Answer:

f(x) = -4x² - 24x - 38

Step-by-step explanation:

f(x )= -4(x + 3)² – 2

Expand the squared term

f(x) = -4 (x² + 6x + 9) - 2

Distribute the -4

f(x) = (-4x² - 24x - 36) - 2

Combine like terms

f(x) = -4x² - 24x - 38

Relationships in Figures

Which process defines the Fibonacci sequence?

a. exculsive
b. recursive
c. inclusive
d. extensive

Please select the best answer from the choices provided

Answers

Answer:

B. Recursive

Step-by-step explanation:

I calculated it logically

The circumference of a circular painting is 40.82 feet. What is the radius of the painting? Use 3.14 for pie and do not round your answer.

Answers

Answer:

The radius is equal to 6.5 feet.

Step-by-step explanation:

To solve this we need to know that circumference equals 2πr (where "r" is the radius). Therefore, we can make the following equation...

2πr = 40.82

πr = 20.41

3.14r = 20.41

r = 6.5

Now we know that the radius is equal to 6.5 feet.

A windshield wiper turns through an angle of 150°. The top of the blade traces the are with a 20-inch radius. How long is the
arc?
A. 52.36 inches
B. 75.4 inches
C. 0.1308 inches
D. 3000 inches

Answers

Answer:

A

Step-by-step explanation:

Arc length is given by the formula:

[tex]\displaystyle s=2\pi r\frac{\theta}{360^\circ}[/tex]

Where r is the radius and θ is the central angle, in degrees.

The windshield wiper has a radius of 20 inches and a central angle of 150°. Hence:

[tex]\displaystyle s=2\pi (20)\left(\frac{150}{360}\right)[/tex]

Use a calculator:

[tex]\displaystyle s=\frac{50}{3}\pi \approx52.36\text{ inches}[/tex]

Our answer is A.

Can someone please help me I will mark u brilliant

Answers

Answer:

the first one

Step-by-step explanation:

The problem says that the plot must have a maximum of 44, which means the most right dot must be on the 44 mark. All the graphs fit this requirement (the dashes are in increments of 2) The problem says that it must have an upper quartile of 39, which means the line closest to the maximum dot must be on the 39 mark. Graphs 2 and 3 do not meet this requirement, so they are eliminated. The last requirement is the median of 25. The median is represented by the middle line in the middle of the boxes. Graph 4 does not fit this requirement, so it is eliminated. Thus, only the first graph follows all 3 requirements.

find mHK please help

Answers

Answer:

66°

Step-by-step explanation:

When a radius(diameter in this case) is perpendicular to a chord, it bisects the chord and the arc formed by the chord. Because of this, we can say mHJ is equal to mKJ. We can write an equation:

mHJ = mKJ

and substitute:

x + 20 = 6x - 45

20 = 5x - 45

65 = 5x

x = 13

mHK is the sum of mHJ and mKJ, we can write mHK as the expression:

x + 20 + 6x - 45

7x - 25

We can substitute x:

7(13) - 25

91 - 25

66°

I need help to find m

Answers

Answer:

∠MNO = 75°

Step-by-step explanation:

∠mno = 1/2 ( arc MLP - arc MOP )

arc MLP = 241 and arc MOP = 91

so ∠MNO = 1/2 ( 241 - 91 )

241 - 91 = 150

150/2 = 75

Hence, ∠MNO = 75°

It’s is 75 because I did it right now

I which of the following is the correct measure of angle ACD?

Answers

Answer:

And the reasoning behind this calculation is because they're alternate angles on parallel lines. So, therefore, we can say, using the information that we've been given, we can say that the measure of angle  is equal to 127 degrees

what is the y intercept of 2(x-2)^2+3

Answers

(0,11) I just used Desmos graphing calculator

1.What is the surface area of the prism? (1 point)

283.8 m²

292.4 m2

325.4 m²

407 m²


2. What is the lateral surface area of the prism? (1 point)

283.8 m²

292.4 m2

325.4 m²

407 m²

Answers

Answer:

The surface area is [tex]325.4m^2[/tex]

The lateral surface area is: [tex]292.4m^2[/tex]

Step-by-step explanation:

Given

[tex]L = 3m[/tex] -- Length

[tex]H =17.2m[/tex] --- Height

[tex]W = 5.5m[/tex] --- Width

See attachment for prism

Solving (a): The surface area

This is calculated as:

[tex]S.A = 2 * (LW + WH + LH)[/tex]

This gives:

[tex]S.A = 2 * (3*17.2 + 17.2 * 5.5 + 3 * 5.5)[/tex]

[tex]S.A = 2 * (51.6 + 94.6 + 16.5)[/tex]

[tex]S.A = 2 * 162.7[/tex]

[tex]S.A = 325.4m^2[/tex]

Solving (b): The lateral surface area

This is calculated as:

[tex]L = 2 * (L + W) * H[/tex]

So, we have:

[tex]L = 2 * (3 +5.5) * 17.2[/tex]

[tex]L = 2 * 8.5 * 17.2[/tex]

[tex]L = 292.4m^2[/tex]


Question 40 of 43
Researchers conduct a study to evaluate the level of
pollution present in a river. They select several locations
along the river and then take a sample of water from each
location.
What is the population under study?

ILL GIVE BRANLIEST OR HOWEVER YOU SPELL IT

Answers

Answer:

c

Step-by-step explanation:

i did it

Answer:

The correct answer is C.

Step-by-step explanation:

I did the exam.

A quarter has a diameter of 2.4 centimeters. What is the area of the coin (round answer to nearest tenth)?

Answers

Answer:

4.5

Step-by-step explanation:

The equation of an area of a circle is A=πr² where r is the radius.

The radius is also half the diameter. So the radius of the quarter is 1.2

A=π(1.2)²

A=π(1.44)

A=4.52389

Answer:

4.5 answer is on the picture below. :) Thank you!

Step-by-step explanation:

Proof...

3a+5b-9: a=2, b=3 that is my question I need help

Answers

Answer:

12

Step-by-step explanation:

Replace a=2 and b=3 into the a and b in the equation to get, 3(2)+5(3)-9=12

Need help solving this problem.
-30x+147=-171-24x

Answers

Answer:

-30x+147= -171-24x

+24x                +24x

-6x+147= -171

     -147   -147

       -6x= -318

           x=53

Hope this helps!

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