The student body President of a high school claims to know the names of at least 1000 of the 1800 students at the school. To test this claim, the Student Government Advisor randomly selects 100 students from the school and asks the President to name each one. The President is able to correctly name 46 of the students. What would be the 99% confidence interval for p in this case?

Answers

Answer 1

Answer:

The 99% confidence interval for p in this case is (0.3317, 0.5883).

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].

Randomly selects 100 students from the school and asks the President to name each one. The President is able to correctly name 46 of the students.

This means that:

[tex]n = 100, \pi = \frac{46}{100} = 0.46[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.46 - 2.575\sqrt{\frac{0.46*0.54}{100}} = 0.3317[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.46 + 2.575\sqrt{\frac{0.46*0.54}{100}} = 0.5883[/tex]

The 99% confidence interval for p in this case is (0.3317, 0.5883).


Related Questions

Choose the following function that belongs to the squaring family.
Oy= x3 + x2
O y=x2-x
Oy= x+22
Oy= X

Answers

Answer: B. y=x2-x

Reason: the highest degree is two so it is a square function.


Find the missing dimension. Use the scale factor 1: 8.
Model length: 6 cm.
Actual length: ?cm.
What is the actual length

Answers

Answer:

9cm

Step-by-step explanation:if im wrong sorry

Which expression is equivalent to 6-8 x 65?

Answers

Answer:

12-16 X 130

Step-by-step explanation:

Lol its asking for an equivalent expression meaning the same thing soooo... I just multiplied each number by two: 6X2= 12) 8X2=16) 65X2= 130) so the expression will be 12-16 X 65.

ps.

If u get any other answers with a different one than mine it doesnt mean its incorrect because there are infinite equivalent answers for this expression

Someone please help me and thank you:)

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Answer:

your answer is F . s=1/6r .

Solve the proportion below.​

Answers

Answer:

where?????????????????????:/

Answer:

i would but where it is?


You can think of percentages in terms of fractions. Describe how you can think about 10%, 25%, and
75% by using fractions. Consider using tape diagrams to support your explanation

Answers

Answer:

You can think percentages as fractions by always using the denominator as 100 and the percentage as the numerator. For example, 10% would be 10/100 or 1/10 and 25% as 25/100 or 1/4 and 75% as 75/100.

WILL GIVE BRAINLIEST

Answers

Answer:

the answer it's B we got the same test

PUT THE B

Answer:

mm option a is right

Step-by-step explanation:

bcz there is only 1 zero less in weight of elephant as compared to whale hope it may help u

Mason spends $24 on hot dogs and buns for his graduation picnic. Hot dogs cost $3 per pack and buns cost $2 per packGraph the equation that models this situation, given that represents packs of hot dogs and y represents packs of buns

Answers

Answer: i don’t know

Step-by-step explanation: because I don’t know

what is the solution to the equation below -5/4 x + 2/5 equals -13 / 30​

Answers

The answer is 2/3 I really hope this helps :)

Please help look at picture


round to the nearest tenth

Answers

I see that its a kuta software page. Search up the name of the topic at the top left and then at the end put kuta software. It works like a charm.

Americans eat an average of 100 acres of pizza per year. That is equivalent to 4,356,000 square feet of pizza per year. How is the area expressed using scientific notation?

Answers

Answer:

D.  [tex] 4.356 * 10^6 [/tex] ft²

Step-by-step explanation:

Scientific notation of a number is expressed in the following form, [tex] a * 10^b [/tex]

Where,

a = decimal number (1 ≤ |a| < 10)

b = the power of 10 whereby the scientific notation is equivalent to the original number.

To express 4,356,000 square feet in scientific notation, do the following:

1. Move the decimal point to the left up to the last non-zero digit =  a = 4.356

2. Since we moved the decimal point by 6 decimal places, therefore, b = 6

3. Substitute the values of the variables into  

Thus:

4,356,000 = 3. Substitute the values of the variables into  

a * 10^b

Thus:

4,356,000 = 4.356 * 10^6

Find 3 ratios that are equivalent to the given ratio. 4:15

Answers

Answer: 8:30, 16:60, 32:120

               

           

Y-3=2(x+1)
Missing values?

Answers

The missing value for y is 3
Step-by-step explanation:
y−3=2(x+1)
We know that x=-1 and we want to solve for y
Put in x=-1
y-3 = 2(-1+1)
y-3 = 2(0)
y-3=0
Add 3 to each side
y-3+3 = 0+3
y =3


Evaluate the function, find f(-2):
f(x) = 2x^2 +3x

Answers

Answer:

B) 2

Step-by-step explanation:

f(-2) = 2 * (-2)^2 + 3(-2)

f(-2) =  2 * 4 - 6

f(-2) = 8 - 6

f(-2) = 2

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Answers

Triangles A & B are similar

Answer:

A and B!!!

Step-by-step explanation:

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Answers

Answer:

375

Step-by-step explanation:

A male African elephant weighs
7 Tons. A male African lion at the local zoo weighs
1
50
of
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How many pounds does the lion weigh?
The lion weighs
pounds.

Answers

0.14 Short Tons = 280 pounds

(I dont know how a fat A* Lion weighs 280 pounds, but just go with it-)

The sum of the measures of two angles is 107.3º. One angle has a measure of 51º. What is the measure of the second angle?

Answers

Answer:

56.3°

Step-by-step explanation:

If the total is 107.3° just subtract 51° to get 56.3°

How to figure 7% of 2400?

Answers

Answer:

168

Step-by-step explanation:

2400 X .07= 168 so 168 is the answer

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Answers

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Answers

Answer:

7

Step-by-step explanation:

16 - 9 = 7

Answer:

7

Step-by-step explanation:

If Hannah collects 16 and Sid collects 9

Hannah has 7 more pounds of paper than Sid

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Which is a better deal 12.4 ounces for $4.99 or 21 ounces for $6.49?

Answers

Answer:

Getting 21 ounces for $6.49 is a better deal!

Step-by-step explanation:

4.99 / 12.4 = 0.402419...

6.49 / 21 = 0.30904...

0.4 is larger than 0.30 therefore 0.30 is less and a better deal.

Have an amazing day! ^-^

which of the following are some of the possible soulitions for the inequality -9w < -54

Answers

the answer

w < 6

Step by Step

-9w < -54

w < -54/-9

w< 6

Evaluate the expression when a=4 and b=-3.
-a +4b

Answers

Answer:

-16

Step-by-step explanation:

-a +4b

By putting the value a = 4 and b = -3

= -(4) + 4 × (-3)

= -4 - 12

= -16 (Ans)

Sense we know the values of a and b all we need to do is fill them in the problem and solve it
So once you fill them in it would give you -4+(4•-3)
Then you would simplify the parentheses
-4+(-12)
After wards you would add these two numbers together and since they are negative it would appear for the number to be bigger even though it is getter quite smaller
So the answer to this expression would be
= -16

Functions W and Z are both linear functions of x. Which statement comparing the functions is true?

Answers

Answer is in the file below

tinyurl.com/wpazsebu

Dylan and Marcella decided to build a fence. Dylan worked alone for 2 hours. Marcella arrived, and they worked 1 hour together. Dylan left, and Marcella worked 1 hour alone. The fence was then ½ done. Individually, it takes Dylan 3 more hours to build a fence than Marcella. How long would it take Dylan and Marcella each to build the fence by themselves?

Answers

do you have a picture?

HELP PLEASE
A popular scale for model trains has a ratio of 3 inch to 20 feet. If a toy train is 4.5 inches long, how long is the real train?


A. 60 ft


B. 24.5 ft


C. 90 ft


D. 30 ft

Answers

The answer would be D every 1 inch would equal 6.66666667 added so 26.66666667

+ 3.33333333
Your answer would be 30 Ft

PLZ HELP ASAP WILL MARK U BRANLYEST... thanks:)

Answers

Step-by-step explanation:

Here we are going to use the Pythagoras theorem to get the Hight of the Television

[tex] {42}^{2} - {32}^{2} = x[/tex]

X Being the unknown side

[tex] {42}^{2} - {32}^{2} = 740 \\ x = \sqrt{740} = 27.2[/tex]

So the height is 27.2in

The Are of the screen would be L x B

27.2 x 32 = 870.2 in^2

We will use Pythagoras for the last question also

[tex] {40}^{2} + {32}^{2} = 2624 \\ \sqrt{2624} = 51.23[/tex]

She will need 51.23 in screen size

Helpp worth 20 points!!
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Answers

Answer:

y = -x -2

Step-by-step explanation:

Answer:

-x - 2 = y

I hope this is correct :P

PLSSSSSSSSSSSSSSSSSSSS HELPPPPPPPPPPPPPPPPPPP RNNNNNNNNNNNNNNNNN

Answers

The correct answer the last equation D!!
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