A selective university advertises that 96% of its bachelor’s degree graduates have, on graduation day, a professional job offer or acceptance in a graduate degree program in their major area of study. In a sample of 227 recent graduates this was true of 209 of them. The probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is about:________

a. 0.015
b. 0.001
c. 0.131
d, 0.084

Answers

Answer 1

Answer:

The probability is  [tex]P( p < 0.9207) = 0.0012556[/tex]

Step-by-step explanation:

From the question we are told

  The population proportion is [tex]p = 0.96[/tex]

 The sample size is  [tex]n = 227[/tex]

 The number of graduate who had job is  k = 209

Generally given that the sample size is large enough  (i.e n >  30) then the mean of this sampling distribution is  

       [tex]\mu_x = p = 0.96[/tex]

Generally the standard deviation of this sampling distribution is  

    [tex]\sigma = \sqrt{\frac{p (1 - p )}{n} }[/tex]

=>  [tex]\sigma = \sqrt{\frac{0.96 (1 - 0.96 )}{227} }[/tex]

=>  [tex]\sigma = 0.0130[/tex]

Generally the sample proportion is mathematically represented as

      [tex]\^ p = \frac{k}{n}[/tex]

=> [tex]\^ p = \frac{209}{227}[/tex]

=> [tex]\^ p = 0.9207[/tex]

Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as

     [tex]P( p < 0.9207) = P( \frac{\^ p - p }{\sigma } < \frac{0.9207 - 0.96}{0.0130 } )[/tex]

[tex]\frac{\^ p - p}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \^ p )[/tex]

   [tex]P( p < 0.9207) = P(Z< -3.022 )[/tex]

From the z table  the area under the normal curve to the left corresponding to    -3.022  is

     [tex]P(Z< -3.022 ) = 0.0012556[/tex]

=> [tex]P( p < 0.9207) = 0.0012556[/tex]


Related Questions

0.142857143 as a fraction

Answers

Answer:

14287143/1000000000 :)

Step-by-step explanation:

Answer:

142857143 / 1000000000

Step-by-step explanation:

WILL GIVE BRAINLIEST FOR EXPLANATION!!!!!! AND ANSWER!
How does the graph of g(x) = −(x + 3)4 compare to the parent function of f(x) = x4?

Answers

Answer:

you cant give brainliest you have to earn it

Answer:

The graph will be flipped and move 3 units to the left

Step-by-step explanation:

Parent function: f(x) = x^4

Graph: g(x) = −(x + 3)^4

Compared to the parent function, g(x) will be flipped because of the negative coefficient and move 3 units to the left because of (x+3).

A shirt is regularly priced at 42$. It is on sale for 15% off of the regular price. What is the sale price of the shirt ?

Answers

Answer:

$35.7

Step-by-step explanation:

you can convert 15% to a decimal by dividing by 100.

15/100 = .15

if you multiply the decimal by the cost of the shirt you get how much the discount is.

0.15 * $42 = 6.30

so a 15% discount on a $42 shirt is $6.30 off. So you subtract the discount from the total cost.

$42 - $6.30 = $35.70 that is the sale price of the shirt.

Answer:

$35.7

Step-by-step explanation:

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Answers

Answer:

20 %

Step-by-step explanation:

Percentage = [tex]\frac{2}{10}*100[/tex]

                   = 2 * 10

                   = 20%

A stand at a farmer's market sells three different types of apples. The table below shows the cost and weight of the apples.

Answers

Answer:

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Answer:

Please show the table I cannot help with no info!

Step-by-step explanation:

the lenght of a rectangle tile is 24 cm and its breadth is 40 mm find its area in square mm​

Answers

Answer:

area=length*breadth

area=24*40

area=960sqare m

if we convert 960m to mm it will be 960000mm

final answer area=960000 square mm

Please help last question

Answers

Answer:

1/3x

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Hope this helps! :)

The slope of a line is a number we can calculate using any two points on the line. To find the slope, divide the____ distance between the points by the _____ distance.
i need the blanks

Answers

Answer:  To find the slope, divide the__Y__ distance between the points by the __X___ distance.

Step-by-step explanation: The formula is (Y2-Y1)/ (X2-X1)

Which ordered pair would form a proportional relationship with the point graphed below?
100 iv
90
8 8 8 8 8 8 3 8
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10 20 30 40 50 60 70 80 90
X
(10. 10)
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(70.50
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Answers

(90.60)
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30 POINTS please help I really need help :(((((((
During photosynthesis, plants take in carbon dioxide causing its concentration in the atmosphere to ___________.
a) increase
b) decrease

If more airplanes and cars are used (both of which burn fossil fuels), carbon levels will increase.

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True

False

Answers

Answer:

u said 30 points

Step-by-step explanation:

Answer:

a) increase

b) true

Step-by-step explanation:

Hope this helps plz hit the crown:D

The model shows the expression 219 Which expression is equivalent to this sum? O 3(7+3) O 307)+ 3 O 3+7+3 O 7(3+3) Mark this and retum Me​

Answers

Answer:

a

Step-by-step explanation:

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Answers

Answer:

c would be your answer:)

Answer:

D. x=-2

Step-by-step explanation:

Pluggy chuggy those answer choices and -2 is the only one that works. The rest of the answer choices are extraneous. Therefore the answer is -2 and can not be infinitely many solutions since B and C do not work.

we have 60,30,9,42- ?​

Answers

Answer:

What’s the freaking question G ??!?

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Find the sum of the interior angle measures of a regular polygon
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Answers

Answer:

2700

Step-by-step explanation:

the formula is (n - 2) 180

A triangle has side length of 2x, 3x-1, 4x +8 find the expression for the perimeter​

Answers

Answer: 2x+3x-1+4x+8

To make rice, you mix 1.5 cups of water for every 1 cup of dry rice. This will make 2 servings. How many cups of dry rice and how many cups of water will you need to serve 10 people?

Answers

Answer:

7.5 cups of water

5 cups of dry rice

Step-by-step explanation:

In total 1.5 water and 1 cup rice will equal 2 servings. If you are serving 10 people, you need to multiply each by 5.

Translate this phrase into an algebraic expression.
10 more than twice a number
Use the variable n to represent the unknown number.

Answers

Answer:

n x 2 + 10

Step-by-step explanation:

All you need to do is apply this say to a number like 10 for ex: 10 x 2 + 10

= 20 + 10

= 30

Now do the same with n!

n x 2 + 10 and there is your answer!

what is the answer ​

Answers

6576576576576475463543543653 is the answer:)

transformation mystery picture​

Answers

Answer:

1  9

6  -2

-12  10

4  3

9  -5

3  -8

-4  6

-4  -3

-1  2

2  7

-18  -15

6  -3

-7  -6

-2  21

-5  5

2  2

Step-by-step explanation:

Write the number to least to greatest

Answers

Answer:

C

Step-by-step explanation:

4/15 is 2.66666 which makes it the larges putting it last

everything else is self explanitory

Work out the multiplier as a decimal number for an increase of 5% followed by an increase of 3%

Answers

Answer:

8% multiped by what ever the decimal is

Step-by-step explanation:

5% + 3% = 8%

If a rectangular prism has a length width and height of 38 cm 58 cm in 78 cm respectively in the volume of the prism is blank cubic centimeterk

Answers

Answer:

7 but not sure

Step-by-step explanation:

Help please geometry 10 points

Answers

Answer:

15) LKJ congruent YZX 16) VXW Congruent PRQ

Step-by-step explanation:

This is the answer

A soccer ball kicked from the ground with an initial velocity of 32 ft/s is given by the function When is the soccer ball moving through the air? {t | –2 < t < 2} {t | –4 < t < 4} {t | 0 < t < 2} {t | 0 < t < 4}

Answers

Answer:3rd one

Step-by-step explanation: Took the test

Answer:

answer is C. {t | 0 < t < 2}

Step-by-step explanation:

2. The velocity of an object in motion is given by the function y(t)=-78.4t + 288 where vt is the velocity of the object in meters per second at time t.

B. After how many seconds does the object momentarily come to rest and then change directions?​

Answers

Answer:

t = 3.7 seconds

Step-by-step explanation:

Linear Modeling

The velocity of an object is modeled by the function

v(t) = -78.4t + 288

Where v is expressed in m/s and t is expressed in seconds.

The velocity is a vector, therefore its sign indicates its direction. If the object is at rest, then its velocity has a magnitude of zero.

To find when the object comes to rest, we set the velocity to 0:

-78.4t + 288 = 0

Now solve for t. Subtracting 288:

-78.4t = -288

Dividing by -78.4:

t = -288 / -78.4

t = 3.7 seconds

How much is 4 times 4?

Answers

Answer:

16 :D

Step-by-step explanation:

4 * 4 = 16

Answer:

16

Step-by-step explanation:

4x4=16

Hope this helps.

David earns a 4% commission for all the furniture he sells if David receives 7500 in commission this year what is the dollar amount of his sales

Answers

Answer:

$187,500

Step-by-step explanation:

Answer:

$187,500, but I could be wrong.

Step-by-step explanation:

7500=0.04x

A video game has the following formula: For every 1,333 in attack power, you gain 3 levels. You get one bonus star per every 38 levels completed. If a player has an attack power of 0.21 million, how many bonus stars could they get? Round to a whole number.

Answers

Answer:

Rounded to a whole number, the player has 12 bonus stars.

Step-by-step explanation:

Since the video game establishes that for every 1,333 points of attack power 3 levels are gained, and that the player has a total of 0.21 million attack points, to determine the number of levels that player has it is necessary to perform the following calculation :

0.21 million = 210,000

210,000 / 1,333 x 3 = Levels

472.6 = Levels

Now, every 38 levels, the game awards a bonus star. To determine the amount of bonus stars that the player has, the following division must be made:

472.6 / 38 = X

12.43 = X

Thus, rounded to a whole number, the player has 12 bonus stars.

1, 2 after a reflection y = 0 followed by a reflection y = 2

Answers

Answer: ahhhhhummm I think it’s 5

Step-by-step explanation:

Answer:

(1,6)

Step-by-step explanation:

First you would reflect over y=0. Whenever you reflect over y=0, the y-coordinate will be multiplied by -1, so it changes to (1,-2). (1,-2) is 4 coordinates below the line y=2, so when reflected over y=2, the coordinate will be 4 above y=2, which means that the coordinate will be (1,6)

Jenny bought a pair of pants for $19.99 and two shirts for $7.50. If she gave the cashier 40 dollars how much change did she receive. Assume there are no tax sales

Answers

Answer:

Jenny will receive $12.51 in change.

Step-by-step explanation:

We need to find the total cost first.

19.99 + 7.50 = 27.49

We then subtract that from the 40 dollars she gave to get the amount of change she receives.

40.00 - 27.49 = 12.51.

She will receive $12.51 in change.

hope this helped!  

Jenny will receive $12.51 in change.

We have given that the Jenny bought a pair of pants for $19.99 and two shirts for $7.50.

We need to find the total cost first.

What is the total cost?

Total cost=price of pants +price of shirt

19.99 + 7.50 = 27.49

We then subtract that from the 40 dollars

She gave to get the amount of change she receives.

So we have to subtract the total cost from 40 so we get,

40.00 - 27.49 = 12.51.

She will receive $12.51 in change.

To learn more about the cost visit:

https://brainly.com/question/25109150

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