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

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

1  9

6  -2

-12  10

4  3

9  -5

3  -8

-4  6

-4  -3

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

$35.7

Step-by-step explanation:

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15/100 = .15

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

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

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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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.

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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

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 :

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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.

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Answers

Answer:

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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

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

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!

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