1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DIA [1.3K]
3 years ago
8

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
Mathematics
1 answer:
OLEGan [10]3 years ago
6 0

Answer:

The probability is  P( p <  0.9207) = 0.0012556

Step-by-step explanation:

From the question we are told

  The population proportion is p = 0.96

 The sample size is  n  =  227

 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  

       \mu_x = p = 0.96

Generally the standard deviation of this sampling distribution is  

    \sigma  = \sqrt{\frac{p (1 - p )}{n} }

=>  \sigma  = \sqrt{\frac{0.96 (1 - 0.96 )}{227} }

=>  \sigma  = 0.0130

Generally the sample proportion is mathematically represented as

      \^ p =  \frac{k}{n}

=> \^ p =  \frac{209}{227}

=> \^ p =  0.9207

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

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

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

   P( p <  0.9207) = P(Z< -3.022 )

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

     P(Z< -3.022 ) = 0.0012556

=> P( p <  0.9207) = 0.0012556

You might be interested in
What is the area of this trapezoid?
son4ous [18]
Its C)126in I think because top base is 16, bottom base is 12 and the height is 9. 

5 0
3 years ago
Millie borrowed $20 from her dad. Explain why this situation indicates a negative number for Millie even though $20 is a positiv
Nata [24]
Millie will have to pay the $20 back, and as she already has no money, she's now $20 in debt
7 0
3 years ago
Read 2 more answers
Sketch the area under the standard normal curve over the indicated interval and find the specified area. (You can use the probab
mafiozo [28]

The area to the right of z = 1.35 is 0.0885 and the area to the left of -0.47 is 0.3192.

<h3>How to compute the values?.</h3>

Given z = 1.35

= 1- P(z < 1.35)

= 1- 0.9115

= 0.0885

The area to the left of -0.47 will be:

= 1 - P(z < 0.47)

= 1 - 0.6808

= 0.3192

Learn more about normal curve on:

brainly.com/question/6758792

#SPJ1

8 0
2 years ago
the length of a rectangular building is 6 feet less than 3 times t he width. The perimeter is 120 feet. Find the width and the l
garri49 [273]
Call the width x.  Note that the length is 3x-6.  We know that double the width plus double the length is 120, so we write an equation:

2(x)+2(3x-6)=120
2x+6x-12=120
8x-12=120
8x=132
x=16.5
If x is 16.5, the width is 16.5, and the length is 3 \cdot 16.5 - 6 = 43.5.
5 0
3 years ago
Your neighbor leaves his yard, which is 120 ft from the bus stop. He begins to walk toward you at the bus stop and then passes y
Sergio [31]

Answer:

any fraction's? I can't tell

5 0
3 years ago
Other questions:
  • What are benefits of having a quadratic in standard form
    6·1 answer
  • Write a compound inequality that represents the evelation range for each type of plant life
    11·1 answer
  • Please help i have 4 min
    8·1 answer
  • Ticket prices were on sale from $8.75 to $6.00. What is the percent of decrease rounded to the nearest tenth?
    13·1 answer
  • 183.3 ÷ 0.78=????????????<br> Who ever answers 1st gets brainleist!!!
    10·1 answer
  • john is n years old. kim is three years younger than john. vanessa is half kim's age. write an expression for each persons age.
    11·1 answer
  • Help me answer just #1 (Basic Geometry)
    10·1 answer
  • Find the equation of the linear function represented by the table below in slope-intercept form.
    11·1 answer
  • The graphs below have the same shape the equation of the bluegrass is f(x)=x^3 what is the equation of the red graph
    6·1 answer
  • What is the equation of the line shown below? Give your answer in slope-<br> intercept form.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!