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
cluponka [151]
3 years ago
15

Suppose 56V% of politicians are lawyers. If a random sample of size 787787 is selected, what is the probability that the proport

ion of politicians who are lawyers will differ from the total politicians proportion by greater than 4%4%
Mathematics
1 answer:
Neporo4naja [7]3 years ago
8 0

Answer: 0.0238

Step-by-step explanation:

Given : Proportion of politicians are lawyers: p= 0.56

Sample size : n= 787

Let \hat{p} be th sample proportion.

The the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by greater than 4% will be :-

P(|\hat{p}-0.56|>0.04)=P(-0.04>\hat{p}-0.56>0.04)=\\\\ P(-0.04+0.56>\hat{p}>0.04+0.56)\\\\=P(0.52>\hat{p}>0.60)\\\\=P(\dfrac{0.52-0.56}{\sqrt{\dfrac{0.56(1-0.56)}{787}}}>\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.60-0.56}{\sqrt{\dfrac{0.56(1-0.56)}{787}}})\\\\=P(-2.26>z>2.26)\ \ \ [Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]\\\\=1-P(-2.26

Hence, the required probability = 0.0238

You might be interested in
If 1 is 3 and 2 is 3 and 3 is 5 what is 4 # riddles
Helga [31]

Answer:

4 is 5

Hope it's right :))

7 0
3 years ago
What is the remainder of 6728 divided by 70
yanalaym [24]
The remainder of 6728 divided by 70 is 8, This is because when 6728 is divided by 70, 70 goes into 6728, 96 times evenly. And there is only 8 left.
3 0
3 years ago
Which expression is equivalent to 33.63. 23 without exponents?
ehidna [41]
Yeah, what they said.
3 0
3 years ago
3) A truck has 673 boxes of candies. Each box has a dozen candies in it. What is the total number of
jenyasd209 [6]

Answer:

8076 candies is the total number of candies on the truck

Step-by-step explanation:

  • Each box has a dozen candies in it means 1 box contains 12 candies.

If 1 box has 12 candies.

then 673 boxes shall have ( 673 * 12 ) = 8076 candies.

8 0
2 years ago
-5x + (-2) = -2x + 4.<br> Find x
joja [24]

Answer:

x= -2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • The equation b=540−30m gives the balance b (in dollars) that you owe on a drum set after m monthly payments. What is the balance
    6·2 answers
  • Rita has a loan of 45,580.This has a simple interest of 4% per year.What is the amount of interest that Rita will be chagrined o
    5·2 answers
  • Combining Like Terms: (Simplify the following.)<br><br> (x - 5) ( -2) + 11x
    14·1 answer
  • Given the sets A = {7, 11, 14, 17, 21} and B = {0, 11, 15, 17, 34}, the set A∩B is given by:
    9·1 answer
  • According to a recent survey, 50% of people aged 13 and older in the United States are addicted to texting. To simulate choosing
    12·1 answer
  • Find the weight in pounds of a 140-kilogram person. Round to the nearest hundredth​
    7·1 answer
  • Calculate the surface area and show work :) please help me no links!!
    6·1 answer
  • Multi step equations
    9·1 answer
  • What is 37 1/4 x 24 help me
    12·1 answer
  • 9x9/16+12 whats the answer
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!