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
Lera25 [3.4K]
4 years ago
13

A sample of size 200 will be taken at random from an infinite population. given that the population proportion is 0.60, the prob

ability that the sample proportion will be greater than 0.58 is
Mathematics
1 answer:
Musya8 [376]4 years ago
4 0

Let p be the population proportion. <span>
We have p=0.60, n=200 and we are asked to find P(^p<0.58). </span>
The thumb of the rule is since n*p = 200*0.60 and n*(1-p)= 200*(1-0.60) = 80 are both at least greater than 5, then n is considered to be large and hence the sampling distribution of sample proportion-^p will follow the z standard normal distribution. Hence this sampling distribution will have the mean of all sample proportions- U^p = p = 0.60 and the standard deviation of all sample proportions- δ^p = √[p*(1-p)/n] = √[0.60*(1-0.60)/200] = √0.0012. 
So, the probability that the sample proportion is less than 0.58 
= P(^p<0.58) 
= P{[(^p-U^p)/√[p*(1-p)/n]<[(0.58-0.60)/√0... 
= P(z<-0.58) 
= P(z<0) - P(-0.58<z<0) 
= 0.5 - 0.2190 
= 0.281 
<span>So, there is 0.281 or 28.1% probability that the sample proportion is less than 0.58. </span>

You might be interested in
Complete the square to determine the minimum or maximum value of the function defined by the expression. x2 − 12x − 2
ad-work [718]

Answer:

The minimum value = -38

Step-by-step explanation:

∵ f(x) = x² - 12x - 2

∵ -12x ÷ 2 = -6x ⇒ -6 × x

∴ (x - 6)² = x² - 12x + 36

∴ Add and subtract 36 in f(x)

∴ f(x) = (x² - 12x + 36) - 36 - 2

∴ f(x) = (x - 6)² - 38 ⇒ completing square

∴ The vertex of the parabola is (6 , -38)

∵ Its minimum point because the coefficient of x² is positive

∴ The minimum value = -38

5 0
3 years ago
Two parallel lines, p and q, are cut by the transversal k as shown.
wariber [46]

Answer:

corresponding

congruent

125 degrees

vertical angles

congruent

125 degrees

equal/similar

idk can you show me the options for this one?

transitive property <em>maybe</em> (this is for the line that says "the relationship between <1 and <3 is an example of the following rule)

3 0
3 years ago
What is this please help
Olegator [25]

Answer: The answer in the blank is 2/5.

Step-by-step explanation: To divide fractions, flip the second fraction's denominator and nominator and then change the sign to a multiplication sign. Multiply. 4/5 x 3/1 = 12/5. Make 12/5 a mixed number. Since 12 can hold 2 fives, the people who created this question placed a 2 before the blank. 2/5 is remaining, so the blank is 2/5.

8 0
3 years ago
Read 2 more answers
Help me pleaseeeeeeeeeeeee
Phoenix [80]
The answer is B :))))
6 0
3 years ago
Read 2 more answers
3x - 2y = 10
natka813 [3]
3x - 2y = 10
10x + 2y = 8 (everything *2)
minus
Therefore final equation is -7x = 2 B
3 0
3 years ago
Other questions:
  • A sailboat has a mast that holds a triangular sail.The sail has a base of twelve meters and a height of nine meters. The cost of
    14·2 answers
  • What is the length of a rectangle that is the perimeter of 114 units?
    5·1 answer
  • om invests $6249 in an account that pays 4.15% interest per year for 4 years. How much simple interest will he earn? Round your
    7·1 answer
  • I need help for number 2 what is the answer
    7·1 answer
  • What times what times what equals 66
    5·2 answers
  • Put the fraction in order from least to greatest 1/2 1/4 1/3 3/4
    7·2 answers
  • Write an equivalent expression. ​-2(7+5g)
    15·2 answers
  • Help!! photo included
    15·1 answer
  • There is a bag filled with 3 blue and 4 red marbles a marble is taken at random from the bag the colour is noted and then it's r
    7·1 answer
  • In 2005 the U.S. Census Bureau reported that 68.9% of American families owned their homes. Census data reveal that the ownership
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!