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
sladkih [1.3K]
3 years ago
6

A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true

proportion is 0.070.07. If 492492 are sampled, what is the probability that the sample proportion will differ from the population proportion by greater than 0.030.03?
Mathematics
1 answer:
zloy xaker [14]3 years ago
5 0

Answer:

The probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.009.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 \mu_{\hat p}=p

The standard deviation of this sampling distribution of sample proportion is:

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

As the sample size is large, i.e. <em>n</em> = 492 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by the normal distribution.

The mean and standard deviation of the sampling distribution of sample proportion are:

\mu_{\hat p}=p=0.07\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.07(1-0.07)}{492}}=0.012

Compute the probability that the sample proportion will differ from the population proportion by greater than 0.03 as follows:

P(|\hat p-p|>0.03)=P(|\frac{\hat p-p}{\sigma_{\hat p}}|>\frac{0.03}{0.012})

                           =P(|Z|>2.61)\\\\=1-P(|Z|\leq 2.61)\\\\=1-P(-2.61\leq Z\leq 2.61)\\\\=1-[P(Z\leq 2.61)-P(Z\leq -2.61)]\\\\=1-0.9955+0.0045\\\\=0.0090

Thus, the probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.009.

You might be interested in
Help me please just help I need help rn like rn
alexgriva [62]

Answer:

i.900

j.6

k.8

l.0

Step-by-step explanation:

hope this helps you ;)

6 0
3 years ago
In your lab, a substance's temperature has been observed to follow the function T(x) = (x + 5)3 + 7. The turning point of the gr
kompoz [17]
A turning point occurs when the velocity is equal to zero, but the acceleration is not equal to zero. 

t(x)=(x+5)^3+7

dt/dx=3(x+5)^2

d2t/dx2=6(x-5)

dt/dx=0 only when x=-5

However, since d2t/dx2(-5)=0, this point is an inflection point, not a turning point.

So there is no turning point for this function.

Now in this problem, it is even easier than the above to show that there is no turning point.  A turning point by definition is when the derivative or velocity changes sign.  Since in this case v=3(x+5)^2, for any value of x, v≥0, and thus never becomes negative, so it never changes from a positive to negative velocity because velocity in this instance is a squared function.


8 0
3 years ago
Why is a stick of gum like a sneeze
patriot [66]

why?

ωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωω

7 0
3 years ago
Someone will.be nice to plz help.me with this online math quiz plz
liq [111]
The answer is Orlando
5 0
3 years ago
Read 2 more answers
What is the result of substituting for yin the bottom equation? y=x+3 y= x^2 + 2x - 4​
marta [7]

Answer:

  x +3 = x^2 +2x -4

Step-by-step explanation:

Straight substitution of the top expression for y gives you ...

  x +3 = x^2 +2x -4

__

This lets you rewrite the equation to standard form as ...

  x^2 +x -7 = 0

and find the solutions to be ...

  x = (-1±√29)/2

Corresponding y-values will be 3 more than this:

  y = (5±√29)/2

4 0
3 years ago
Other questions:
  • Help Math All the Points i have
    8·1 answer
  • PLZZZZZZZZZ HELP!!!!!!!!!!
    12·1 answer
  • After how many weeks will they have the same amount of money ? (picture attached)
    12·1 answer
  • A medical researcher is working on a new treatment for a certain type of cancer. The average survival time after diagnosis on th
    5·1 answer
  • 2 tens 3 tenths 1 thousandths greater or less than 20.31
    9·1 answer
  • Which of the following shows the Commutative Property of Multiplication?
    10·1 answer
  • A construction company built a scale model of a new building. the model was built usinga scale of 3 inches= 32 feet. if the buil
    14·1 answer
  • Which represents the value of Point on the number line?
    5·1 answer
  • Tom bought a banner for
    13·2 answers
  • 12(3+m) <br> A.36m<br> B.36+m<br> C.36+12m<br> D.3m+12m<br> PLEASSSSEEE HELP ASAP 15
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!