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
Rom4ik [11]
3 years ago
11

A public health official is planning for the supplyof influenza vaccine needed for the upcoming flu season. She wants to estimat

e the proportion p who plan to get the vaccine.
How large does the sample size n need to be for X/n, the sample proportion of people who plan to get the vaccine, to have an 90% chance of lying within 0.04 of probability?
Mathematics
1 answer:
Marizza181 [45]3 years ago
5 0

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25  

And rounded up we have that n=421

Step-by-step explanation:

We know that the sample proportion have the following distribution:

\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.04 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

We assume that a prior estimation for p would be \hat p =0.5 since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25  

And rounded up we have that n=421

You might be interested in
A function, f(x)=4x+5, has a domain 0<=x<=50. What is the range? How do you do this??
babunello [35]

Step-by-step explanation:

remember the domain is the interval or set of valid input (x) values. the range is the interval or set of the valid result (y) values.

so, the given domain tells us the interval to look at.

what are the functional values of the function between 0 and 50 ?

since the function is continuous (there are no gaps) in this interval, we can safely assume that all values between f(0) and f(50) are valid y values.

f(0) = 4×0 + 5 = 5

f(50) = 4×50 + 5 = 205

so, the range is 5 <= y <= 205

3 0
2 years ago
how do you solve y=x+4 and y=-2x+1 using the subsituation method and show work and please give me the correct answer
SIZIF [17.4K]

Answer:

(-1,3)

Step-by-step explanation:

so y=x+4 and y=-2x+1

obviously, y=y

so that means that x+4 is equal to -2x+1

let's use that

y=x+4,y=-2x+1

y=y

x+4=-2x+1

x+2x=1-4

3x=-3

x=-1

y=x+4

y=(-1)+4

y=3

(-1,3)

6 0
2 years ago
A single six-sided die is rolled. Find the probability of rolling a seven
suter [353]

Answer:

0

Step-by-step explanation:

according to the mathematical encyclopedia written by Albert Einstien, if a single six sided die is rolled, the probability of rolling a seven is 0 because the dice has six sides. 1,2,3,4,5,6. NO SEVEN!!!

3 0
3 years ago
Read 2 more answers
Could someone answer this and explain an easier way to do this?
goblinko [34]

Answer:

Area of the figure = 109 cm. square

Step-by-step explanation:

The radius of the semi circle is 12 ÷ 2 = 6 cm.

Area of the semi circle = \frac{1}{2}\pi(6^{2})=18\pi

The radius of the quarter circle is 6 cm.

Area of the quarter circle = \frac{1}{4}\pi(6^{2}=9\pi

The area of the rectangle = 12 × 2 = 24

The area of the figure = 18π + 9π + 24 = 108.78 ≅ 109 cm. square

3 0
2 years ago
Please help! the question is in the attarchment!
DaniilM [7]

Answer:

1000( l + b)

Step-by-step explanation:

2(500l + 500b)

=500 (2(l+b))

=1000

8 0
3 years ago
Other questions:
  • Q²-19q+84=0<br><br>what may the answer be?(testing app with random question)
    14·1 answer
  • The graph shows the cost C in dollars of W pounds of blueberries a proportional relationship. select all the true statements
    5·1 answer
  • What is the answe to -2&lt;2x+6=12
    5·1 answer
  • A television station allows 15 minutes of advertising each hour. How many 30 second (1/2 minute) commercials can be run in 1 day
    15·1 answer
  • What’s -4-3+x-3x simplified?
    6·2 answers
  • 5. If on a scale drawing 60 miles
    10·1 answer
  • MM13 (Minute Math 13) 7th Grade Math
    7·2 answers
  • Please help. I’m lost with this.
    7·1 answer
  • Factorize:
    15·1 answer
  • Write 4 3/5<br> as an improper fraction.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!