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
Flura [38]
3 years ago
15

If a manufacturer conducted a survey among randomly selected target market households and wanted to be 95​% confident that the d

ifference between the sample estimate and the actual market share for its new product was no more than 9​%, what sample size would be​ needed?
Mathematics
1 answer:
katen-ka-za [31]3 years ago
6 0

Answer:

We need a sample size of least 119

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Sample size needed

At least n, in which n is found when M = 0.09

We don't know the proportion, so we use \pi = 0.5, which is when we would need the largest sample size.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.09 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.09\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.09}

(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.09})^{2}

n = 118.6

Rounding up

We need a sample size of least 119

You might be interested in
(02.02 MC)
hoa [83]

So for the rhombus to carry onto itself, it needs to start in one position and end up in that same position. In this case, (x,y) will need to end up on (x,y) after the reflections are done. Here what the options do:

A: y-axis, x-axis, y-axis

(x,y) -> (-x,y) -> (-x,-y) -> (x,-y)

B: x-axis, y-axis, y-axis

(x,y) -> (x,-y) -> (-x,-y) -> (x,-y)

C: y=x, x-axis, y=x, y-axis

(x,y) -> (y,x) -> (y,-x) -> (-x,y) -> (x,y)

D: x-axis, y=x, x-axis, y=x

(x,y) -> (x,-y) -> (-y,x) -> (-y,-x) -> (-x,-y)

The only option that starts as (x,y) and ends as (x,y) is C: y=x, x-axis, y=x, y-axis, therefore making that the correct answer.

3 0
3 years ago
If John read 8 pages in 10 minutes, how many pages can he read in 70<br> minutes?
loris [4]

Answer:

56 pages

Step-by-step explanation:

7 0
3 years ago
Graph a line that contains the point -6,1 and has a slope of 5
Stells [14]

Answer:

y=5x+31

Step-by-step explanation:

y=mx+b

1=(-6*5)+b

1=-30+b

31=b

y=5x+31

(5*-6)+31

-30+31

1

you can also graph a line on desmos

7 0
3 years ago
Read 2 more answers
Find the missing length
olga55 [171]

Answer:

θ ≈ 36.03°

Step-by-step explanation:

We can use tangent (opposite side / adjacent side) for this question:

tan (θ) = 8 / 11

θ = tan⁻¹ (8/11)

θ = 36.02737339

θ ≈ 36.03°

4 0
2 years ago
A man has 1020304 eggs some of the eggs were spoiled he divided remaining eggs equally among 348 people how many eggs were spoil
beks73 [17]

Answer:

316 eggs were spoiled.

Step-by-step explanation:

1020304 / 348 = 2931 remainder 316.

6 0
3 years ago
Other questions:
  • You found a job that pays $15$ per hour. After working for one year, you will get a 4% raise. What will be your new pay rate aft
    13·1 answer
  • Hi can someone plz help me with letter A and if u know how to do any of the other ones!? Thanks sm!!!
    10·1 answer
  • a number, half of that number, and one-third of that number are added. The result is 22. What is the original number
    15·1 answer
  • How do you factor trinomials?
    8·1 answer
  • What is the numerator of the simplified sum?<br> x/x^2 +3x+2 + 3/x+1
    15·1 answer
  • A student who is interested in architecture and construction is taking a personal assessment. Which portions of a personal asses
    10·1 answer
  • If $5000 is invested at an interest rate of 3.396 compounded monthly for 10 years, what would be the balance in the account
    11·1 answer
  • Percent
    7·1 answer
  • Find the perimeter and the area of the polygon with the given vertices. A (12,2) B (12,13) C (15,13) D (15,2)
    7·1 answer
  • I WILL GIVE BRIANLISTSActivity Thinking About Circles Around You Do this activity together to investigate circles in the real wo
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!