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
sweet-ann [11.9K]
3 years ago
14

A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo

rtion of left-handed golfers is 8%. How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?
Mathematics
1 answer:
never [62]3 years ago
3 0

Answer:

A sample of 997 is needed.

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 z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

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

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that \pi = 0.08

98% confidence level

So \alpha = 0.02, z is the value of Z that has a p-value of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.  

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

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

0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}

0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}

\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2

n = 996.3

Rounding up:

A sample of 997 is needed.

You might be interested in
4.
DaniilM [7]
It’s gonna be 7(8+3) you use distributive property so it’ll be the same as 56+21
3 0
3 years ago
A chestnut falls out of a tree 45 feet above the ground. Use the vertical motion model, H=-16t^2+vt+s s to find how long it take
valentinak56 [21]

Answer:

1.7 seconds

Step-by-step explanation:

we have

H=-16t^2+vt+s

where

v is the initial velocity (in feet per second)

s represents the initial height (in feet)

In this problem we have

v=0 ---> because the object is dropped

s=45\ ft

substitute

H=-16t^2+45

Remember that

When the chestnut hit the ground the value of H is equal to zero

so

For H=0

-16t^2+45=0

solve for t

16t^2=45\\t^2=2.8125\\t=\pm1.7\ sec

therefore

The solution is t=1.7 sec

7 0
3 years ago
There is a hiking trail that is 2,930 feet long. There is 1 person hiking for every 10 feet of the length of the trail. Write an
katrin2010 [14]

Answer: question question for you to do a walk on a walk and jog on a walk on a field trip and jog the field of a walk on the walk in a walk on the field and jog jog the

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Three tenths times twelve
Sholpan [36]

Answer:

3.6

Step-by-step explanation:

0.3x12=3.6

Because you know that 12x3=36, so 12x0.3=3.6!

Good luck!

7 0
3 years ago
Write 59.5% as a decimal.<br> *<br> Your answer
Komok [63]

Answer:

0.0325

Step-by-step explanation:

3.25% = 3.25 over 100 or,

3.25%=3.25100

3.25 over 100 is the same as 3.25 divided by 100. Completing the division we get:

3.25 ÷ 100 = 0.0325

Therefore, we have shown that

3.25% = 0.0325

6 0
3 years ago
Other questions:
  • Kala found an icicle 26 inches long. How long is it in feet?
    15·1 answer
  • There are 200 toothpicks in a regular-size box. If a jumbo-size box is made by tripling the length, width, and height of the reg
    10·1 answer
  • Norman and Suzanne own 27 shares of a fast food restaurant stock and 63 shares of a toy company stock. At the close of the marke
    6·1 answer
  • Five friends attend a matinee movie and spend $8 per ticket. They also purchase a small bag of popcorn each. If the friends spen
    12·1 answer
  • What’s the equation for g(x)=<br><br> Please HELPPP I AM FAILING THIS
    12·1 answer
  • Halpppppp!!!!!!!!
    8·2 answers
  • The safety officers of a mining company take an SRS of 500500500 employees and finds that 15\, percent of the sampled employees
    13·1 answer
  • What is 3 billion times 0.7
    7·2 answers
  • TRUE OR FALSE. Scale factor is the ratio of the lengths of two congruent sides of two similar polygons.
    11·1 answer
  • Mia crosses a river. Please see attached photo
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!