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
Alekssandra [29.7K]
3 years ago
9

A person recently read that 84% of cat owners are women. How large a sample should the researcher take if she wishes to be 90% c

onfident that her proportion is within 3% of the true population proportion?
Mathematics
1 answer:
Lana71 [14]3 years ago
6 0

Answer:

405

Step-by-step explanation:

To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.

n=\frac{(z_{\frac{\alpha }{2} })^{2} *p*q  }{E^2}

The values that are given are p = 0.84 and E = 0.03.

You can solve for the critical value which is equal to the z-score of  (1 - confidence level)/2.  Use the calculator function of invNorm to find the z-score.  The value will given with a negative sign, but you can ignore that.

(1 - 0.9) = 0.1/2 = 0.05

invNorm(0.05, 0, 1) = 1.645

You can also solve for q which is 1 - p.  For this problem q = 1 - 0.84 = 0.16

Plug the values into the equation and solve for n.

n =\frac{(1.645)^2*0.84*0.16}{(0.03)^2}\\n= 404.0997333

Round up to the next number, giving you 405.

You might be interested in
Angles T and V are complementary.Angle T has a measure of (2x+10) Angle V has a measure of 48 what is the value of x
never [62]
The answer is x=16

complimentary means that when the measures of both angles are added together they equal 90 degrees. To get the answer you subtract 48 from 90 and get 42. Then you subtract 10 from 42 because it is added in the parentheses. Then you divide 32 by 2 and you get your answer which is 16.
3 0
3 years ago
a hawk soars at an altitude of 1,800ft. if the awk descends to the ground in 45 min, what is its vertical speed?
Verizon [17]
Does it come with any anwsers
4 0
3 years ago
Which set of ordered pairs does not represent a function? part 2
Tom [10]
Answer: the third option, you can’t have two of the same input.
3 0
2 years ago
Read 2 more answers
Jacob earned $370 walking dogs over the summer. He put 30% of what he earned into his savings account.
Verdich [7]


I don't think I need to explain it, the answer is $111

8 0
2 years ago
Read 2 more answers
Which is greater -5 or -7
Natasha_Volkova [10]
-5 I believe so idk...
5 0
3 years ago
Read 2 more answers
Other questions:
  • Twice the opposite of a number is increased by 5 and this sum is multiplied by 2. The result is 22 greater than the number. What
    14·1 answer
  • Paul has $75 in his wallet. He worked 8 hours at the theater and earned $8.50 per hour. He spent $72.50 in a pair of soccer Clai
    8·1 answer
  • Given: f(x) = x2 and g(x) = 2x +1, find f(g(x)].<br> 4x² + 4x + 1<br> 4x² + 1<br> 2x²+1
    9·2 answers
  • How do you solve an equation like this <br> 2+x=16-3+4
    8·1 answer
  • Find X to the nearest tenth.<br>A) 9.3<br>B) 9.4<br>C) 9.5
    7·2 answers
  • Let p: A number is greater than 25.
    14·1 answer
  • Fernando has $10 to buy snacks for his friends at the baseball game. A
    10·1 answer
  • 1,275÷588 rounded pls i need some help​
    13·1 answer
  • (
    14·1 answer
  • find an approximate equation of the line that has the given slope and contains the given point. m=2.9,(3,3-5.1)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!