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
cestrela7 [59]
3 years ago
8

A television sports commentator wants to estimate the proportion of citizens who​ "follow professional​ football." ​

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
8 0

Answer: a)2206  b) 2209

Step-by-step explanation:

Formula to find the sample size :

a) If prior population proportion (p) is known.

n=p(1-p)(\dfrac{z_{c}}{E})^2

b) If prior population proportion (p) is unknown.

n=0.25(\dfrac{z_{c}}{E})^2

where, {z_{c} is the z-value associated with confidence level and E would be the margin of error .

Solution : Let p be the proportion of citizens who​ "follow professional​ football."

a) Given : p=0.48

Margin of error : E= 0.02

z-value for 94% confidence = z_c=1.88

Required sample size would be :

n=p(1-p)(\dfrac{z_{c}}{E})^2

\Rightarrow\ n=0.48(1-0.48)(\dfrac{1.88}{0.02})^2

Simply ,

n=2205.4656\approx2206  [Rounded to the next whole number.]

∴ The sample size is <u>2206</u>.

b) Proportion of citizens who​ "follow professional​ football" is unknown.

Margin of error : E= 0.02

z-value for 94% confidence = z_c=1.88

Required sample size would be :

n=0.25(\dfrac{z_{c}}{E})^2

\Rightarrow\ n=0.25(\dfrac{1.88}{0.02})^2

Simply ,

n=2209  

∴ The sample size is <u>2209</u>.

You might be interested in
Find the slope of the line containing the pair of points. ​(​7,​4) and ​(6​,-9​)
lesya [120]

Answer:

13

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

   = ( -9-4)/(6-7)

   = -13/-1

  = 13

3 0
2 years ago
Read 2 more answers
Help please!!!!!!!!!!!!
Nady [450]

Answer:

Step-by-step explanation:

a. 1 & 2

b. 3 & 5

c. 2/15

d. 2/5 x 5/3

e. 10/15= 2/3

8 0
3 years ago
Q1 a) Kamahi invests some money which earns compound interest every year. His investment
gulaghasi [49]

Answer: 2=2

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
F(x) =2^x−4<br> g(x) = 5/x<br><br> evaluate g(f(2))=
Afina-wow [57]

Answer:

not possible

Step-by-step explanation:

f(2)=2^2-4=0

g(f(2))=5/0 it's not possible

8 0
2 years ago
What is the slope indicated in the table below?
Mila [183]

Answer:

it goes up (x) goes by 5 and (y) by 7

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Select one: <br> A. Supplementary<br> B. Vertical<br> C. Complementary<br> D. Acute
    6·1 answer
  • Jayanta is raising money for the? homeless, and discovers each church group requires 2 hr of letter writing and 1 hr of? follow-
    8·1 answer
  • PLZZ I REALLY NEED SOME HELP
    9·1 answer
  • The Brady &amp; Matthew Camera Company has just come out with their newest professional quality digital camera, the ToughPix1. T
    10·1 answer
  • 9)
    11·1 answer
  • N/2 + 0.6 =2<br> PLS HELP
    5·1 answer
  • Find the value of x.​
    8·1 answer
  • What's the sum of 1,015 and 119​
    15·1 answer
  • The price of an item has dropped to $34 today. Yesterday it was $40. Find the percentage decrease.
    9·1 answer
  • Find the 98th term of the arithmetic sequence 8, 24, 40, ...8,24,40,...
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!