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
Naddika [18.5K]
3 years ago
6

According to a study conducted by the Gallup Organization, the the proportion of Americans who are afraid to fly is 0.10. A rand

om sample of 1100 Americans results in 121 {0.11} indicating that they are afraid to fly. What is the probability that the sample proportion is more than 0.11
Mathematics
1 answer:
notsponge [240]3 years ago
3 0

Answer: 0.1457

Step-by-step explanation:

Let p be the population proportion.

Given: The proportion of Americans who are afraid to fly is 0.10.

i.e. p= 0.10

Sample size : n= 1100

Sample proportion of Americans who are afraid to fly =\hat{p}=\dfrac{121}{1100}=0.11

We assume that the population is normally distributed

Now, the probability that the sample proportion is more than 0.11:

P(\hat{p}>0.11)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.11-0.10}{\sqrt{\dfrac{0.10(0.90)}{1100}}})\\\\=P(z>\dfrac{0.01}{0.0090453})\ \ \ [\because z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}} ]\\\\=P(z>1.1055)\\\\=1-P(z\leq1.055)\\\\=1-0.8543=0.1457\ \ \ [\text{using z-table}]

Hence, the probability that the sample proportion is more than 0.11 = 0.1457

You might be interested in
Choose the property that justifies the following statement. If x = 2 and x + y = 3, then 2 + y = 3.
user100 [1]

  .................................

4 0
3 years ago
Quadrilateral ABCD is inscribed in circle 0 What is m<A
valentinak56 [21]
We know that
 A quadrilateral is inscribed in a circle if and only if the opposite angles are supplementary. ( Inscribed Quadrilateral Theorem)
so
m∠B+m∠D=180°
2x+(3x-5)=180
5x=180+5
5x=185
x=185/5
x=37°

m∠A=x+5-----> 37+5------> 42°

the answer is
m∠A is 42°

6 0
3 years ago
Find the surface area of the figure below. Round to the nearest tenth if necessary.​
Contact [7]

Answer:

173.4 cm^2

Step-by-step explanation:

Surface area of the cone=pi*r*l+pi*r^2=pi*(4)*(9.8+4)=173.4 cm^2

6 0
2 years ago
Plss show the work<br> –4z + 8 = –2z
IceJOKER [234]

Answer:

z=-4/3

Step-by-step explanation:

8=-6z

z=-8/6

z=-4/3

4 0
2 years ago
Find three consecutive integers such that the product of the first and third is 5 greater than 5 times the second.
ivolga24 [154]

Answer:

Step-by-step explanation:

3 consecutive integers....

1st integer = x

2nd integer = x + 1

3rd integer = x + 2

the product of 1st and 3rd is 5 greater then 5 times the 2nd...

x(x+2) = 5(x + 1) + 5

x^2 + 2x = 5x + 5 + 5

x^2 + 2x = 5x + 10

x^2 + 2x - 5x - 10 = 0

x^2 - 3x - 10 = 0

(x - 5)(x + 2) = 0

x - 5 = 0             x + 2 = 0

x = 5                   x = -2

so it will be : 5,6,and 7     or -2,-1, and 0

6 0
3 years ago
Other questions:
  • Please please help! Find the area of the shaded sector. Leave your answer in terms of pi.
    12·2 answers
  • Length of your thumb metric system
    11·1 answer
  • PLEASE HELP ASAP!!!!
    10·2 answers
  • What is 5,100,000 in scientific notation?
    13·2 answers
  • If I have 6 DNA nucelotides, how many DNA bases do I have?
    11·1 answer
  • EXIT TICKET
    10·1 answer
  • 2y = x + 9<br> x + y = -3<br><br> 1) (-5,2)<br><br> 2) -5<br><br> 3) (2,-5)<br><br> 4) 2
    15·2 answers
  • If Sara can only work 5% of one hour now many minutes of one hour can Sara work?
    6·1 answer
  • Jaden'sretirementpartycosts
    7·2 answers
  • Put the puzzle together by solving Last week, Alina walked 1.7 miles on Saturday and 2.56 miles on Sunday. How many miles did sh
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!