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
shepuryov [24]
3 years ago
15

A gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than

work for someone else. A random sample of 600 18-29 year-olds is obtained today. What is the probability that no more than 70% would prefer to start their own business?
Mathematics
1 answer:
Neko [114]3 years ago
3 0

Answer:

The probability that no more than 70% would prefer to start their own business is 0.1423.

Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let \hat p = <u><em>sample proportion of people who prefer to start their own business</em></u>

The z-score probability distribution for the sample proportion is given by;

                               Z  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, p = population proportion who would prefer to start their own business = 72%

            n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( \hat p \leq 70%)

       P( \hat p \leq 70%) = P( \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } \leq \frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } } ) = P(Z \leq -1.07) = 1 - P(Z < 1.07)

                                                                       = 1 - 0.8577 = <u>0.1423</u>

The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

You might be interested in
Help need it done for tomorrow ​
Gelneren [198K]

Step-by-step explanation:

the law of sines :

a/sin(A) = b/sin(B) = c/sin(C)

with the sides being opposite to the angles.

so,

14/sin(80) = x/sin(60)

x = 14×sin(60)/sin(80) ≈ 12.3cm

4 0
2 years ago
Some help with the circle problem would be much aprecated.
Oksana_A [137]
Try this solution:
for the circle A: circumference=6π, area=9π
for the circle B: circumference=12π, area=36π

PS. formula for circumference is 'L=2πr', for area is 'S=πr²'.
8 0
3 years ago
In a card game, a player earns -5 points for each red card drawn. If the player has a score of -20, how many red cards has the p
Margaret [11]

Answer:

4

Step-by-step explanation:

-20/-5=4

7 0
3 years ago
Read 2 more answers
What is the first step in proving that the sum of the measures of triangle XYZ is 180 degrees?
mylen [45]
In geometry, the definition of a triangle is a two-dimensional closed figure with three sides. Aside from this, it is proven that the sum of the angles of a triangle is 180°. This is a triangle's innate property. Therefore, any closed shape with three sides is a triangle and it follows that the sum of the three angles is equal to 180°.

It is logical therefore, that the first step in proving this is by using the definition of a triangle.
6 0
3 years ago
To train for a bike race, Sandi rode her bike a total of 16 miles each day. Brian was training for the same race, but only rode
MaRussiya [10]
So the first thing you're gonna wanna know is how many miles Brian is riding per day so
16/2= 8

Then you'll want to do the following steps

16 × 5 = 80

8 × 5 = 40


80-40 = 40

Sandi rode 40 more miles then Brian in five days

Hope this helped!
3 0
3 years ago
Other questions:
  • 46.2 × 10–2 = A. 0.0462 B. 0.462 C. 4.62 D. 462
    5·2 answers
  • Divide 254 by 11.8. round your answer to the nearest hundredth.
    11·2 answers
  • Irrational numbers are _____ integers.
    11·1 answer
  • Area of shaded region rectangle and semicircle
    14·1 answer
  • What is the angle measure for angles with 110 degrees and 2x degrees. What is the missing angle measure.
    14·1 answer
  • Four teachers share 3 gallons of paint equally. How much paint does each teacher get
    11·2 answers
  • One of the tables shows a proportional relationship. Graph the line representing the proportional relationship from this table i
    14·2 answers
  • (Unicamp-SP) Em uma agência bancária 5 caixas atendem os clientes em fila única. Suponha que um atendimento de cada cliente demo
    13·1 answer
  • Change both fractions to improper fractions. Then, do KCF.<br><br> I NEED HELP
    5·1 answer
  • Lesson 10.2 area of composite figures worksheet assigment
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!