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
ozzi
3 years ago
12

In a recent survey, 10 percent of the participants rated Pepsi as being "concerned with my health." PepsiCo's response included

a new "Smart Spot" symbol on its products that meet certain nutrition criteria, to help consumers who seek more healthful eating options.
Suppose a follow-up survey shows that 18 of 100 persons now rate Pepsi as being "concerned with my health".

Calculate the z statistic. (Round your answer to 2 decimal places.)
Mathematics
1 answer:
hichkok12 [17]3 years ago
7 0

Answer:

The statistic for this case would be given by:

z=\frac{0.18 -0.1}{\sqrt{\frac{0.1(1-0.1)}{100}}}=2.67  

Step-by-step explanation:

Infromation provided

n=100 represent the random sample selected

X=18 represent the people who rates Pepsi as being "concerned with my health"

\hat p=\frac{18}{100}=0.18 estimated proportion of people who rates Pepsi as being "concerned with my health"

p_o=0.1 is the value that reference to compare

z would represent the statistic

Hypothesis to test

For this case we can assume that the interest is check if the proportion of people who rates Pepsi as being "concerned with my health" is equal to 0.1 or not , then the system of hypothesis are:

Null hypothesis:p=0.1  

Alternative hypothesis:p \neq 0.1  

The satistic for this one sample proportion test is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.18 -0.1}{\sqrt{\frac{0.1(1-0.1)}{100}}}=2.67  

You might be interested in
How do you find the area.
serious [3.7K]
For a square and rectangle it is Area=length*width
6 0
3 years ago
Someone please help me
pentagon [3]

Answer:

Option 3 or Option 4.

Step-by-step explanation:

I have this doubt because actually, a rhombus with a right angle (one) is not necessarily a square. Some rhombuses have one right angle and are still not squares. Now, if the four angles are right, it is a square, but this only says one.

On other hand, a parallelogram with congruent diagonals isn't a square necessarily either. Rectangles have congruent diagonals and are parallelograms.

In case you only can answer with one, I'll say is option 3, hope it helps!

 

8 0
2 years ago
If $475 is put in the bank and each year the account earns 5% simple interest, then how much interest will be earned in ten year
sergiy2304 [10]
Hi there! The formula for simple interest is prt. That means multiply the principal (initial amount) by the rate (simple interest rate) by the time (could be in months or years). In this case, we multiply 475 * 5% (0.05) to get 23.75. That's $23.75 in interest each year, but we're looking for the amount earned in 10 years. To do this, multiply 23.75 by 10. When you do, you get 237.5. There. $237.50 in interest will be earned in 10 years.
7 0
3 years ago
Consider the following division of polynomials.
Bond [772]

x^4=x^2\cdot x^2. Multiplying the denominator by x^2 gives

x^2(x^2+2x+8)=x^4+2x^3+8x^2

Subtracting this from the numerator gives a remainder of

(x^4+x^3+7x^2-6x+8)-(x^4+2x^3+8x^2)=-x^3-x^2-6x+8

-x^3=-x\cdot x^2. Multiplying the denominator by -x gives

-x(x^2+2x+8)=-x^3-2x^2-8x

and subtracting this from the previous remainder gives a new remainder of

(-x^3-x^2-6x+8)-(-x^3-2x^2-8x)=x^2+2x+8

This last remainder is exactly the same as the denominator, so x^2+2x+8 divides through it exactly and leaves us with 1.

What we showed here is that

\dfrac{x^4+x^3+7x^2-6x+8}{x^2+2x+8}=x^2-\dfrac{x^3+x^2+6x-8}{x^2+2x+8}

=x^2-x+\dfrac{x^2+2x+8}{x^2+2x+8}

=x^2-x+1

and this last expression is the quotient.

To verify this solution, we can simply multiply this by the original denominator:

(x^2+2x+8)(x^2-x+1)=x^2(x^2-x+1)+2x(x^2-x+1)+8(x^2-x+1)

=(x^4-x^3+x^2)+(2x^3-2x^2+2x)+(8x^2-8x+8)

=x^4+x^3+7x^2-6x+8

which matches the original numerator.

3 0
3 years ago
Read 2 more answers
Can someone help me please
AfilCa [17]

18 are comedies

27 are action adventures

<em><u>27 is the answer</u></em>

3 0
3 years ago
Other questions:
  • Which best describes the range of the function f(x) = 2(1/4) after it has been reflected over the y-axis? all real numbers all r
    9·2 answers
  • In one day's work at the nursery, sale and mary together potted 74 plants. If dale planted 48 of those plants how many did mary
    12·2 answers
  • one fabric costs $15.00 for two yards. Another costs $37.50 for 5 yards. Do these fabrics have the same unit cost? explain
    9·1 answer
  • Help me ASAP please
    6·2 answers
  • Simply (6x -2) 2 (0.5) 4
    7·1 answer
  • What is the surface area of a cube whose sides are 12 inches?
    12·1 answer
  • What is quadratic inequality
    14·2 answers
  • Acrylic spheres with diameters of 24 cm are used to make award trophies. How much acrylic is needed to make 15 trophies? Use 3.1
    15·1 answer
  • PLEASE I WILL GIVE EXTRA POINTS AND BRAINLIEST I PROMIS!!!!!!! I AM DESPERATE PLEASE I AM BEGGING YOU!!!!!!!!!!!!!!!!!!!!!!!
    11·1 answer
  • For iready . Explain if you can
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!