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
harkovskaia [24]
3 years ago
5

Because library books are read many times, glue is often applied to the spine of a book to keep the pages tight. A glue is consi

dered successful if a book lasts at least 6 months before needing to be reglued. Two brands of glue, G and K, were tested to determine whether there was a difference in the proportion of books lasting at least 6 months. Let pG represent the proportion of books lasting at least 6 months when glued with G, and let pK represent the proportion of books lasting at least 6 months when glued with K. The following hypothesis test was conducted at the significance level of α=0.01
H0: pG= pK
Ha: pG≠pK

All conditions for inference were met, and the resulting p-value was 0.006. Which of the following is the correct decision for the test?

a. The p-value is less than α, and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of books lasting at least 6 months when glued with G is different from the proportion of books lasting at least 6 months when glued with K.
b. The p-value is less than α , and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of books lasting at least 6 months when glued with G is different from the proportion of books lasting at least 6 months when glued with K.
c. The p-value is less than α, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of books lasting at least 6 months when glued with G is different from the proportion of books lasting at least 6 months when glued with K.
d. The p-value is greater than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of books lasting at least 6 months when glued with G is different from the proportion of books lasting at least 6 months when glued with K.
e. The p-value is greater than α, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of books lasting at least 6 months when glued with G is different from the proportion of books lasting at least 6 months when glued with K.
Mathematics
2 answers:
leonid [27]3 years ago
7 0

Answer:

B) The  p -value is less than  α , and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of books lasting at least 6 months when glued with G is different from the proportion of books lasting at least 6 months when glued with K.

Step-by-step explanation:

Since 0.006<0.01, the null hypothesis is rejected. There is convincing statistical evidence that the proportion of books lasting at least 6 months when glued with G is different from the proportion of books lasting at least 6 months when glued with K.

Kipish [7]3 years ago
6 0

Answer:

a. The p-value is less than α, and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of books lasting at least 6 months when glued with G is different from the proportion of books lasting at least 6 months when glued with K.

Step-by-step explanation:

It is given that the library books are often glued for keeping the pages stick and intake. A glue is considered successful if it is able to make the pages of the book intake for at least six months.

It is given that the value of α is = 0.01

and the value of p is = 0.006

Thus when the p-value is less than the value of α, it results in the null hypothesis to get  rejected. And there is no convincing support claim that the proportion of the books glued with G lasted for 6 months is different from the proportion of the books that lasted for 6 months when it is glued with K brand.

You might be interested in
What does 5 gallons equal ___ Quarts
slamgirl [31]
20 quarts = 5 gallons
7 0
3 years ago
Read 2 more answers
If α and β are the zeros of the quadratic polynomial f(x) = 3x2–4x + 5, find a polynomialwhose zeros are 2α + 3β and 3α + 2β.
Lelechka [254]

Answer:

\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }

Step-by-step explanation:

Hello,

a and b are the zeros, we can say that

f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)

So we can say that

a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b

for instance we can write

(x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab

and we can notice that

a^2+b^2=(a+b)^2-2ab so

(x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab

it comes

x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}

multiply by 3

3x^2-20x+2*16+5=3x^2-20x+37

4 0
3 years ago
How many inches are in 15 feet ?
Kay [80]
180................................................................................
6 0
3 years ago
Read 2 more answers
Number 6. 1 moreee im stuck helpp
Andreyy89
B. V = (26.6)(4.6)
26.6 = l * w
7 0
2 years ago
Read 2 more answers
David rode his bicycle for 6 hours and jogged for 8 hours during the
AnnyKZ [126]
72 hours I hope this helps
8 0
3 years ago
Read 2 more answers
Other questions:
  • A dog groomer is offering 20% off a full groom for one dog, and 15% off for each additional dog. You decide to take your two fur
    9·1 answer
  • Find the area of the parallelogram shown.
    11·2 answers
  • Please answer it now
    8·2 answers
  • The aspect ratio is used when calculating the aerodynamic efficiency of the wing of a plane. For a standard wing area, the
    13·2 answers
  • A roller coaster train with 6 passenger cars and the front decoration has a mass of 3,500 kg. When the train has
    9·1 answer
  • Enter the amplitude of the function f(x) . f(x)=3/4cos(3x)+4
    14·2 answers
  • Please help asap ty alot mann
    14·2 answers
  • The Wagner school store is having a sale! At the sale this week, a life sized stuffed animal of Wagner’s mascot is being sold fo
    10·1 answer
  • Help me out with this
    13·2 answers
  • The question is attached.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!