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
Hoochie [10]
3 years ago
15

A supplier of 3.5" disks claims that no more than 1% of the disks are defective. In a randomsample of 600 disks, it is found tha

t 3% are defective, but the supplier claims that this isonly a sample fluctuation. At the 0.01 level of significance, do the data provide sufficientevidence that the percentage of defects exceeds 1%
Mathematics
1 answer:
olga55 [171]3 years ago
4 0

Answer:

At a significance level of 0.01, there is enough evidence to support the claim that the percentage of defective disks exceeds 1%.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the percentage of defective disks exceeds 1%.

Then, the null and alternative hypothesis are:

H_0: \pi=0.01\\\\H_a:\pi>0.01

The significance level is 0.01.

The sample has a size n=600.

The sample proportion is p=0.03.

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.01*0.99}{600}}\\\\\\ \sigma_p=\sqrt{0.000017}=0.004

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.03-0.01-0.5/600}{0.004}=\dfrac{0.019}{0.004}=4.719

This test is a right-tailed test, so the P-value for this test is calculated as:

P-value=P(z>4.719)=0.000001

As the P-value (0.000001) is smaller than the significance level (0.01), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the percentage of defective disks exceeds 1%.

You might be interested in
Plz need this asap ONLY ANSWER IF YOU KNOW IT will give brainliest
Natalija [7]

Answer:

<u>1</u> would be your y axis

Step-by-step explanation:

1. so the y axis is up and down

2. the x axis is horizontal side to side

3. the x axis is 0

4. the y axis is positive 1

5. So your anwser would be in the format (x,y)

6. It is (0,<u>1</u>)

7. It is positive

8. Plz name me brainliest I would really appreciate it if you need more help just ask me

Thank You

8 0
2 years ago
Which expressions have a value of -64? Check all that apply. NEED HELP ASAP PLSSS!!!
ziro4ka [17]

Answer: -(1/4)^3

Step-by-step explanation:

Equals -1/64 which is -64

6 0
2 years ago
A line has a rise of 3 and a run of 12. What is the slope?<br><br> 1/3<br> 1/4<br> 4
AnnyKZ [126]
Slope = rise/run
slope = 3/12
slope = 1/4
answer is
<span>1/4</span>
4 0
3 years ago
Read 2 more answers
two crates contain Apple's, pears and oranges. there are 184 apples and pears in crate one and 248 apples and oranges in the sec
netineya [11]

184 + 248 \div 3 =

6 0
3 years ago
Which numbers are a distance of 4 units from 7 on the number line
Vikentia [17]
7+4=11
7-4=3
so 3 and 11
7 0
3 years ago
Read 2 more answers
Other questions:
  • Please help- 15 points !!
    5·1 answer
  • For the entire city of Athens, the average income is $33,060, and 37.8% of the residents are below the poverty line. A local res
    11·1 answer
  • Find the least common multiple for this number pair. 4, 24​
    5·1 answer
  • Which is greater 17/20 or 22/25
    11·1 answer
  • Hey Guys . . . I need help again.
    8·2 answers
  • Dennis deposits $6,000 in an account that earns 5.5%simple interest. How long will it take before the total amount is $8,000?
    8·1 answer
  • Please helppp!! i will give you brainliest, helpp!!
    9·1 answer
  • Someone please help a) Solve the problem correctly by completing the square.
    14·2 answers
  • When 3 + 3x - 5 - 8x is simplified, the result is:
    5·1 answer
  • Can someone help me with this problem? <br> a + (b + 12) = (b + 12) + a
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!