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
Vinil7 [7]
2 years ago
8

A manufacturer of nails claims that only 4% of its nails are defective. A random sample of 20 nails is selected, and it is found

that two of them, 10%, are defective. Is it fair to reject the manufacturer's claim based on this observation?
Mathematics
2 answers:
irakobra [83]2 years ago
7 0

Answer:

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

Step-by-step explanation:

A manufacturer of nails claims that only 4% of its nails are defective.

At the null hypothesis, we test if the proportion is of 4%, that is:

H_0: p = 0.04

At the alternative hypothesis, we test if the proportion is more than 4%, that is:

H_a: p > 0.04

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

4% is tested at the null hypothesis

This means that \mu = 0.04, \sigma = \sqrt{0.04*0.96}

A random sample of 20 nails is selected, and it is found that two of them, 10%, are defective.

This means that n = 20, X = 0.1

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.1 - 0.04}{\frac{\sqrt{0.04*0.96}}{\sqrt{20}}}

z = 1.37

P-value of the test and decision:

Considering an standard significance level of 0.05.

The p-value of the test is the probability of finding a sample proportion above 0.1, which is 1 subtracted by the p-value of z = 1.37.

Looking at the z-table, z = 1.37 has a p-value of 0.9147

1 - 0.9147 = 0.0853

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

stich3 [128]2 years ago
6 0

Answer:

Considering an standard significance level of 0.05.

The p-value of the test is the probability of finding a sample proportion above 0.1, which is 1 subtracted by the p-value of z = 1.37.

Looking at the z-table, z = 1.37 has a p-value of 0.9147

1 - 0.9147 = 0.0853

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

Step-by-step explanation:

You might be interested in
12 1/2 - (-4 1/2) =​
puteri [66]

Answer: the answer here is 8

Step-by-step explanation:

just lay it out up to down, divide annnnnd SHABLAM you got the answer :)

3 0
2 years ago
Y=2x+1 when x increases by 5,y increases by​
Dmitriy789 [7]

Answer:

10

Step-by-step explanation:

say x=0

then y would be 1

increasing x by 5 makes x=5

and then 5 x 2 + 1=11

so y went from 1-11(difference of 10) with the variation

so the answer is 10

3 0
1 year ago
Please help me please!!!!!!
amm1812
The answer is D. I graphed it on Desmos Graphing Calculator and I've linked the screenshot.

Hope this helps :)

7 0
3 years ago
HELP ME PLEASE ASAPPPPPP ASAPPP
Lady bird [3.3K]

Answer:

65.63 cm or 65 5/8 cm

Step-by-step explanation:

volume of  a rectangular prism = whl

w= 7 1/2

h = 2 1/2

l = 3 1/2

w x h x l

6 0
2 years ago
8x + y = 20<br> x - 2y = -6
OleMash [197]

Answer: the answer is

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Solve: 12^x2+5x-4 = 12^2x+6<br> x=2<br>x = -5<br>x=2x=-5<br>no solution​
    6·1 answer
  • The number of bacteria (b) in a batch of refrigerated food is given by the function b(t) = 20t2 − 70t + 300, where t is the temp
    11·1 answer
  • WILL MARK BRAINLIEST!! PLEASE BE QUICK!!
    14·2 answers
  • For which of the following values of x does f(x) = -16?<br> -16<br> 12<br> 0<br> 8
    12·1 answer
  • URGENT : What is the value of the expression (1 - 2) - (3 - 4) - (5 - 6) - etc.ect. - (99 - 100)?
    15·1 answer
  • Oab.......................
    8·2 answers
  • Select the correct answer. The temperature in Bloomington on Sunday was 32.6°C. On Monday, the temperature changed by -8.25°C. W
    5·1 answer
  • PLEASE HELP!! DUE IN AN HOUR!
    9·1 answer
  • The radius of a circle is 7 yards. What is the circle's area?
    14·2 answers
  • Find the equation to the line below.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!