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
padilas [110]
3 years ago
14

A sample of 900 computer chips revealed that 58% of the chips fail in the first 1000 hours of their use. The company's promotion

al literature states that 54% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is different from the stated percentage. Determine the decision rule for rejecting the null hypothesis, H0, at the 0.02 level.
Mathematics
1 answer:
Bess [88]3 years ago
8 0

Answer:

The significance level is \alpha=0.02 and \alpha/2=0.01 we want to find the decision rule. Since is a bilateral test the critical values are:

z_{\alpha/2}= \pm 2.326

And for this case the decision rule would be reject the null hypothesis if the  calculated value is:

|t_{calculated}| >2.326

And for this case the calculated value is higher than 2.326 so then we have enough evidence to reject the null hypothesis at the significance level given.

Step-by-step explanation:

Information given

n=900 represent the random sample mean

\hat p=0.58 estimated proportion  of the chips fail in the first 1000 hours of their use

p_o=0.54 is the value to verify

\alpha=0.02 represent the significance level

z would represent the statistic

System of hypothesis

We want to test if the actual percentage that fail is different from the stated percentage, the system of hypothesis are.:  

Null hypothesis:p=0.54  

Alternative hypothesis:p \neq 0.54  

The statistic 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{0.58 -0.54}{\sqrt{\frac{0.54(1-0.54)}{900}}}=2.41  

The significance level is \alpha=0.02 and \alpha/2=0.01 we want to find the decision rule. Since is a bilateral test the critical values are:

z_{\alpha/2}= \pm 2.326

And for this case the decision rule would be reject the null hypothesis if the  calculated value is:

|t_{calculated}| >2.326

And for this case the calculated value is higher than 2.326 so then we have enough evidence to reject the null hypothesis at the significance level given.

You might be interested in
5 x + 4y= 16<br> X+y = 3.5<br><br> Find out what each letter is equal to <br> X=<br> Y=
klemol [59]
X=4
Y=-0.5

Do you need an explanation?
5 0
3 years ago
PLEASE HELP I WILL GIVE BRAINLIEST
MA_775_DIABLO [31]

Answer:

The answer is 1\frac{1}{2}

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What does a dot plot show that a box plot doesn't
Rufina [12.5K]
A dot plot shows each item of numerical data above a number line.
8 0
3 years ago
STMolciatio<br> saisi savo<br> Paintinoindiadoc<br> 7<br> 8 8<br> को<br> Incouvarior<br> 3
liubo4ka [24]

Answer:I do not speak

Step-by-step explanation: if u answer them all you get I do not speak I hope this helped :)

4 0
3 years ago
When making a horizontal translation your y-value changes and when making a vertical translation your x-value changes. true or f
Ann [662]
False
The horizontal translation is from left to right which affects the x-value while the vertical translation is up to down which affects the y-value

Good luck!
3 0
2 years ago
Other questions:
  • Two drivers, Alison and Kevin, are participating in a drag race. Beginning from a standing start, they each proceed with a const
    15·1 answer
  • Here’s my dilemma, I can accept a $1000 bill or play a game ten times. For each roll of the single die, I win $500 for rolling 1
    10·1 answer
  • Use substitution to solve each system of equations. y = 4x + 22 4x – 6y = –32
    12·2 answers
  • What is 25/30 simplified(25/30 is a fraction)
    8·2 answers
  • The shape above is made of cubes. How many total cubes make up the shape?
    11·2 answers
  • CONCEPTS OF ALGEBRA<br> (question in picture)<br> PLEASE HELP!<br> 10 points
    10·1 answer
  • A line has a y-intercept of -10 and a slope of 7/4 Find the equation of the line.
    9·1 answer
  • Pleeeeeeeeeeaaaaaassssseeee help​
    12·1 answer
  • M
    14·1 answer
  • ALGEBRA
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!