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
zzz [600]
3 years ago
5

Ask Your Teacher An article reported that, in a study of a particular wafer inspection process, 356 dies were examined by an ins

pection probe and 183 of these passed the probe. Assuming a stable process, calculate a 95% (two-sided) confidence interval for the proportion of all dies that pass the probe. (Round your answers to three decimal places.)
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
6 0

Answer:

The 95% (two-sided) confidence interval for the proportion of all dies that pass the probe is (0.462, 0.566).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

356 dies were examined by an inspection probe and 183 of these passed the probe. This neabs that n = 356, \pi = \frac{183}{356} = 0.514

95% confidence interval

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.514 - 1.96\sqrt{\frac{0.514*0.486}{356}} = 0.462

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.514 + 1.96\sqrt{\frac{0.514*0.486}{356}}{119}} = 0.566

The 95% (two-sided) confidence interval for the proportion of all dies that pass the probe is (0.462, 0.566).

You might be interested in
Could someone help with a maths question? The attachment has the questions on it.
andre [41]

The days she has recorded: 11 + 10 + 7 + 6 + 3 + 2 = 39
The mode distance (most often): 5 km
Median distance: 6.64 km ~= 6.5 km ~= 7 km by rounding upwards, so 3rd

Cumulative frequency: 11; 21; 28; 34; 37; 39

7 0
2 years ago
Solve for x………………………
k0ka [10]

4×11+1=45

A+B+C=180 60+75+C=180 180_130=c c=45

4 0
2 years ago
A construction worker covered a square floor using 172.3 ft^2 of flooring without any overlap. Which
Drupady [299]

Answer:

Step-by-step explanation:

aye I need the answer soomeine helo me out, add my insta;, hy.cxsar

4 0
3 years ago
The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of peopl
koban [17]

Answer:

<em>98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list</em>

(0.3583 , 0.4579)

Step-by-step explanation:

<u>Explanation</u>:-

<em>Given sample size 'n' = 517</em>

Given data Suppose a sample of 517 suspected criminals is drawn. Of these people, 211 were captured.

'x' =211

<em>The sample proportion</em>

                                   p^{-}  = \frac{x}{n} = \frac{211}{517} =0.4081

                                  q^{-} = 1-p^{-} = 1- 0.4081 = 0.5919

<em>98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list</em>

(p^{-}  - Z_{\frac{\alpha }{2}  } \sqrt{\frac{p^{-} (1-p^{-} )}{n} } , p^{-} + Z_{\frac{\alpha }{2} } \sqrt{\frac{p^{-} (1-p^{-} }{n} } )

(0.4081  - 2.326   \sqrt{\frac{0.4081 (0.5919 )}{517} } , 0.4081+ 2.326\sqrt{\frac{0.4081(0.5919 }{517} } )

(0.4081-0.0498 , 0.4081 +0.0498)

(0.3583 , 0.4579)

<u><em>Conclusion</em></u>:-

<em>98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list</em>

(0.3583 , 0.4579)

7 0
3 years ago
Simplify the expression 5/x-2y5
34kurt

5x-y10 We're basically just multiplying the 5 by x and the y by 5 and -2.

(5/x= 5x) + (y/-2/-5)

7 0
3 years ago
Other questions:
  • Cheryl paid $37.20 for 12 gallons of ice cream for a school picnic. How much would 1 quart of ice cream cost?
    5·2 answers
  • Which of the following expression is equivalent to the expression below?
    15·1 answer
  • 1. classify -6x^5+4x^3+3x^2+11 by degree. 
    9·1 answer
  • -18,-13,-8,-3,....<br><br> Find the above sequential formula
    7·1 answer
  • Work out the question in the picture
    6·2 answers
  • PLEASE HELP! (WILL GIVE BRAINLIEST FOR RIGHT ANSWER)
    7·1 answer
  • Helppp please I will give brainliest <br><br>write an equation ​
    15·1 answer
  • I need help with this one
    5·1 answer
  • Plz hury plz What type of graph is best to use to organize numerical data based on their digits to compare value?
    13·1 answer
  • A team of five kids is randomly chosen from a class of 20 students. An outcome of the selection process is the set of five kids
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!