![mcclendoncassandra](/avatars/30193.jpg)
mcclendoncassandra
29.05.2021 •
Mathematics
A software engineer is creating a new computer software program. She wants to make sure that the crash rate is extremely low so that users would give high satisfaction ratings. In a sample of 400 users, 20 of them had their computers crash during the 1-week trial period.
Required:
a. What is the sample size?
b What is the 95% confidence Intarval for p?
Solved
Show answers
More tips
- F Food and Cooking How to Quickly Put your Child to Sleep?...
- F Food and Cooking Discover the Benefits and Properties of Dates...
- C Computers and Internet Dynamically Assigned IP Address: What Is It and How Does It Work?...
- S Style and Beauty How to Get Rid of Acne: Scientifically Proven Methods...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
Answers on questions: Mathematics
- M Mathematics Jim earns $1.600 per month after taves. he is working on his budget and has the first three categories finished. housing food transportation 9576 5272 why wil he...
- M Mathematics What is the square root of 25? a) 5 b) 10 c) 15 d) 50...
- M Mathematics Simplify 2 (this is an exponent to 4) 1/5(-16-9)+4 ÷8...
- M Mathematics Line c has a slope of -2/3. line d is perpendicular to c. what is the slope of line d?...
- M Mathematics The perimeter of a rectangular certificate is 30 inches. the certificate is 6 inches tall. how wide is it?...
- M Mathematics 4. p(5, 2); m = 3 what is the given point and slope...
- M Mathematics Calculate the perimeter of a square with side length of 9 cm don not include units in your answer...
- M Mathematics Cartavious started a lawn mowing business, that he works on weekends. he mowed 8 lawns on saturday, and a few more on sunday. if he mowed a total of 13 lawns, than...
- M Mathematics Use a calculator to find the approximate value of cos^-1(0.55)....
- M Mathematics 8x+ 11 = 8x + 8 o a. 1 o b. infinitely many o c. o...
Ответ:
a) the sample size is 400
b) 95% confidence Interval for p is ( 0.0286, 0.0714 )
Step-by-step explanation:
Given the data in the question;
sample size n = 400
x = 20
p = x / n = 20 / 400 = 0.05
q = 1 - p = 1 - 0.05 = 0.95
a)
n = 400
Hence, the sample size is 400
b) 95% confidence Interval for p;
At 95% confidence interval,
significance level ∝ = 1 - 95% = 1 - 0.95 = 0.05
∝/2 = 0.05 / 2 = 0.025
so, Z critical Value ;
= 1.96 { from table }
So for Confidence Interval for p;
⇒ p' ±
√( p'q' / n )
we substitute
⇒ 0.05 ± 1.96√( (0.05 × 0.95 ) / 400 )
⇒ 0.05 ± 1.96√( 0.00011875 )
⇒ 0.05 ± 1.96 × 0.010897
⇒ 0.05 ± 0.021358
⇒ ( 0.05 - 0.021358 ), ( 0.05 + 0.021358 )
⇒ ( 0.0286, 0.0714 )
Therefore, 95% confidence Interval for p is ( 0.0286, 0.0714 )
Ответ:
Step-by-step explanatio:ES XNC437001XX