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0.00 points Section Exercise 8-55 nspection of a random sample of 28 aircraft sh

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Question

0.00 points Section Exercise 8-55 nspection of a random sample of 28 aircraft showed that 17 needed repairs to fix a wiring problem that might compromise safety. a) How large a sample would be needed to estimate the true proportion of jets with the wiring problem, with 95 percent confidence and an error of ± 8 percent? Enter your answer as whole number (no decimals). Use a z-value taken to 3 decimal places in your calculations.) Sample size (b) Would the airline actually conduct further sampling, or just inspect all the planes? 42.799 Conduct further samping Inspect all the planes References Worksheet Difficulty: 2 Medium Section Exercise 8-55 Learning Objective: 08-10 Calculate sample size to estimate a proportion.

Explanation / Answer

5)a) margin of error E =0.08

proprotion p=17/28 =0.607

for 95% CI ; z=1.96

therefore sample size =p(1-p)*(Z/E)2 =~144

7)

between 0.025 to 0.05

8)

a)option b

std error =std deviaiton/(n)1/2 =0.042

b)hence test statistic =(X-mean)/std error =1.190

c)No

d)p value 0.2167

9)std error =0.3972

a-1) test stat =(X-mean)/std errror =3.2979

a-2) Yes

p value =0.0011

10) z calc =2.593

yes

6)

the probability of rejecting a true null hypothesis increases as n increases.