A random sample of 300 circuits generated 13 defectives. a. Use the data to test Ho:...
A random sample of 300 circuits generated 13 defectives. a. Use the data to test Ho: p = 0.05 versus Ha: p ≠ 0.05. Use = 0.05. Find the P-value for the test. b. Explain how the question in part (a) could be answered with a confidence interval.
Homework Answers
(a) Test statistic,
= -0.53
P value = P(z<-0.53) + P(z>0.53) = 0.5961
Since P value > 0.05 (significance level)
we donot reject Ho.
(b) 95% confidence interval for p
= (0.0203, 0.0663)
Since 95% confidence interval contains the value p= 0.05 , we donot reject H0 .
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