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Answer is A !Note: Use the Agresti-Coull “plus four” method of forming a CI for p....

Question

Answer is A !Note: Use the Agresti-Coull “plus four” method of forming a CI for p....

Traces of illegal drugs were found on 8 of a random sample of 60 bills. A 95% confidence interval for the population proporti

Answer is A !Note: Use the Agresti-Coull “plus four” method of forming a CI for p. Please show the work

Traces of illegal drugs were found on 8 of a random sample of 60 bills. A 95% confidence interval for the population proportion of tainted bills is which one of the following? (A) 10/64 (1.960)V(10/64)(1-10/64)/64 (B) 8/60± (1.645)V(8/60)(1-8/60)/60 (C) 8/60 t (1.960)(8/60)(1 - 8/60)/60 (D) 10/64± (1.645) V (10/64)(1-10764)/ 64

Answers

At 95% confidence interval the critical value is z0.025 = 1.96

\widehat p = 8/60

The 95% confidence interval for population proportion p is

\widehat p +/- z0.025 * Vp(1 - p)/n

= 8/60 +/- 1.96 * (8/60(1-8/60)/60

Option - C is correct.


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