Question

Solve the problem.

A one-sided confidence interval for p can be written as p <  + E or p >  - E where the margin of error E is modified by replacing z_/2 with z. If a teacher wants to report that the fail rate on a test is at most x with 90% confidence, construct the appropriate one-sided confidence interval. Assume that a simple random sample of 70 students results in 5 who fail the test.

a) p < 0.032

b) p < 0.122

c) p > 0.032

d) p < 0.111

Answer 1

Answer:

Given that:

A one-sided confidence interval for p can be written as p <  + E or p >  - E where the margin of error E is modified by replacing z/2 with z

One-sided confidence interval for 90% for proportion is

i.e

(or)

​​​​​​

​​​​​​

One sided 90% confidence interval is

​​​​​​

c) p > 0.032