Describe type I and type II errors for a hypothesis test of the indicated claim.

A lumber store claims that nomorethan 60% of its new customers will return to buy their next orderoflumber.

Describe the type I error. Choose the correct answer below.

A.

A type I error will occur when the actual proportion of new customers who return to buy their next orderoflumber is nomorethan 0.60, but you fail to reject H0: p0.60.

B.

A type I error will occur when the actual proportion of new customers who return to buy their next orderoflumber is nomorethan 0.60, but you reject H0: p0.60.

C.

A type I error will occur when the actual proportion of new customers who return to buy their next orderoflumber is atleast 0.60, but you reject H0: p0.60.

D.

A type I error will occur when the actual proportion of new customers who return to buy their next orderoflumber is atleast 0.60, but you fail to reject H0: p0.60.

Describe the type II error. Choose the correct answer below.

A.

A type II error will occur when the actual proportion of new customers who return to buy their next orderoflumber is morethan 0.60, but you fail to reject H0: p0.60.

B.

A type II error will occur when the actual proportion of new customers who return to buy their next orderoflumber is lessthan 0.60, but you reject H0: p0.60.

C.

A type II error will occur when the actual proportion of new customers who return to buy their next orderoflumber is morethan 0.60, but you reject H0: p0.60.

D.

A type II error will occur when the actual proportion of new customers who return to buy their next orderoflumber is lessthan 0.60, but you fail to reject H0: p0.60.