We have to accept or reject a large shipment of items. For quality control purpose. we collect a sample of 150 items and find 20 defective item in it.

The manufacturer claims that at most one in 10 items in the shipment is defective.

(a) (4points) At 5% level of significance, conduct a one-sided test. Write out

Ho

and

HA

(b) (6 points) Compute the p-value. (Round the answer to 4 decimals)

(c) (2 points) At the 5% level of significance, do we have sufficient evidence to disprove this claim? State your reasons