It is believed that 1.333% of all the TV's manufactured by a company are defective. Suppose that a random sample of 800 new TV's manufactured by this company has 16 defectives.

Test, at 5% significance level, to see if the data provide enough evidence to conclude that the true defective rate is different from 1.333%. Don't forget to state the null and the alternative hypotheses.

Also, what type of error might you have made in reaching your decision? Finally, compute the p-value for your test and use this p-value to decide if

H0 can be rejected when alpha=0.2 (instead of 0.05).

I've made several attempts and could not figured it out. Is there anyone who can show me how to do this question?

Thanks.