1 We are testing H0 p1p2 and HA p1 doesnt equal p2 at 1 leve

1. We are testing H0\" p1=p2 and HA: p1 doesnt equal p2 at 1% level of significance of an attribute in two populations 1 and 2.

a. State the test statistic, the P_value, and your conclusion about rejecting or not rejecting the null hypothesis.
b. Compute a 99% confidence interval for p1=p2 and describe whether the information from this interval is consistent with the conclusion in the hypothesis test.

2. Explain the meaning of a type I error and a type II error.

3. We are going to test the null and the alternative hypotheses: H0:u=80 or HA: u>80 based on a simple random sample of size 50 and the population standard deviation of 20.

a. Compute the probability of a type II error if actually u=84

b. Compute the power of the test if ACTUALLY u=84

c. Compute the probability of a type II error if actually u=90

d. Compute the power of the test if u=90

Solution