The null and alternative hypotheses are:

H0:p1p2=0H0:p1p2=0

H1:p1p20H1:p1p20

A sample of 260 observations from the first population indicated that X₁ is 220. A sample of 190 observations from the second population revealed X₂ to be 140. Use the 0.01 significance level to test the hypothesis.

a. State the decision rule. (Negative answer should be indicated by a minus sign. Round the final answers to 2 decimal places.)

b. Compute the pooled proportion. (Round the final answer to 2 decimal places.)

c. Compute the value of the test statistic. (Round the final answer to 2 decimal places.)

d. What is your decision regarding the null hypothesis?

e. Determine the p-value. (Round the final answer to 4 decimal places.)