The null and alternative hypotheses are:

H0:p1p2=0H0:p1p2=0

H1:p1p20H1:p1p20

A sample of 210 observations from the first population indicated that X₁ is 170. A sample of 170 observations from the second population revealed X₂ to be 120. 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.)

The decision rule is to reject H₀ifz (Click to select) is outside is inside ( , ).

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

The pooled proportion is .

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

The test statistic is z = .

d. What is your decision regarding the null hypothesis?

H₀ is (Click to select) not rejected rejected .

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

The p-value is .