The null and alternative hypotheses are:

H0:p1p2=0

H0:p1p2=0

H1:p1p20

H1:p1p20

A sample of 200 observations from the first population indicated thatX₁is 170. A sample of 150 observations from the second population revealedX₂to be 110. Use the 0.05 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 rejectH₀ifz

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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 statisticz=.

d.What is your decision regarding the null hypothesis?

H₀is

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rejected

not rejected

.

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

Thep-value is.