The null and alternative hypotheses are:

H

0

:

d

0

H0:d0

H

1

:p

1

p

2

>0

H1:p1p2>0

A sample of 95 observations from the first population indicated thatX₁is 70. A sample of 131 observations from the second population revealedX₂to be 95. Use the 0.1 significance level to test the hypothesis.

a.State the decision rule.(Round the final answer to 3 decimal places.)

H₀is

(Click to select)

rejected

not rejected

ifz>.

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

Pooled proportion

c.Compute the value of the test statistic.(Negative answer should be indicated by minus sign. Round the final answer to 2 decimal places.)

Test statistic

d.What is your decision regarding the null hypothesis?

H₀should

(Click to select)

be rejected

not be rejected

.

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

p-value