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To test his hypotheses that students who finish an exam first get better grades, a professor kept track of the order in which papers were

To test his hypotheses that students who finish an exam first get better grades, a professor kept track of the order in which papers were handed in. Of the first 26 papers, 12 received a B or better compared with 6 of the last 22 papers handed in.

(a1)

Choose the appropriate hypotheses. Let represent the grades of the first group and represent the grades of the second group.

a.

H0: 0 vs. H1: < 0.

b.

H0: 0 vs. H1: > 0.

(a2)

Specify the decision rule at = .10. (Round your answer to 2 decimal places).

Reject the null hypotheses if zcalc > .

(a3)

Find the test statistic zcalc and p-value. (Do not round intermediate calculations. Round proportions to 4 decimal places. Round your final answers to 4 decimal places.)

zcalc

p-value

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