The critical values of r in Table A-6 are found by solving for r to get where
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for r to get
where the t value is found from Table A-3 by assuming a two-tailed case with n - 2 degrees of freedom. Table A-6 lists the results for selected values of n and a. Use the formula for r given here and Table A-3 (with n - 2 degrees of freedom) to find the critical values of r for the given cases.
a. H0: p = 0, n = 50, a = 0.05
b. H1: p 0, n = 75, a = 0.10
c. H0: p ¥ 0, n = 20, a = 0.05
d. H0: p ¤ 0, n = 10, a = 0.05
e. H1: p > 0, n = 12, a = 0.01
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