For the following pairs of assertions, indicate which do not comply with our rules for setting up hypoth- eses and why (the subscripts 1 and 2 differentiate between quantities for two different populations or samples): a. H0: m = 100, Ha: m > 100
b. H0: s = 20, Ha: s 20
c. H0: p -:: .25, Ha: p = .25
d. H0: m1 - m2 = 25, Ha: m1 - m2 > 100
e. H0: S2 = S2, H : S2 -:: S2
f. H0: μ = 120, Ha: μ = 150 These hypotheses comply with our rules. Ha cannot include equality, so these hypotheses are not in compliance. Each μ is a statistic, so these hypotheses do not comply with our rules. If μ appears in H0, then it should not appear in Ha, so these hypotheses are not in compliance.
g. H0: σ1/σ2 = 1, Ha: σ1/σ2 ≠ 1 These hypotheses comply with our rules. H0 cannot include equality, so these hypotheses are not in compliance. Each σ is a statistic, so these hypotheses do not comply with our rules. The asserted value in H0 should not appear in Ha, so these hypotheses are not in compliance.
h. H0: p1 − p2 = −0.1, Ha: p1 − p2 < −0.1 These hypotheses comply with our rules. H0 cannot include equality, so these hypotheses are not in compliance. Each p is a statistic, so these hypotheses do not comply with our rules. The asserted value in H0 should not appear in Ha, so these hypotheses are not in compliance.