code: def test_alternative(case):
      # regression test numbers, but those are close to each other
      alt, meth = case
      count1, n1, count2, n2 = 6, 51.0, 1, 54.0
      _, pv = smr.test_poisson_2indep(
          count1,
          n1,
          count2,
          n2,
          method=meth,
          value=1.2,
          alternative=alt,
      )
      assert_allclose(pv, cases_alt[case], rtol=1e-13)
  
imports: import pytest
  import warnings
  import numpy
  from numpy import arange
  from numpy.testing import assert_allclose, assert_equal
  from scipy import stats
  import statsmodels.stats.rates
  from statsmodels.stats.rates import confint_poisson, tolerance_int_poisson, confint_quantile_poisson, etest_poisson_2indep, confint_poisson_2indep, nonequivalence_poisson_2indep, power_poisson_ratio_2indep, power_equivalence_poisson_2indep, power_poisson_diff_2indep, power_equivalence_neginb_2indep, power_negbin_ratio_2indep, method_names_poisson_1samp, method_names_poisson_2indep
label_desc: Use image node_id 12 for calling a global function with example usage: test_alternative(case) without return types