Hypotheses of a Population Proportion Test

The hypotheses of a two-tailed test for a population proportion #\pi# are:

#H_0:\pi#
#=#
#\neq#
#\gt#
#\lt#
#\geq#
#\leq#
#\pi_0#
#H_a:\pi#
#=#
#\neq#
#\gt#
#\lt#
#\geq#
#\leq#
#\pi_0#

The hypotheses of a left-tailed test for a population proportion #\pi# are:

#H_0:\pi#
#=#
#\neq#
#\gt#
#\lt#
#\geq#
#\leq#
#\pi_0#
#H_a:\pi#
#=#
#\neq#
#\gt#
#\lt#
#\geq#
#\leq#
#\pi_0#

The hypotheses of a right-tailed test for a population proportion #\pi# are:

#H_0:\pi#
#=#
#\neq#
#\gt#
#\lt#
#\geq#
#\leq#
#\pi_0#
#H_a:\pi#
#=#
#\neq#
#\gt#
#\lt#
#\geq#
#\leq#
#\pi_0#

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