From 60ce0e93ee880e5be4110a6af40179afc0fcd13e Mon Sep 17 00:00:00 2001 From: Loic Guegan Date: Wed, 18 Oct 2023 20:55:32 +0200 Subject: [PATCH] Minor changes --- source/statistics/code/ztest_rejection_region.R | 4 ++-- source/statistics/tests/parametric/ztest.rst | 6 +++--- 2 files changed, 5 insertions(+), 5 deletions(-) diff --git a/source/statistics/code/ztest_rejection_region.R b/source/statistics/code/ztest_rejection_region.R index 309f110..b8f5a88 100644 --- a/source/statistics/code/ztest_rejection_region.R +++ b/source/statistics/code/ztest_rejection_region.R @@ -2,6 +2,6 @@ alpha=0.0003 lower=qnorm(alpha,mean=0,sd=1) upper=qnorm(1-alpha,mean=0,sd=1) -message(paste0("Rejection region left tail Z in ]-inf,",lower,"]")) -message(paste0("Rejection region right tail Z in [",lower,",+inf[")) +message(paste0("Rejection region for left tail: Z in ]-inf,",lower,"]")) +message(paste0("Rejection region for right tail: Z in [",upper,",+inf[")) diff --git a/source/statistics/tests/parametric/ztest.rst b/source/statistics/tests/parametric/ztest.rst index 8f71203..75b2807 100644 --- a/source/statistics/tests/parametric/ztest.rst +++ b/source/statistics/tests/parametric/ztest.rst @@ -77,9 +77,9 @@ Output: .. code-block:: console - Rejection region left tail Z in ]-inf,-3.43161440362327] - Rejection region right tail Z in [-3.43161440362327,+inf[ - + Rejection region for left tail: Z in ]-inf,-3.43161440362327] + Rejection region for right tail: Z in [3.4316144036233,+inf[ + Thus, if the z-score if part of one of the rejection regions, :math:`H_0` is rejected and :math:`H_1` is considered accepted. One-tailed vs Two-tailed