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\usepackage{seqsplit}           % Splits long words.
%\usepackage{opensans}          % Can't make this work so far. Shame. Would be lovely.
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% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
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% Document Info
\author{nmnpandey}
\pdfinfo{
  /Title (hypothesis-testing-in-r.pdf)
  /Creator (Cheatography)
  /Author (nmnpandey)
  /Subject (Hypothesis Testing in R Cheat Sheet)
}

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% Commands
\newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour
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% Header and Footer
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\noindent
\begin{multicols}{3}
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    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
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\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Hypothesis Testing in R Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{nmnpandey} via \textcolor{DarkBackground}{\uline{cheatography.com/170426/cs/35835/}}}
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\noindent
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  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}nmnpandey \\
  \uline{cheatography.com/nmnpandey} \\
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Not Yet Published.\\
   Updated 2nd December, 2022.\\
   Page {\thepage} of \pageref{LastPage}.
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  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
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\begin{document}
\raggedright
\raggedcolumns

% Set font size to small. Switch to any value
% from this page to resize cheat sheet text:
% www.emerson.emory.edu/services/latex/latex_169.html
\footnotesize % Small font.


\begin{tabularx}{17.67cm}{x{6.3899 cm} x{10.8801 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{17.67cm}}{\bf\textcolor{white}{Formulate the Hypothesis}}  \tn
% Row 0
\SetRowColor{LightBackground}
Null Hypothesis H0 & hypothesis that is being tested (and trying to be disproved) \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
Alternate Hypothesis H1 & represents the alternative value \tn 
% Row Count 5 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{17.67cm}{x{4.4469 cm} x{3.1293 cm} x{4.4469 cm} x{4.4469 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{4}{x{17.67cm}}{\bf\textcolor{white}{Hypothesis Testing for Mean of 1-Sample}}  \tn
% Row 0
\SetRowColor{LightBackground}
one sample t-test (μ0 (given) is \seqsplit{population} mean; μ is computed sample mean) & H0 : μ = μ0, H1 : μ != μ0 & \seqsplit{t.test(sample\_vector} , \seqsplit{mu=population\_mean}, \seqsplit{alternative="two}.sided") & Compare p-value with 𝞪 to check if H0 is rejected or not; Check \seqsplit{test-statistic} z if H0 is true; \tn 
% Row Count 10 (+ 10)
% Row 1
\SetRowColor{white}
test for \seqsplit{proportion} (p (given) is \seqsplit{population} mean; μ is computed sample mean) & H0 : μ = p, H1 : μ != p & \seqsplit{prop.test(true\_proportion}, \seqsplit{n\_proportion}, \seqsplit{p=population\_mean}, \seqsplit{alternative} = "less") & Compare p-value with 𝞪 to check if H0 is rejected or not; Check \seqsplit{test-statistic} z if H0 is true; \tn 
% Row Count 20 (+ 10)
\hhline{>{\arrayrulecolor{DarkBackground}}----}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{17.67cm}{x{3.1293 cm} x{5.7645 cm} x{1.9764 cm} x{5.5998 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{4}{x{17.67cm}}{\bf\textcolor{white}{Test for Normality}}  \tn
% Row 0
\SetRowColor{LightBackground}
\seqsplit{Quantile} \seqsplit{Quantile} Plot &  & \seqsplit{qqPlot(vector)} & Check curve of qqplot \tn 
% Row Count 4 (+ 4)
% Row 1
\SetRowColor{white}
\seqsplit{Shapiro-Wilks} test & H0 : x = N(μ,σ) and H1 : x != N(μ,σ) & \seqsplit{shapiro}.test & Check p-value obtained from the test is \textless{} 0.05 then we reject H0 and assume the data is not normally distributed. \tn 
% Row Count 13 (+ 9)
\hhline{>{\arrayrulecolor{DarkBackground}}----}
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\par\addvspace{1.3em}

\begin{tabularx}{17.67cm}{x{2.3058 cm} x{5.2704 cm} x{3.4587 cm} x{5.4351 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{4}{x{17.67cm}}{\bf\textcolor{white}{Comparing Variances}}  \tn
% Row 0
\SetRowColor{LightBackground}
\seqsplit{Fisher's} F test & H0: the variances are the same; H1: they are different & \seqsplit{var.test(vectorA}, \seqsplit{vectorB)} & Check p-value; Check ratio if H0 is true. \tn 
% Row Count 5 (+ 5)
\hhline{>{\arrayrulecolor{DarkBackground}}----}
\end{tabularx}
\par\addvspace{1.3em}



\end{document}