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# Sign Test Calculator

INSTRUCTION: Use ',' or new line to separate between values

## You can see a sample solution below. Enter your data to get the solution for your question

$$\displaylines{---}$$
$$\displaylines{H_{0}:\;median\;of\;2\;samples\;are\;equal \\ \\ H_{a}:\;H_{0}\;is\;false \\ \\ }$$
$$Sample\;1$$
$$Sample\;2$$
$$Sign$$
$$1$$
$$1$$
$$NA$$
$$2$$
$$3$$
$$-$$
$$3$$
$$4$$
$$-$$
$$4$$
$$4$$
$$NA$$
$$5$$
$$3$$
$$+$$
$$\displaylines{}$$
$$\displaylines{ \mathbf{\color{Green}{Now\;we\;have\;to\;count\;+\;and\;-\;sign}} \\ \\ x\;=\;Number\;of\;plus\;sign\;= 1 \\ \\ Number\;of\;negative\;sign\;=\; 2 \\ \\ n\;=\;number\;of\;+\;and\;-\;signs \\ \\ \Rightarrow 1 + 2 \\ \\ \Rightarrow 3 \\ \\ \mu=n*p \\ \\ \Rightarrow 3 * 0.5 \\ \\ \Rightarrow 1.5 \\ \\ \sigma = \sqrt{npq } \\ \\ \Rightarrow \sqrt{3*0.500000*0.500000 } \\ \\ \Rightarrow 0.866025 }$$
$$\displaylines{\\ \\ \alpha = 0.05 \\ \\ Formula\;for\;test\;statistic\;z\;is \\ \\ Z= \frac{x - \mu }{\sigma } \\ \\ \\ So, Z = \frac{1-1.5}{0.866025} \\ \\ \Rightarrow \frac{-0.5}{0.866025} \\ \\ \Rightarrow -0.577351 \\ \\ test\;statistic= -0.577351 \\ \\ p= 0.563702 \\ \\ 0.563702 \;is\;more\;than\; 0.05 \;[p\;value\;is\;more\;than\;\alpha] \\ \\ So,\;Result\;is\;Failed\;to\;Reject\;Null\;Hypothesis }$$