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Crypto fear and greed index

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

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