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hypothesis_testing/hypothesis_testing.ipynb

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"> $$\n",
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"> H_a: \\mu > 7{,}500{,}000 \\quad \\text{(the salary is more than \\$7.5M)}\n",
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"> $$\n",
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"> We use \\$7.5M so the test statistic and p-value stay in a range that is easy to read in decimals. Testing far below the sample mean (for example, testing \\(H_a: \\mu > 5{,}000{,}000\\) when the sample mean is near \\$8.45M) gives a very large \\(t\\) and a p-value near \\(10^{-12}\\), which is correct but often appears as \"0.0000\" when rounded to four decimals."
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">"
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{
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"cell_type": "markdown",
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"id": "9671279b",
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"metadata": {},
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"source": [
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"**Why \\$7.5M here?** We use \\$7.5M so the test statistic and p-value stay in a range that is easy to read in decimals. Testing far below the sample mean (for example, testing $H_a: \\mu > 5{,}000{,}000$ when the sample mean is near \\$8.45M) gives a very large $t$ and a p-value near $10^{-12}$, which is correct but often appears as \"0.0000\" when rounded to four decimals."
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{

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