[Step-by-Step] Briefly identify the following in words or equations as appropriate: p -value, and its use. Sampling distribution of β#770; Type I Error Level
Question: Briefly identify the following in words or equations as appropriate:
- \(p\) -value, and its use.
- Sampling distribution of \(\hat{\beta}\)
- Type I Error
- Level of significance
- Given \(\hat{\beta}=4.0\) and \(\mathrm{SE}(\hat{\beta})=2.0\), test the null hypothesis that \(\beta=0\) (versus the alternative hypothesis that it does not equal zero) with 13 degrees of freedom at the \(1 \%\) level of significance.
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