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As Yet Another Earthquake Rattled His China Cabinet, the Data

question 9

Essay

As yet another earthquake rattled his china cabinet, the data scientist vowed to once and for all determine whether hydraulic fracturing (where water is injected into the earth)was predictive of the number of earthquakes in the region. Using the data below, what evidence can you find to support the notion that the number of injections helps explain the number of earthquakes in the region?
 Injections  Earthquakes 137682331833360905442100847814825291742\begin{array} { | c | c | } \hline \text { Injections } & \text { Earthquakes } \\\hline 137 & 682 \\\hline 331 & 833 \\\hline 360 & 905 \\\hline 442 & 1008 \\\hline 478 & 1482 \\\hline 529 & 1742 \\\hline\end{array}

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Definitions:

Confidence Intervals

Statistical intervals that estimate where a population parameter, based on sample data, is expected to lie, including a range of possible values.

Standard Error

A measure of the precision or variability of a sample statistic estimate of a population parameter.

Level Of Significance

Level of significance is a threshold in hypothesis testing that determines whether the null hypothesis can be rejected, typically expressed as a probability value (e.g., 0.05).

Rejection Region

The spectrum of results causing the null hypothesis to be dismissed in hypothesis testing.

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