Use the Following Information to Answer the Question -Test the Hypothesis That the Dowsing Rods Worked Better at Rod

question 6

Multiple Choice

Use the following information to answer the question. A dowsing rod is a "Y" or "L" shaped instrument that some believe can find ground water. Many dowsers today use a pair of simple L-shaped metal rods. One rod is held in each hand, with the short arm of the L held upright, and the long arm pointing forward. When something is found, the rods cross over one another making an "X" over the found object. Skeptics of dowsing conducted an experiment to see if dowsing rods could find ground water. Five identical 3 foot by 3 foot plots of land were sectioned off and a container of water was buried in one of the plots. Below is a summary of the experiment results and the output for the goodness-of-fit test. $\begin{array}{l|c|c} & \begin{array}{l}\text { Correctly identified } \\\text { location of ground water }\end{array} & \begin{array}{l}\text { Incorrectly identified } \\\text { location of ground water }\end{array} \\\hline \text { Observed } & 21 & 57 \\\hline \text { Expected } & 15.6 & 62.4\end{array}$

$\begin{array} { | l | } \hline \chi ^ { 2 } \text { GOF-Test } \\\chi ^ { 2 } = 2.336538462 \\p = .1263700849 \\\text { d.f. } = 1 \\\text { CNTRB } = \{ 1.86923 \ldots \\\hline\end{array}$


-Test the hypothesis that the dowsing rods worked better at locating ground water than guessing. Using a goodness-of-fit test and a 0.05 level of significance, choose the correct decision regarding the null hypothesis and conclusion statement.

• A) Reject \(\mathrm { H } _ { 0 }\); There is not enough evidence to conclude that the dowsing rods worked better than guessing.
• B) Fail to reject \(\mathrm { H } _ { 0 }\); There is enough evidence to conclude that the dowsing rods worked better than guessing.
• C) Reject \(\mathrm { H } _ { 0 }\); There is enough evidence to conclude that the dowsing rods worked better than guessing.
• D) Fail to reject \(\mathrm { H } _ { 0 }\); There is not enough evidence to conclude that the dowsing rods worked better than guessing.

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