Use the Following Information to Answer the Question -Choose the Correct Null and Alternative Hypothesis

question 49

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. $\begin{array}{l|c|c} & \begin{array}{c}\text { Correctly identified } \\\text { location of ground water }\end{array} & \begin{array}{l}\text { Incorrectly identified } \\\text { location of ground water }\end{array} \\\hline \text { Observed } & 23 & 68 \\\hline \text { Expected } & 18.2 & 72.8\end{array}$

$\begin{array} { | l | } \hline \chi ^ { 2 } \text { GOF-Test } \\\chi ^ { 2 } =1.582417582 \\p = .2084127992 \\\text { d.f. } = 1 \\\text { CNTRB } = \{ 1.26593 \ldots \\\hline\end{array}$

-Choose the correct null and alternative hypothesis.

• A) \(\mathrm { H } _ { 0 }\) : The dowsing rods correctly identify the location of ground water \(20 \%\) of the time. \(\mathrm { H } _ { \mathrm { a } }\) : The dowsing rods correctly identify the location of ground water more than \(20 \%\) of the time.
• B) \(\mathrm { H } _ { 0 }\) : The dowsing rods correctly identify the location of ground water \(50 \%\) of the time. \(\mathrm { H } _ { \mathrm { a } }\) : The dowsing rods correctly identify the location of ground water more than \(50 \%\) of the time.
• C) \(\mathrm { H } _ { 0 }\) : The dowsing rods work no better at locating ground water than guessing. \(\mathrm { H } _ { \mathrm { a } }\) : The dowsing rods work better at locating ground water than guessing.
• D) \(\mathrm { H } _ { 0 }\) : The dowsing rods work better at locating ground water than guessing. \(\mathrm { H } _ { \mathrm { a } }\) : The dowsing rods work no better at locating ground water than guessing.

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