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 \( \mathrm{L} \) 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. A summary of the experiment results and the output for the goodness-of-fit test follow. Choose the correct null and alternative hypothesis. (i) Click the icon to view the summary and output. A. \( H_{0} \) : 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. B. \( \mathrm{H}_{0} \) : 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. C. \( \mathrm{H}_{0} \) : 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. D. \( \mathrm{H}_{0} \) : 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. Summary and output \begin{tabular}{l|c|c} & \begin{tabular}{l} Correctly identified \\ location of ground water \end{tabular} & \begin{tabular}{l} Incorrectly identified \\ location of ground water \end{tabular} \\ \hline Observed & 23 & 68 \\ \hline Expected & 18.2 & 72.8 \end{tabular} \[ \begin{array}{l} \chi^{2} \text { GOF-Test } \\ \chi^{2}=1.582417582 \\ p=2084127992 \\ \text { d.f. }=1 \end{array} \]

          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 \( \mathrm{L} \) 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. A summary of the experiment results and the output for the goodness-of-fit test follow. Choose the correct null and alternative hypothesis.
(i) Click the icon to view the summary and output.
A. \( H_{0} \) : 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.
B. \( \mathrm{H}_{0} \) : 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.
C. \( \mathrm{H}_{0} \) : 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.
D. \( \mathrm{H}_{0} \) : 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.
Summary and output
\begin{tabular}{l|c|c} 
& \begin{tabular}{l} 
Correctly identified \\
location of ground water
\end{tabular} & \begin{tabular}{l} 
Incorrectly identified \\
location of ground water
\end{tabular} \\
\hline Observed & 23 & 68 \\
\hline Expected & 18.2 & 72.8
\end{tabular}
\[
\begin{array}{l}
\chi^{2} \text { GOF-Test } \\
\chi^{2}=1.582417582 \\
p=2084127992 \\
\text { d.f. }=1
\end{array}
\]

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. A summary of the experiment results and the output for the goodness-of-fit test follow. Choose the correct null and alternative hypothesis.
(i) Click the icon to view the summary and output.
A. H0 : The dowsing rods work better at locating ground water than guessing. Ha : The dowsing rods work no better at locating ground water than guessing.
B. H0 : The dowsing rods correctly identify the location of ground water 20 % of the time. Ha : The dowsing rods correctly identify the location of ground water more than 20 % of the time.
C. H0 : The dowsing rods correctly identify the location of ground water 50 % of the time. Ha : The dowsing rods correctly identify the location of ground water more than 50 % of the time.
D. H0 : The dowsing rods work no better at locating ground water than guessing.
Ha : The dowsing rods work better at locating ground water than guessing.
Summary and output

Correctly identified

location of ground water

Incorrectly identified

location of ground water

Observed 23 68

Expected 18.2 72.8

χ^2 GOF-Test
χ^2=1.582417582

p=2084127992
d.f. =1

Added by Christine C.

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