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It Was Thought That Hypnosis Would Lower a Person's Need α=0.5\alpha = 0.5

question 82

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It was thought that hypnosis would lower a person's need to smoke. A researcher decided to investigate this hypothesis using the paired-sample sign test. Given that the critical value for ten samples at α=0.5\alpha = 0.5 (single-sided) is 1, is there enough evidence to support the hypothesis?
 Subject  Before Hypnosis  cigarettesfday  After Hypnosis  cigarettes/day 118162201832525415105192062123730268161591314102018\begin{array}{ccc}\hline \text { Subject } & \begin{array}{c}\text { Before Hypnosis } \\\text { cigarettesfday }\end{array} & \begin{array}{c}\text { After Hypnosis } \\\text { cigarettes/day }\end{array} \\\hline 1 & 18 & 16 \\2 & 20 & 18 \\3 & 25 & 25 \\4 & 15 & 10 \\5 & 19 & 20 \\6 & 21 & 23 \\7 & 30 & 26 \\8 & 16 & 15 \\9 & 13 & 14 \\10 & 20 & 18 \\\hline\end{array}

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Definitions:

NaBH4

Sodium borohydride, a chemical compound used as a reducing agent in organic synthesis.

Alditol

A type of sugar alcohol formed by the reduction of the aldehyde or ketone group in monosaccharides.

L-Erythrose

A four-carbon sugar, or tetrose, with the chemical formula C4H8O4, one of the simplest aldose configurations.

NaBH4

Sodium borohydride, a reducing agent widely used in organic chemistry for the reduction of aldehydes, ketones, and aldehydes to alcohols.

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