Researchers conducted an experiment to test the effects of alcohol. Errors were recorded in a test of visual and motor skills for a treatment group of 22 people who drank ethanol and another group of 22 people given a placebo. The errors for the treatment group have a standard deviation of 2.30​, and the errors for the placebo group have a standard deviation of 0.74. Use a 0.05 significance level to test the claim that the treatment group has errors that vary significantly more than the errors of the placebo group. Assume that the two populations are normally distributed. => Identify the test statistic.   (Round to two decimal places as​ needed.)   Use technology to identify the​ P-value.   ​(Round to three decimal places as​ needed.

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Researchers conducted an experiment to test the effects of alcohol. Errors were recorded in a test of visual and motor skills for a treatment group of 22 people who drank ethanol and another group of 22 people given a placebo. The errors for the treatment group have a standard deviation of 2.30​, and the errors for the placebo group have a standard deviation of 0.74. Use a 0.05 significance level to test the claim that the treatment group has errors that vary significantly more than the errors of the placebo group. Assume that the two populations are normally distributed.

=>

Identify the test statistic.
 
(Round to two decimal places as​ needed.)
 
Use technology to identify the​ P-value.
 
​(Round to three decimal places as​ needed.)
 
What is the conclusion for this hypothesis​ test?
 
reject/fail to reject?
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