Question 888179: An experiment tests whether or not dogs can detect cancer by sniffing 7 urine vials, one of which was from a cancer patient. When the hypothesis is tested that the dogs randomly guess, H0: p = 1/7, against the hypothesis that the dogs do not randomly guess, Ha: p not equal 1/7, a P-value of 0.05 is obtained.
If the decision in part a is in error, what type of error is it? Explain using the context of the experiment.
A - A Type I Error - The P value would cause the rejection of the hypothesis that the dogs randomly guess when in reality they have a method for determining the cancer vial.
B- A Type II error - The P value would cause the rejection of the hypothesis that the dogs randomly guess when in reality they do randomly guess.
C - A Type I error - The P value would cause the rejection of the hypothesis that the dogs randomly guess when in reality they do randomly guess.
D. A Type II error - The P value would not cause rejection of the hypothesis that the dogs randomly
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! An experiment tests whether or not dogs can detect cancer by sniffing 7 urine vials, one of which was from a cancer patient. When the hypothesis is tested that the dogs randomly guess, H0: p = 1/7, against the hypothesis that the dogs do not randomly guess, Ha: p not equal 1/7, a P-value of 0.05 is obtained.
If the decision in part a is in error, what type of error is it? Explain using the context of the experiment.
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Not sure what you are going to do if p-value = alpha = 5%.
If you fail to reject Ho (that detection is random).
If that decision is an error, you committed a Type II Error, i.e.
you accepted Ho when it was infact false.
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Ans: B
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Cheers,
Stan H.
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A - A Type I Error - The P value would cause the rejection of the hypothesis that the dogs randomly guess when in reality they have a method for determining the cancer vial.
B- A Type II error - The P value would cause the rejection of the hypothesis that the dogs randomly guess when in reality they do randomly guess.
C - A Type I error - The P value would cause the rejection of the hypothesis that the dogs randomly guess when in reality they do randomly guess.
D. A Type II error - The P value would not cause rejection of the hypothesis that the dogs randomly
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