Question 836100: An automobile association claims that 54% of fatal car/truck accidents are caused by driver error. A researcher studies 30 randomly selected accidents and finds that 14 were caused by driver error. Using 0.02 , can the association’s claim be refuted? Use the P-value method.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! An automobile association claims that 54% of fatal car/truck accidents are caused by driver error. A researcher studies 30 randomly selected accidents and finds that 14 were caused by driver error. Using alpha = 0.02, can the association’s claim be refuted? Use the P-value method.
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Ho: p = 0.54 (claim)
Ha: p # 0.54
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z(14/30) = (0.4667-0.54)/sqrt[0.54*0.46/30] = -0.8059
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p-value = 2*P(z < -0.8059) = 0.4203
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Conclusion: Since the p-value is greater than 2%, fail to reject the claim.
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Cheers,
Stan H.
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