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All areas of the country use a BAC of 0.100.10 ​g/dL as the legal intoxication level. Is it possible that the mean BAC of all drivers involved in fatal accidents who are found to have positive BAC values is less than the legal intoxication​ level? A. ​No, it is not possible. B. ​Yes, but it is not likely. C. ​Yes, and it is highly probable.

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Answer:

C. ​Yes, and it is highly probable.

Explanation:

Null hypothesis, [tex]H_0[/tex] : ц 0.09

Alternative hypothesis, [tex]H_1[/tex]: ц > 0.09

Test statistic is,

x Z =  x - ц / s

[tex]\frac{0.15 - 0.09 }{0.06}[/tex]

[tex]\frac{0.06}{0.06}[/tex]

=1  

The p-value is,  

p = P(Z > z)

=1—P(Z ≤1)

= 1— 0.841345

= 0.158655

(From normal tables)  

The p-value is greater than the significance level, so we fail to reject the null hypothesis. The correct option is, C  

Yes, and it is highly probable.  

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