According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (bac) is 0.39. suppose a random sample of 105 traffic fatalities in a certain region results in 54 that involved a positive bac. does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive bac than the country at the alpha equals 0.1 level of significance?

The sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country.

Step-by-step explanation:

In this case we have to perform a hypothesis test on a proportion.

The null and alternative hypothesis are:

The level of significance is 0.1.

The standard deviation for the proportion can be calculated as:

The proportion of the sample is

The test statistic is

The one-tail P-value for z=2.421 is .

The P-value is smaller than the significance level, so the effect is significant.

The null hypothesis is rejected: the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country.

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step-by-step explanation: