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 0.37. Suppose a random sample of 104 traffic fatalities in a certain region results in 50 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 a = 0.1 level of significance? Because npo (1- Po) = 24.2 > 10, the sample size is less than 5% of the population size, and the sample is given to be random, the requirements for testing the hypothesis satisfied. are (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: versus H,: (Type integers or decimals. Do not round.)

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**Hypothesis Testing for Proportion of Fatal Traffic Accidents**

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 0.37. Suppose a random sample of 104 traffic fatalities in a certain region results in 50 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 α = 0.1 level of significance?

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**Conditions for Hypothesis Testing**

- The test statistic calculated is \( np_0(1-p_0) = 24.2 \), which is greater than 10.
- The sample size is less than 5% of the population size.
- The sample is given to be random.

These conditions indicate that the requirements for testing the hypothesis are satisfied (rounded to one decimal place as needed).

**Hypotheses**

- Null Hypothesis (\( H_0 \)): \( p = 0.37 \)
- Alternative Hypothesis (\( H_1 \)): \( p > 0.37 \)

*(Note: Type integers or decimals. Do not round.)*
Transcribed Image Text:**Hypothesis Testing for Proportion of Fatal Traffic Accidents** 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 0.37. Suppose a random sample of 104 traffic fatalities in a certain region results in 50 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 α = 0.1 level of significance? --- **Conditions for Hypothesis Testing** - The test statistic calculated is \( np_0(1-p_0) = 24.2 \), which is greater than 10. - The sample size is less than 5% of the population size. - The sample is given to be random. These conditions indicate that the requirements for testing the hypothesis are satisfied (rounded to one decimal place as needed). **Hypotheses** - Null Hypothesis (\( H_0 \)): \( p = 0.37 \) - Alternative Hypothesis (\( H_1 \)): \( p > 0.37 \) *(Note: Type integers or decimals. Do not round.)*
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