**Hypothesis Testing for Proportion of Fatal Traffic Accidents with Positive BAC**According to a government agency, the nationwide proportion of fatal traffic accidents where the driver had a positive blood alcohol concentration (BAC) is 0.34. We examine a random sample of 109 traffic fatalities in a region, where 49 involve a positive BAC. We aim to determine if there is evidence suggesting that the region has a higher proportion of traffic fatalities with a positive BAC than the national level, at a significance level of α = 0.01.**Steps:**1. **Check Requirements:** Ensure the sample size is sufficient with np₀(1 − p₀) ≥ 10 and that the sample size is less than 5% of the population. 2. **Formulate Hypotheses:** - Null Hypothesis (H₀): p = 0.34 - Alternative Hypothesis (H₁): p > 0.34 3. **Compute the Test Statistic (z₀):** Calculate the z-value for the sample proportion.4. **Find the P-value:** Determine the P-value from the z₀ statistic.5. **Conclusion:** - Option A suggests rejecting the null hypothesis if the P-value < α, indicating sufficient evidence for a higher regional proportion of fatalities with positive BAC. - Option B suggests rejecting the null hypothesis if the P-value > α, although this option seems unlikely in context.Make your choice based on the calculated P-value and the significance level α.**Note for Students:** Fill in each step with calculated values for complete analysis. Make sure to round to the required decimal places as instructed. **Determine the conclusion for this hypothesis test. Choose the correct answer below.**- **A.** Since P-value < α, reject the null hypothesis and conclude that there is sufficient evidence that the region has a higher proportion of traffic fatalities involving a positive BAC than the country.- **B.** Since P-value > α, reject the null hypothesis and conclude that there is sufficient evidence that the region has a higher proportion of traffic fatalities involving a positive BAC than the country.- **C.** Since P-value < α, do not reject the null hypothesis and conclude that there is not sufficient evidence that the region has a higher proportion of traffic fatalities involving a positive BAC than the country.- **D.** Since P-value > α, do not reject the null hypothesis and conclude that there is not sufficient evidence that the region has a higher proportion of traffic fatalities involving a positive BAC than the country.*Note: No graphs or diagrams are included in this image.*

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Description: **Hypothesis Testing for Proportion of Fatal Traffic Accidents with Positive BAC**According to a government agency, the nationwide proportion of fatal traffic accidents where the driver had a positive blood alcohol concentration (BAC) is 0.34. We ex

Solution: Given information: n= 109 Sample size of traffic fatalities . p0= 0.34 Population…

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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 0.34. Suppose a random sample of 109 traffic fatalities in a certain region results in 49 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 = 0.01 level of significance?

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 0.34. Suppose a random sample of 109 traffic fatalities in a certain region results in 49 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 = 0.01 level of significance?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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