5. The US DOT, National Highway Traffic Safety Administration reported that 77% of all fatally injured automobile drivers were intoxicated. The population is mound shaped and is close to a normal distribution. A random sample of 27 records of auto driver fatalities in Kit Carson showed 15 involved intoxicated drivers. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson? Use ? = 0.01. To receive full credit, show all your work. Failure to show all your work will result in the deduction of 2 points from the question. a. Check requirements, is the Xbar distribution normal? Explain b State null and alternate hypothesis: c. Compute the sample test statistic: d. For H1, estimate the P-value of the test statistic: e. Conclude the test: f. Interpret the results:
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Given that there were 15 out of 27 records of auto driver fatalities in Kit Carson that involved intoxicated drivers, the sample proportion is: \[ \hat{p} = \frac{15}{27} = 0.5556 \] Show more…
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The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 27 records of automobile driver fatalities in Kit Carson County, Colorado, showed that 15 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use a=0.01. What is the null hypothesis? What is the alternate hypothesis? Is this a left-tailed, right-tailed, or two-tailed test? What is the level of confidence alpha? What distribution are you using? Why? What assumptions are required to use that distribution? What is the sample test statistic? What formula did you use to find it? What is the P-value for this test statistic? How did you find it? Do you reject or fail to reject the null hypothesis? What does this rejection/not-rejection of the null hypothesis mean in the context of the problem? Please show work, Thank you
Jon S.
A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2721 occupants not wearing seatbelts, 29 were killed. Among 7650 occupants wearing seat belts, 20 were killed. Use a 0.01 significance level to test the claim that seat belts are effective in reducing fatalities. A. Identify the null and alternative hypotheses for this test. B. Identify the test statistic (Z score). Round to two decimal places C. Identify the P-value D. State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. E. Identify the confidence interval limits for the appropriate confidence interval.
Sri K.
(a) identify the claim and state $H_{0}$ and $H_{a},(b)$ find the critical value and identify the rejection region, $(c)$ find the test statistic $F,(d)$ decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the samples are random and independent, the populations are normally distributed, and the population variances are equal. If convenient, use technology. The table shows the costs per mile (in cents) for a sample of automobiles. At $\alpha=0.01,$ can you conclude that at least one mean cost per mile is different from the others? (Adapted from American Automobile Association) $$\begin{array}{|c|c|c|c|c|}\hline \text { Small sedan } & \text { Medium sedan } & \text { Large sedan } & \text { SUV 4WD } & \text { Minivan } \\\hline 43 & 67 & 64 & 87 & 66 \\41 & 49 & 73 & 66 & 76 \\49 & 63 & 83 & 75 & 59 \\ 54 & 59 & 75 & 78 & 51 \\46 & 64 & 80 & & 70 \\& 52 & 72 & & \\\hline\end{array}$$
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