Classes SISK-12 360 Launch The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that \( 77 \% \) of all fatally injured automoblle drivers were Intoxicated. A random sample of 54 records of automobile driver fatalities in a certain county showed that 35 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 \( \alpha=0.10 \). USE SALT (a) What is the level of significance? \[ 0.10 \] State the null and alternate hypotheses. \( H_{0}: p<0.77 ; H_{1}: p=0.77 \) \( H_{0}: p=0.77 ; H_{1}: p>0.77 \) \( H_{0}: p=0.77 ; H_{1}: p \neq 0.77 \) \( H_{0}: p=0.77 ; H_{1}: p<0.77 \) (b) What sampling distribution will you use? The standard normal, since \( n p>5 \) and \( n q>5 \). The Student's \( t \), since \( n p<5 \) and \( n q<5 \). The Student's \( t \), since \( n p>5 \) and \( n q>5 \). The standard normal, since \( n p<5 \) and \( n q<5 \). What is the value of the sample test statistic? (Round your answer to two decimal places.)
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The level of significance, denoted as \( \alpha \), is given in the problem as \( 0.10 \). This value is used to determine the critical value and the rejection region for the hypothesis test. 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 54 records of automobile driver fatalities in a certain county showed that 37 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 𝛼 = 0.10. (a) What is the level of significance? State the null and alternate hypotheses. (b) What sampling distribution will you use? (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level 𝛼? (e) Interpret your conclusion in the context of the application.
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Please provide the following information. (a) What is the level of significance? State the null and alternate hypotheses. (b) Check Requirements What sampling distribution will you use? Do you think the sample size is sufficiently large? Explain. Compute the value of the sample test statistic and corresponding $z$ value. (c) Find the $P$ -value of the test statistic. Sketch the sampling distribution and show the area corresponding to the $P$ -value. (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level $\alpha$ ? (e) Interpret your conclusion in the context of the application. Highway Accidents: DUI 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 $\alpha=0.01$.
Hypothesis Testing
Testing a Proportion $p$
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