[Solution]Solve the problem using both the critical region method

The U.S. Department of Transportation, National Highway Traffic Safety Administration,reported that 77% of all fatally injured automobile drivers were intoxicated. A randomsample of 52 records…

The U.S. Department of Transportation, National Highway Traffic Safety Administration,reported that 77% of all fatally injured automobile drivers were intoxicated. A randomsample of 52 records of automobile driver fatalities in Kit Carson County, Colorado,showed that 37 involved an intoxicated driver. Do these data indicate that thepopulation proportion of driver fatalities related to alcohol is less than 77% in KitCarson County? Use = 0.01. Solve the problem using both the critical region methodand the P-value method. Since the sampling distribution of is the normal distribution,you can use critical values from the standard normal distribution as shown in Figure 98 or part (c) of Table 5, Appendix II. (Round any intermediate calculations to at leastfour decimal places. Round the test statistic and critical value to two decimal places.Round the P-value to four decimal places.)Z: ______critical value: _________P-value: _________ (how do I figure out Z, CV and PV in the TI-84 calculator)State your conclusion using the critical region method.Select the correct answer:A.Reject the null hypothesis. There is sufficient evidence that the true proportion of driver fatalitiesCarson County.B.Reject the null hypothesis. There is insufficient evidence that the true proportion of driver fatalitieCarson County.C.Fail to reject the null hypothesis. There is sufficient evidence that the true proportion of driver fataKit Carson County.D.Fail to reject the null hypothesis. There is insufficient evidence that the true proportion of driver faKit Carson County.Compare your conclusion using the critical region method with the conclusion obtainedby using the P-value method. Are they the same?Select the correct answer:A.The conclusions obtained by using both methods are the same.B.We reject the null hypothesis using the P-value method, but fail to reject using the critical regionC.We reject the null hypothesis using the critical region method, but fail to reject using the

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