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A local road was designed to handle a daily mean of 153 cars. The local city council is concerned that the road it getting more traffic than it was designed to handle. A recent sample of 50 days found a sample mean of 163 cars per day and a sample standard deviation of 30.7 mph. We will perfrom a hypothesis test to determine if this is strong evidence that the mean number of daily cars is more than the road was designed to handle. Define your variable. O Let u be the mean number of of cars that use the road on the sampled days. O Let p be the proportion of cars that use the road. O Let u be the mean number of cars that use the road on a daily basis. O Let p be the proprotion of cars in the sample that use the road. Write your hypotheses: Ho: ? v 2V HA: 2 V ?V Find the P-value: Type your answer as a decimial rounded to three decimal places. Do not type a percentage or a percent sign. P-value= Using an a level of 5 % , you should O Reject Ho and Accept HA O Accept Ho O Fail to Reject Ho State your conclusions: We O do not O do have strong evidence that the O mean number of cars that use the road in the sample is greater than 163 O proportion of cars that use the road on a daily basis in now less than 153 O mean number of of cars that use the road on a daily basis is greater than 153 O mean of cars that use the road in the sample is less than 163 O mean number of of cars that use the road on a daily basis is less than 153 Is this evidence that the road is getting more traffic than it was designed to handle? O No Yes