A Friday the 13th study provides data on traffic accident related emergency room admissions. The distributions of these counts from Friday the 6th and Friday the 13th are shown below for six such paired dates along with summary statistics. You may assume that conditions for inference are met. 10 Friday the 6th 5 10 Friday the 13th N -5 0 Difference 6th 13th diff Mean 6.83 9.83 -3.00 SD 3.66 2.86 2.76 (a) Conduct a hypothesis test to evaluate if there is a difference between the average numbers of traffic accident related emergency room admissions between Friday the 6th and Friday the 13th. (Use a significance level of 0.05. Use Friday the 6th - Friday the 13th as the difference.) Write down the hypotheses. (Write your hypotheses in terms of /dip. Enter != for * as needed.) HA: Calculate the test statistic. (Round your answer to two decimal places.) Determine the p-value. (Round your answer to three decimal places.) Interpret your results in context. O Reject Ho. The data provide convincing evidence that there is a difference between the average numbers of traffic accident related emergency room admissions between Friday the 6th and Friday the 13th. Fail to reject Ho. The data do not provi mergency room admissions between Friday the 6th and Friday the 13th. O Reject Ho. The data do not pr etween Friday the 6th and Friday the 13th. O Fail to reject Ho. The data provide convincing ncy room adm between Friday the 6th and Friday the 13th. (b) Calculate a 95% confidence interval for the difference between the average numbers of traffic accident related emer between Friday the 6th and Friday the 13th. (Round your answers to three decimal places.)