A health scientist has collected data comparing the time in days from onset of flu-like respiratory symptoms as shown by a positive test result to a negative test result for vacoinated and unvaocinated persons. She wants to see if there is a Significant difference in the time to a negative test. The data is summarized in the table below. Respond to the prompts that follow. (1 point each) Vaccinated Unvaccinated sample size n 31 31 mean days to 6 9 negative test sample SD (5) 2.0 3.0 . What statistical test would be appropriate for this scenario and would it be right-tailed, left-tailed or two-tailed? Give the rationale for your choice. . Calculate the standard error of the test statistic. Show the calcu ations. . Calculate the value of the test statistic. Show the calculations. . Look up the critical value of the test statistics using alpha .05 and state a decision based on the calculated value of the test statistic and provide a rationale for that decision. . Calculate the effect size using Cohen's d and interpret that result. fDCLnU'm