4 of5 A hospital administrator collected data on ER visits and has displayed it in the contingency table below. Respond to the prompts that follow. (1 point each) Weekday ER Number of ER Expected Number of Visits IS ER Visits 145 125 105 125 Wednesday 140 125 Thursday 110 125 125 125 a, What statistical test would most likely be used with this data? What is the rationale for yout choice? b, State the null and alternative hypotheses for the appropriate test Use complete sentences 5. What is the critical value of the test statistic? Use a : .05 d. What is the calculated value 01 the test statistic? Explain how you determined this e. State the conclusion forthis statistical test. 5 of 5 A school superintendent wants to know whether the math fluency scores at the three middle schools in the district are equal. He collects data and summarizes it in the table below. Respond to the prompts below. (1 point each) Lewis School King School Adams School sample size n 15 15 15 mean score 99 113 93 variance 111 205 160 a. What statistical test would be appropriate for this analysis? What is the rationale for your choice? b. State the complete null and alternative hypotheses for the statistical test c. What are the degrees of freedom for the test statistic for this scenario? d. How does the scenario above differ from a two-way ANOVA? e. Assuming a statistically significant outcome, state the conclusion for the test.2 of5 A recent health study sought to investigate whether taking oaths was related to the incidence of cardiovascular disease The analysis found there was a negative correlation between frequency of bath taking and the inCIdence of cardiovascular disease. Respond to the prompts below. (1 point each) a, Would it be appropriate to conclude from this that regular bath taking reduces. the risk of cardiovascular disease? Explain why or why not, D. It YOU were to calculate a correlational coetndent for these tWO Variables and It turned Out. to be :45 now would YOU interpret this relationship? |.E.'.= what l5 the strength or the relationship between the two variables? 6. Calculate the coei'Cient of determination for the above correlation What does this result tell you about the relationship between the variables? d. How might a third variable account for the apparent assoCiation between bath taking and cardiovascular disease? e, What additional research might you suggest to add additional clarity to the results reported above? Why? 3 of 5 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 vaccinated and unvaccinated 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 (s) 2.0 3.0 a. 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. b. Calculate the standard error of the test statistic. Show the calculations. c. Calculate the value of the test statistic. Show the calculations d. 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. e. Calculate the effect size using Cohen's d and interpret that result