PHST 301 Lab 9: Two Group Testing Name: 1) A researcher wishes to compare the average amount of time elementary-aged students spend playing sports each day. In a sample of 16 boys (Group 1), the average number of hours playing sports per day was 3.2 hours with a standard deviation of 1.1 hrs. Surveying 9 girls (Group 2) found an average of 2.1 hours with a standard deviation of 0.9 hours. Using a significance level of 0.05, is there enough evidence to show that the average amount of time playing sports is different between elementary-aged boys and girls? a. Should the outcome variable be considered continuous or dichotomous? b. Set up the appropriate null and alternative hypotheses c. Select the appropriate test statistic. Should a z or t test statistic be used for this hypothesis test? Explain your reasoning and/or show your work. d. Set up the decision rule for this hypothesis test. Make sure to include the appropriate z or t critical value. e. Compute the appropriate test statistic for this hypothesis test. f. Make a decision using the decision rule in (d) and write out an appropriate conclusion. PHST 301 Lab 9: Two Group Testing 2) A clinical trial is run to investigate whether a new medication for hives is better than the current treatment. 200 adults experiencing hives are given the new medication (Group 1), and after thirty minutes 12 patients still have hives. Another 200 patients are tested with the current treatment (Group 2), and 20 patients still have hives after thirty minutes. Using a=0.01, we want to test if the new medication leads to a lower rate of persistence hives than the current standard treatment. a. Should the outcome variable be considered continuous or dichotomous? b. Set up the appropriate null and alternative hypotheses. c. Select the appropriate test statistic. Should a z or t test statistic be used for this hypothesis test? Explain your reasoning and/or show your work. d. Set up the decision rule for this hypothesis test. Make sure to include the appropriate z ort critical value. e. Compute the appropriate test statistic for this hypothesis test. f. Make a decision using the decision rule in (d) and write out an appropriate conclusion.