16. Another outcome variable in the study described in Problem 15 is hypercholesterolemia, defined as total cholesterol over 220. Among the individuals who follow the low-carbohydrate diet, 56% are hypercholesterolemic, and among the individu- als who follow the conventional diet, 40% are hypercholesterolemic. Test if there is a significant difference in the proportions using a 5% level of significance. d characteristics

Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires caused by humans in the west? 367 of the 526 randomly selected wildfires looked at in the south were caused by humans while 390 of the 594 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer > Select an answer > Select an answer O (please enter a decimal) H j: Select an answer Select an answer > Select an answer O (Please enter a decimal) c. The test statistic (please show = your answer to 3 decimal places.) d. The p-value (Please show your answer to %3D 4 decimal places.)

16. A one-way ANOVA test is conducted at the 10% level of significance and finds the following results: n = 34, K = 4, x̅ = 16.62, MST = 30.303, and MSE = 12.356. What is the tail area of the ANOVA test? A. 0.083 D. 0.097 B. 0.178 C. 0.071

Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.

1 a) Hair color is an True False example of a qualitative data.

6. A clinical trial is conducted comparing a new pain reliever for arthritis to a placebo. Participants are randomly assigned to receive the new treatment or a placebo and the outcome is pain relief within 30 minutes. The data are shown in Table 7–54. Is there a significant difference in the proportions of patients reporting pain relief? Run the test at a 5% level of significance.