7c. t= (X -Y S-P - S-P S2p = (1-D)s x+ (n2-1)s y = n1+ n2-2 S2 x = L(X-X)2 Say = E(Y- Y)2 n-1 n-1 7d. df = 7e. Draw Picture for P Value and Traditional Method P Value Method Traditional Method 7e. Decision: 7e. Decision: 7f. Interpret your decision (There is enough or not enough evidence....): =4. What is the Standard deviation for scores in Form A? Students H D _ 5. What is the percentile rank of Student 4 (higher the number on Form A means higher anxiety levels)? 6. Now that you have chosen your test measure anxiety, you want to test the claim that most adolescents with more than 100 social media interactions (post, likes, comments, reactions) per week have anxiety. You want to test this claim at the 5 percent significant level. You survey 31 students who had more than 100 social media interactions/week and found 21 had anxiety. a. State the Claim and Qpplaim: i. Claim: ii. 999; b. State the Null and Alternative Hypothesis i. H": ii. Ha: c. Test the Claim using the appropriate test statistic [Z or T formula) You are a professor interested in studying the relationship between social media and mental health. You immerse yourself in the literature and read dozens of research articles. After reading the articles it was evident the field claims adolescents with more than 100 social media interactions (post, likes, comments, reactions) will have anxiety. You want to test this claim and decided to carry out a research study. Before you go out to recruit adolescents at a middle school you need to choose an instrument to use in your study that assess anxiety levels. You found two instruments after searching the internet. One instrument, called Form A, cost money to use it and is the gold standard in assessing anxiety levels in adolescent. The other instrument is a free instrument developed by a professor called Form B. You don't want to spend a lot of money buying Form A. If Form A positively correlated with Form B you can justify using Form B in your study. You get a random sample of 10 adolescents and give them Form A (yes you purchased only a few to test) and Form B (yes, you contacted the professor and asked for his permission to use his inventory). Both inventories are scored on an interval scale (continuous variables). 1. What correlation coefficient would you calculate to see if you could use Form B? Why? Student Form A Form B 5 6 2 8 17 3 4 6 2. Calculate the appropriate correlation coefficient? 3. Could you use Form B instead of Form A? Why?d. Draw your picture for p value and traditional method and label appropriately: P Value Method Traditional Method e. Interpret your decision {There is enough or not enough evidence....): 7. A school counselor developed a treatment for anxiety targeting these adolescents. The school counseling asked you to test the claim that the anxiety treatment program doesn't work in a group of adolescent children. To do so, you got a random sample of 30 students and randomly assigned them Group A and Group B. Group A student received no anxiety intervention while Group B received the anxiety treatment. You gave Form B of the anxiety test to both groups of students and obtained the following results (low scores below means less anxiety). Complete the table and calculate the Unpaired (independent) Ttest. -4 U1 H U1 U1 U1 ---1 m .1 D C 1: o: 7a. Claim: 7b. Ho: Ha