Question

Complete: Chapter 14 Problem Set <Back to Assigmant Average: /10 Attempts As Aa 8. The Spearman correlation "The rapid growth of video game popularity has generated concern among practitioners, parents, scholars, and politicans," wrote researchers Hope M. Cummings and Elizabeth A. Vandewater. In their study, Cummings and vandewater measured the time adolescents spent playing video games as well as time spent doing other activities, such as interacting with family and friends, reading or doing homework, or Vandewater, E. (2007). Relation of adolescent video game play to time spent in other activities. Archives of Pediatrics & Adolescent Medicine, 161(7), 684-689. playing sports. [Source: Cummings, H., & vandewater, you decide to conduct a similar study among After reading about the study conducted by Cummings and a sample of 9 teenage girls. You ask the girls to keep a log of their activities for a day. You want to test whether the amount of time girls spend playing video games is correlated with the amount of time they play with a sibling or peer. You realize that because some of the girls in your sample do not play video games at all, your data will have many zeroes for the amount of time they play video games You decide to use the Spearman correlation for the data. The first thing you do is convert the data to ranks. You convert the amount of time each girl plays video games by assigning the lowest rank to the five girls who don't play video games and the highest rank to those who play video games the most. The rank you assign to each of the five girls who don't play video games is The following table consists of the data for the 9 girls in your study. The data are sorted in order of the amount of time the girls spent playing video games. Fill in the missing ranks for the time spent playing video games and the ranks for the time spent playing with a sibling or peer. Note that the time spent playing with a sibling or peer is not sorted in order. Time Spent Playing Video Games (Minutes/Day) Time Spent Playing with a Rank of Time Spent Sibling or Peer (Minutes/Day) Rank of Time Spent Playing with a sibling or Playing video Games Peer 60 (your answer above) 1 162 (your answer above) tyour answer above 221 130 your answer above) 213 tyour onswer above) 200 130 65 85 Uing your cmpletsid table you can caleuta the soed

Answer 1

Rank of time plairg with minufes]doy)|_spent plesingsikingor video ames feer Peer 1 62 3 221 4'5 30 2 20 200 33 45 30 82 65 2. 85 12-6 3 dato Cpntain tie's thWe take ank abaverage Of the vank S as five 2ero'S xanle Our data conteins 15 142 +3+4+S o 4 2. by pearson relation formhulc -o 30 bySpermaun orvelation formnulq_rs =

These twn esimajes Carrekhon are diterent because of the Spearman. The Pearson orrelation formwla applieg to the rankloses accuracy when there Hes are many