Let denote the population Pearson correlation between the amount of time boys sp
ID: 3313621 • Letter: L
Question
Let denote the population Pearson correlation between the amount of time boys spend playing video games and the amount of time they interact with their parents. Your null hypothesis is hypothesis is his p * 0 . Your hypothesis test will be and your alternative test. The Pearson correlation between the amount of time boys spend playing video games and the time they interact with their parents in your sample is r =-0.08. As a test statistic for the hypothesis test of = 0, the sample Pearson correlation r has degrees of freedom. Following is a partial table of critical values of the sample Pearson correlation r for the test of 0, Level of Significance for the One-Tailed Test 0.05 0.025 0.01 0.005 Level of Significance 0.10 0.050.02 0.01 for the Two-Tailed Test df 50 60 70 80 90 100 0.231 0.273 0.322 0.354 0.211 0.250 0.295 0.325 0.195 0.232 0.274 0.302 0.183 0.217 0.257 0.283 0.173 0.205 0.242 0.267 0.164 0.195 0.230 0.254 With this critical value you will the nuli with 0.05, the table lists a critical value of hypothesis and spend playing video games and the amount of time they interact with their parents conclude that there is a significant negative correlation between the amount of time boys Given your conclusion, what is the most appropriate interpretation of your result?Explanation / Answer
n = 72 (assuming since n is not given any where here)
Null hypothesis: H0 = = 0
Alternative hypothesis: H1 = 0
Your hypothesis test will be two tailed test
Sample correlation r = -0.08
Degrees of freedom: n- 2= 70
t = r*(n-2)/(1-r2)
= -0.08*70/(1-0.0064)
=-0.67148
t critical value for 70 df at 5% = 0.232
since, t < -0.232 , we reject the null hypothesis and hence conclude that there is a significant negative correlation between the amount of time boys spend playing video games and the amount of time they interact with their parents.
Note: change the calculation as per your n.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.