A researcher wants to examine the relationship between time spent on social media (variable X) and anxiety (variable Y) in teens. A randomly sampled of n = 25 teenagers was asked how much time on average they spend on social media each day and how anxious they feel on a typical day.
The partial computations of collected data produced the following results: SP = 20, MX = 12, SSx = 50, MY = 6, SSY = 32.
A. Based on these results, is there a significant correlation between time spent on social media and anxiety among teens? Use a Pearson correlation test with p < .05, 2-tails to answer this research question.
Follow the steps of hypothesis testing and insert your answers below. In your calculations, round all numbers to two decimal places to avoid rounding errors.
ANSWER
H0: There is no significant correlation between time spent on social media and anxiety among teens.
H1: There is a significant correlation between time spent on social media and anxiety among teens.
Computed Pearson r =
df for decision about H0 =
Critical r-value used for decision about H0 =
Decision about H0 (i.e., reject or fail to reject) =
Conclusion (i.e., is there a significant correlation or not? If the correlation is significant, is it positive or negative?) =
Make sure to follow the APA reporting format in your conclusion.
B. Find the regression equation for predicting a person's anxiety (i.e., variable Y) from the average time spent on social media each day (variable X). In your answer, show all computational steps.