?Screen time and use of social media are related to negative mental health outcomes

Chapter 8, Problem 18

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QUESTION:

Screen time and use of social media are related to negative mental health outcomes, including suicidal thoughts (Twenge, Joiner, Rogers, & Martin, 2018 ). In a national survey of adolescents, the mean number of depressive symptoms was \(\mu=2.06, \sigma=1.00\) Suppose that a researcher recruits \(n=25\) participants and instructs them to visit friends or family instead of using social media. The researcher observes that the average number of depressive symptoms is \(M=1.66\) after the intervention.

a. Test the hypothesis that the treatment reduced the number of depressive symptoms. Use a one-tailed test with \(\alpha=.05\)

b. If the researcher wants to reduce the likelihood of Type 1 error. what should they do?

c. Compute Cohen's d to estimate the size of the effect.

d. Write a sentence demonstrating how the results of the hypothesis test and the measure of effect size would appear in a research report. increased to \(n=64\)?

Equation Transcription:

Text Transcription:

mu=2.06,sigma=1.00

n=25

M=1.66

alpha=.05

n=64

Questions & Answers

QUESTION:

Screen time and use of social media are related to negative mental health outcomes, including suicidal thoughts (Twenge, Joiner, Rogers, & Martin, 2018 ). In a national survey of adolescents, the mean number of depressive symptoms was \(\mu=2.06, \sigma=1.00\) Suppose that a researcher recruits \(n=25\) participants and instructs them to visit friends or family instead of using social media. The researcher observes that the average number of depressive symptoms is \(M=1.66\) after the intervention.

a. Test the hypothesis that the treatment reduced the number of depressive symptoms. Use a one-tailed test with \(\alpha=.05\)

b. If the researcher wants to reduce the likelihood of Type 1 error. what should they do?

c. Compute Cohen's d to estimate the size of the effect.

d. Write a sentence demonstrating how the results of the hypothesis test and the measure of effect size would appear in a research report. increased to \(n=64\)?

Equation Transcription:

Text Transcription:

mu=2.06,sigma=1.00

n=25

M=1.66

alpha=.05

n=64

ANSWER:

Step 1 of 5

a)

Let X be the random variable for the number of depressive symptoms in adolescents.

                                                                 

 

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