Asked by Khansa Asikasari on Jul 28, 2024

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A researcher conducts a study measuring 20 children before and after they play violent video games and obtains a value of 1.98 for the t-statistic. For a non-directional alternative hypothesis, which of the following is the correct way to present this analysis?

A) t(20) = 1.98, p > .05
B) t(19) = 1.98, p > .05
C) t(18) = 1.98, p > .05
D) t(38) = 1.98, p > .01

Non-directional Hypothesis

A hypothesis that does not predict the specific direction of the difference or relationship, only that one exists.

T-statistic

A statistic calculated from sample data used to assess the plausibility of the null hypothesis in t-tests.

  • Determine and utilize the appropriate critical values for t-tests, considering the sample size and levels of significance.
  • Understand the consequences of accepting or declining the null hypothesis in t-tests.
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Verified Answer

TH
Tyree HollimanAug 01, 2024
Final Answer :
B
Explanation :
Since the researcher is measuring the same group of children before and after playing violent video games, this is a paired-samples t-test. Therefore, the degrees of freedom are n-1, where n=20, resulting in 19 degrees of freedom. Additionally, the t-statistic of 1.98 falls above the critical value of 2.093 for a two-tailed test with 19 degrees of freedom at alpha level .05. Therefore, the p-value must be greater than .05. Therefore, the correct way to present this analysis is: t(19) = 1.98, p > .05.