In: Statistics and Probability
Dr. Woz and Dr. Yaz want to test whether violent video games have an effect on aggressive thinking through the use of a One Sample t test. In order to test aggressive thinking, Woz and Yaz are going to use a test developed at GTA University; scores greater than 70 on the test indicate agreement with statements that endorse aggressive behavior. They select a sample of n = 100 children from a local primary school for the study. Each of the students spends an hour playing a first-person shooter-type video game and then takes the test. The mean and standard deviation for the sample is M = 73 and s = 20. Woz and Yaz would like to know if the sample mean of 73 is statistically significantly different from 70 using a two-tailed test with α < .05 and critical values of t of ±1.98.
What is the Null Hypothesis?
What is the Research Hypothesis?
What is the estimated standard error?
Calculate the t value for the sample mean
Should the null be accepted or rejected?
Explain your reasoning for your decision regarding the Null Hypothesis
Write up your results in the proper APA format
Solution:
What is the Null Hypothesis?
Answer: The null hypothesis is:
What is the Research Hypothesis?
Answer: The research hypothesis is:
What is the estimated standard error?
Answer: The estimated standard error is:
Calculate the t value for the sample mean
Answer: The t value for the sample mean is:
Should the null be accepted or rejected?
Answer: The null hypothesis should be accepted
Explain your reasoning for your decision regarding the Null Hypothesis
Answer: Since the t value is not outside the critical values of t , therefore the null hypothesis is accepted
Write up your results in the proper APA format
Answer: We fail to reject the null hypothesis because the t value is not outside the critical values of t . Therefore, there is not sufficient evidence to conclude that the sample mean of 73 is statistically significant different from 70