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
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Research Hypothesis: The mean score on the test after playing violent video games is not 70. ** Show more…
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Dr. Woz and Dr. Yaz want to test whether violent video games have an effect on aggressive thinking in high school youth. In order to measure aggressive thinking, the researchers are going to use a test developed at GTA University. The test has shown that scores greater than 70 on the test indicate that the subject is more likely to agree with statements that endorse aggressive behavior. The researchers select a random sample of n = 200 youth from an after-school program 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 mean = 72.5 and s = 20. The researchers would like to know if the sample mean of 72.5 is statistically significantly different from 70 using a two-tailed test with α < .05 and critical values of t of ±1.96. a. The null hypothesis for this test would be that the test average =? Ho: µ = 70. b. What is the estimated standard error for this test? The estimated standard error for this test is s/√n = 20/√200. c. Calculate the value of the t statistic: The t statistic is calculated as (sample mean - hypothesized mean) / (estimated standard error) = (72.5 - 70) / (20/√200). d. Is this test "one-tailed" or "two-tailed"? This test is two-tailed. e. Does the t statistic fall in the "critical region"? To determine if the t statistic falls in the critical region, we compare it to the critical values of t. If the t statistic is greater than the positive critical value or less than the negative critical value, it falls in the critical region. f. Do you accept or reject the null hypothesis? To determine whether to accept or reject the null hypothesis, we compare the t statistic to the critical values of t. If the t statistic falls in the critical region, we reject the null hypothesis. Otherwise, we accept the null hypothesis. e. Why are the researchers described using a t test rather than a Z test? The researchers are using a t test rather than a Z test because the population standard deviation is unknown, and the sample size is relatively small (n = 200). Therefore, a t test is more appropriate for this scenario.
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Two teaching methods and their effects on science test scores are being reviewed. A random sample of 13 students, taught in traditional lab sessions, had a mean test score of 78.1 with a standard deviation of 5.3. A random sample of 17 students, taught using interactive simulation software, had a mean test score of 87.8 with a standard deviation of 6.3. Do these results support the claim that the mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software? Let μ1 be the mean test score for the students taught in traditional lab sessions and μ2 be the mean test score for students taught using interactive simulation software. Use a significance level of α=0.01 for the test. Assume that the population variances are equal and that the two populations are normally distributed. Step 3 of 4: Determine the decision rule for rejecting the null hypothesis H0. Round your answer to three decimal places. Step 4 of 4: State the test's conclusion.
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