Interactive FUN with Type I and Type II Errors Go to the following interactive chart and play around with the blue, red and green sliders. When you first go to the Interactive Error Type webpage, start your settings on "Solve for? Power", Significance level (alpha) at .05, Sample Size at 30, Effect size at .50, and Two-tailed. You'll find your probability of making a Type I error is 5%, the probability of making a Type II error is 22%, and your Statistical Power is 78%. This is NOT part of the grade for this worksheet but is meant more of a practice task to better understand what happens with these changes. Solve for? Power Significance level [a = 0.05) Sample size In = 301 Effect size id = 0.91 Reset 20am Cohen's d: 0.5 5% 22 % 30 Type I error Sampis set The curve to the left is our NULL distribution (control group) and the curve to the right is our ALTERNATIVE (treatment group). Adjust the bars per scenario given below and note the probability of Type I error, Type II error, and Power, followed by responding to the concepts of what happens when we alter things like Type I error, sample size, etc. Based on the values stated at the top of this page, your starter values are as follows: Chance of making a Type I error = 5% Chance of making a Type II error = 22% Power = 78% Change the alpha level from .05 to .01. What happened to the values for Type I, Type II, and Power? Change the alpha level back to .05 and increase the sample size to 50. What happened to the values for Type I, Type II, and Power? Keep the alpha level at .05 and increase the sample size to 100. What happened to the values for Type I, Type II, and Power? Keep the sample size at 100, decrease the alpha level to .01. What happened to the values for Type I, Type II, and Power? Keep the alpha level at .01 and increase the sample size to 120. What happened to the values for Type I, Type II, and Power? Overall Summary: As alpha value decreases, what happens to the probability of making a Type II? As sample size increases, what happens to our amount of Statistical Power? As sample size increases, what happens to the probability of making a Type I error? As sample size increases, what happens to the probability of making a Type II error? What should you concentrate on "most" for the "best results, alpha level or sample size?Independent Sample r-Test Activity |. So many students have anxiety about tests, especially when the tests include math... known as math anxiety. A teacher. who is also a researcher. wanted to nd ways to reduce that anxiety in her statistics courses. She predicted that if the students had a study guide this would help reduce anxiety beHuse students would know what they were going to be assessed on and therefore their perthrmance (scores) would increase. Two groups of students were studied. those who felt anxious about understanding statistics and were given a study guide {treatment}1 and those who felt anxious about understanding statistics who were not given a study guide [control]. Each group had ve students. After the statistics exam, scores from the two groups were analyzed to see if there was a difference when students had a study guide. There were only 20 items on the exam, thus the highest exam score possible was It]. The nondirectional (two tailed] hypothesis was that the \"study guide would affect exam scores". As usual1 the alpha was set at .. Study Guide Group {Treatment} No Study Guide Group {Control} McanofXgiven...M;=Extrn = TUE =14.s McanofXgivcn...Mg=E,vtrn = ssrs=11n Fill out the charts above, ll in the calculated values in the spaces below. then continue to calculate the rest. You will need them as well to answer all the questions at the end