Statistic practice problem for exam (Note: unless indicated otherwise, use level of significance of .05 for all questions) 1. The national average for students on the Science Attitudes Questionnaire is 10.0, with a standard deviation of 1.0. Creative Teaching Elementary School has created a new textbook which they use in their school because they believe it will increase student interest in science. A random sample of 25 students from Creative Teaching Elementary School are given the Science Attitudes Questionnaire and their mean score was 10.2. Go through all 4 steps of hypothesis testing to decide if the new textbook at Creative Teaching Elementary School significantly impacts students' attitudes about math. a. Step 1: Write out the hypotheses a. Step 2: Assume that we draw all possible random samples of 25 students from the population of students at the college. What would be the appropriate standard error (SE) for a distribution of samples of size 25? b. Step 2 (continued): What is the critical value for this test statistic? c. Step 3: Calculate the test statistic d. Step 4: Make a statistical decision about the null. Will you reject or fail to reject the null based on your sample data? (Be sure to include appropriate test statistic and decision criteria). e. Step 4 (continued): Provide a substantive conclusion about the results from your sample data. (Be sure to include the research context and descriptive statistics). f. The following table lists the possible decisions that can be made based on the research study above. Label which boxes would be correct decisions and which would be errors (Type I and Type II). Truth H0 True H0 False New Textbook at Creative Teaching Elementary School does not affect student attitudes about science New Textbook at Creative Teaching Elementary School does affect student attitudes about science Reject H0 New Textbook at Creative Teaching Elementary School does affect student attitudes about science Statistical Decision Fail to reject H0 New Textbook at Creative Teaching Elementary School does not affect student attitudes about science g. What would a Type I error mean in the context of this study? h. What would a Type II error mean in the context of this study