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Posted: May 28th, 2024
Statistic practice problem for exam (Note: unless indicated otherwise, use level ofsignificance 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 hascreated a new textbook which they use in their school because they believe it willincrease student interest in science. A random sample of 25 students fromCreative Teaching Elementary School are given the Science AttitudesQuestionnaire and their mean score was 10.2. Go through all 4 steps of hypothesistesting to decide if the new textbook at Creative Teaching Elementary Schoolsignificantly impacts studentsâ attitudes about math.a. Step 1: Write out the hypothesesa. Step 2: Assume that we draw all possible random samples of 25 students from thepopulation 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 statisticd. Step 4: Make a statistical decision about the null. Will you reject or fail to reject the nullbased on your sample data? (Be sure to include appropriate test statistic and decisioncriteria).e. Step 4 (continued): Provide a substantive conclusion about the results from your sampledata. (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 researchstudy above. Label which boxes would be correct decisions and which would be errors(Type I and Type II).TruthH0 TrueH0 FalseNew Textbook atCreative TeachingElementary School doesnot affect studentattitudes about scienceNew Textbook atCreative TeachingElementary School doesaffect student attitudesabout scienceReject H0New Textbook atCreative TeachingElementary School doesaffect student attitudesabout scienceStatisticalDecisionFail to reject H0New Textbook atCreative TeachingElementary School doesnot affect studentattitudes about scienceg. 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?
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