Assignent Solutionnurs

– Please make sure you have answered all questions. Please use the lecture note that I provided in the browse.
Questions.
1. What are the assumptions that need to be satisfied in order to use a t-test to test the significance of an observed difference between a known population mean and the mean of a set of sample data?
2. Summarize the similarities and differences between the critical value approach and the p-value approach to hypothesis testing. What information does the p-value approach provide that may be lacking when using the critical value approach?
3. Given a statistically significant outcome and rejection of the null hypothesis, why is the alternative hypothesis then said to be “supported” but is not said to be “proven”?
4. Why does “statistical significance” not necessarily also indicate “practical significance”? What is the difference between them?
5. Give an original example showing how a one-sample test of a population proportion could be used to answer a research question. Provide a brief summary of the research scenario, being sure to identify both the independent and dependent variables, and correctly state the null and alternative hypotheses in both words and symbols.