Assignment: Steps to Hypotheses Testing
Instructions - For this Assignment, review this week's Learning Resources, including the 5 step approach to hypothesis testing document. Read the research scenario, below, and then answer the questions related to the steps that must be followed to make the appropriate decision as to reject or fail to reject the null hypothesis.
Research Scenario
Hemoglobin levels (g/dL) from the general population of adult men form a normal distribution with μ = 15.3 and σ = 0.95. Several studies have shown that vegans and vegetarians suffer from lower than normal hemoglobin levels, which indicates anemia. Using clinical data, a researcher measured hemoglobin levels from a sample of n = 100 adult men who followed a vegan or vegetarian diet. The average hemoglobin level (g/dL) for this sample was x¯ = 13.2. Do these data indicate that following a vegan or vegetarian diet has a significant effect on hemoglobin levels? Test with p=.05.
Note
µ = population mean
x¯ = sample mean
σ = standard deviation
Step 1: Set up your hypothesis and determine the level of significance
State the null hypothesis
1. In written format
2. In mathematical format
State the alternative hypothesis
3. In written format
4. In mathematical format
Determine the Level of significance
5. Based on information in the scenario, what is the level of significance to be used?
Step 2: Select the appropriate test statistic
6. The appropriate test statistic for the above scenario is the one-sample z test. What is a Z test? Describe why this is the appropriate test for the scenario?
Step 3: Set up the decision rule
7. Based on the level of significance you set in Step 1 (Question 5) and whether your alternative hypothesis is directional or non-directional, what is your decision rule? (In other words, what is your rejection region?)
Step 4: Compute the test statistic
8. Calculate the z statistic. Please show your work.
Step 5: Conclusion
9. Do you reject or fail to reject the null hypothesis?
10. Are hemoglobin levels affected by a vegan or vegetarian diet?
Attachment:- Assignment Files.rar