Assignment
Research Scenario
Diastolic blood pressure (DBP) measurements from the general population form a normal distribution with a m = 82 mmHg and s = 10 mmHg. Epidemiological studies have shown that smoking is a contributing factor to high DBP. Using data from a cohort study, a researcher obtained a sample of n = 100 smokers whose average DBP was x¯ = 90. Do these data indicate that smoking is associated with significantly higher DBP in this sample? Test with alpha=.05.
Determine the Level of significance
Based on information in the scenario, what is the level of significance to be used?
Step 1: Select the appropriate test statistic
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 2: Set up the decision rule
Based on the level of significance you set in Step 1 and whether your alternative hypothesis is directional or non-directional, what is your decision rule? (In other words, what is your rejection region?)
Step 3: Compute the test statistic
Calculate the z statistic. Please show your work.
Step 4: Conclusion
Do you reject or fail to reject the null hypothesis?
Is DBP affected by smoking in this sample?