Question

Research Scenario

Hypertension is defined as a systolic blood pressure (SBP) of 140 mmHg or more, or a diastolic blood pressure (DBP) of 90 mmHg or more. Diastolic blood pressure (DBP) measurements from the general population form a normal distribution with m = 82 mmHg and s = 10 mmHg. Epidemiological studies have shown that obesity increases the risk of hypertension (high DBP). Using data from a cohort study, a researcher obtained a sample of n = 144 obese persons whose average DBP was x̅ = 87. Do these data indicate that obesity is associated with hypertension (significantly higher DBP) in this sample? Test with alpha=.05.

Note

µ = population mean

x̅ = sample mean

s = standard deviation

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Note: Each response is worth 6 points

Step 1: Set up your hypothesis and determine the level of significance

            State the null hypothesis

1. In written format

Answer:

2. In mathematical format

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State the alternative hypothesis

3. In written format

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4. In mathematical format

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Determine the Level of significance

5. Based on information in the scenario, what is the level of significance to be used?

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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?

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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?)

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Step 4: Compute the test statistic

8. Calculate the z statistic. Please show your work.

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Step 5: Conclusion

9. Do you reject or fail to reject the null hypothesis?

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10. Is hypertension (high DBP) affected by obesity in this sample?

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Answer 1