A random sample of 100 adults as recently gathered in order to explore a possible relationship between alcohol consumption and high blood pressure. The results are provided in the contingency table below. Your job is to determine if drinking status is independent of high blood pressure.
High Blood Pressure Status
Absent Present Total
Non drinker 26 11 37
Light to moderate 16 29 45
Heavy drinker 13 15 18
Total 55 45 100
a. Define the null alternative hypothesis.
b. Define the alternate hypothesis.
c. Let a = 0.05. Determine the rejection region.
d. Compute the test statistic.
e. What is the conclusion?
The solution tests the hypothesis that drinking status is independent of high blood pressure using chi-squared test of independence.