1. **State the problem:** We want to test if the community health program increased the average systolic blood pressure from the previous mean of 145 mmHg after 3 months. 2. **Identify the hypotheses:** - Null hypothesis ($H_0$): The mean systolic blood pressure has not increased, i.e., $\mu \leq 145$ - Alternative hypothesis ($H_a$): The mean systolic blood pressure has increased, i.e., $\mu > 145$ 3. **Given data:** - Sample size, $n = 28$ - Sample mean, $\bar{x} = 132$ - Sample standard deviation, $s = 9$ - Significance level, $\alpha = 0.05$ 4. **Note:** The problem asks to test whether the program increased the mean systolic blood pressure. Since the sample mean (132) is actually less than the previous mean (145), this is contrary to the program increasing blood pressure. But the question specifically states to test if the program increased the mean. Thus the alternative hypothesis is $\mu > 145$. 5. **Interpretation:** The decision will depend on the test statistic and p-value calculated from the sample data.