In a study testing the effects of an herbal supplement on blood pressure in men, 11 randomly selected men were given an herbal supplement for 12 weeks. The table shows the measurements for each subject's diastolic blood pressure taken before and after the 12-week treatment period. At \(\alpha=0.05\), can you reject the claim that there was no reduction in diastolic blood pressure?

Use a sign test to test the claim by doing the following.

(a) Identify the claim and state \(H_{0}\) and \(H_{a}\).

(b) Find the critical value.

(c) Find the test statistic.

(d) Decide whether to reject or fail to reject the null hypothesis.

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Patient 1 2 3 4 5 6 Before treatment 123 109 112 102 98 114 After treatment 124 97 113 105 95 119 Patient 7 8 9 10 11 Before treatment 119 112 110 117 130 After treatment 114 114 121 118 133