A physician claims that lower back pain intensity scores will decrease after receiving acupuncture treatment. The table shows the lower back pain intensity scores for eight patients before and after receiving acupuncture for eight weeks. At \(\alpha=0.05\), is there enough evidence to support the physician's claim?

(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,

(e) interpret the decision in the context of the original claim.

Transcribed Image Text:

Patient 1 2 3 4 56 7 8 Intensity score (before) 59.2 46.3 65.4 74.0 79.3 81.6 44.4 59.1 Intensity score (after) 12.4 22.5 18.6 59.3 70.1 70.2 13.2 25.9