A study was carried out on the effectiveness of Reiki therapeutic touch to manage pain in cancer patients. 'ain was assessed twice for each of the 16 cancer patients: once before and once after Reiki touch therapy. or each of the 16 patients, the difference between each pair of pain scores was recorded (difference = after before). The sample mean and sample standard deviation of the difference are -1.02 and 2.64, respectively. Does the data suggest that Reiki touch therapy lower the true average pain score for the patients? Draw the conclusion at 0.05 level of significance. (a) [1 pt] State the null hypothesis (Ho) for this test. (b) [1 pt] State the alternative hypothesis (H.) for this test. (c) [2 pts] Calculate the test statistic value. (d) (3 pts] Would you reject the null hypothesis at significance level o = 0.057 Explain. (e) [1 pt] If you incorrectly reject the null hypothesis, what type of error did you make? Circle the correct answer. (a) Type I error (b) Type II error