Question

3. Binomial Test: A new medication that is designed to decrease anxiety was tested on 87 individuals that have been diagnosed with chronic depression. After the study. 36 of the test subjects reported a noticeable decrease in their anxiety and the other 51 subjects reported that they had noticed no change in their anxiety levels. Perform a binomial test on this dataset to determine whether or not the drug decreases anxiety in people with chronic depression. Reference Sections 18.1 and 18.2 of Statistics for the Behavioral Sciences for assistance. a. State the value on n (the total number of subjects). b. State the value X (the number of subjects who reported a decrease in anxiety). c. State the null hypothesis. d. State the alternative hypothesis. e. Find the critical region using an alpha value of 0.05. (Use Table B.1 "The Unit Normal Table.") f. Calculate the z-score. (Use equation 18.1.) g. Given this result, do you reject the null hypothesis? h. Based on your conclusions, does this medication help to reduce the anxiety of patients with chronic depression?

Answer 1

Total number of subjects is 87. a - no. of Subjects who report a 87 a decrease in anziela = 36. Þ= = 0.4138 c) Nell hypothesss Ho: There is no decrease in anxiety due to drug d) Altenative hypothesis H,: The drug decreases anxiety in people with chronic depression. e) critical value: -0.05 Do I tabulated (critical) realen for x = 0.05 to onetailed I left tailed) es 1.645. (-1.645)