5. The contingency table shows the results of a random sample of patients with pain from musculoskeletal injuries treated with acetaminophen or ibuprofen. At a = 0.01, can you conclude that the treatment is related to the result? Complete parts (a) through (e) below. (a) Identify the claim and state Ho and Ha- Ho: (1) Ha (2). Which hypothesis is the claim? Alternative hypothesis Null hypothesis (b) Determine the degrees of freedom, find the critical value, and identify the rejection region. Calculate the degrees of freedom. d.f.= (Type a whole number.) Find the critical value. x²= (Round to three decimal places as needed.) Which region below is the correct rejection region? -A. x²> x² B. x²-x² or x²x² c. x2 <x2 -D. -x25x25x2 (c) Calculate the test statistic. x2 = (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. (3) Ho because the test statistic (4) (e) Interpret the decision in the context of the original claim. in the rejection region. enough evidence at the 1% level of significance to (6) Result Significant improvement Treatment Acetaminophen Ibuprofen 55 85 Slight improvement 48 22 There (5). (1) The result is dependent on the type of treatment. ° The results occur with a different frequency than expected. The results occur with the same frequency as expected. The result is independent of the type of treatment. (2) The results occur with the same frequency as expected. The result is independent of the type of treatment. The results are uniformly distributed. 9 The results occur with a different frequency than expected. the claim that (7)- The results are uniformly distributed. The result is dependent on the type of treatment. (3) Fail to reject (4) is not (5) (6) support (7) the result is independent of the type of treatment. reject the results occur with the same frequency as expected. the result is dependent on the type of treatment. the results are uniformly distributed. Reject the results occur with a different frequency than expected. IS is is not