For questions 7-12, refer to the following information: Researchers conducted a study to determine the effects of progressive muscle relaxation exercises on the anxiety and sleep quality of patients with coronavirus disease 2019 (COVID?19). They collected data on 67 COVID?19 patients in the Infectious Diseases Clinic of a research hospital from May 2020 to August 2020. Patients were randomly assigned to either an experimental group (group 1) or a control group (group 2). The 33 patients in the experimental group performed the progressive muscle relaxation exercises twice a day for 5 days in accordance with an expert's advice. It took approximately 20-30?min to perform the exercises. The 34 patients in the control group did not receive any specific intervention, only routine care. On the State Anxiety Scale (SAS), which determines how people feel at a specific time and under specific conditions, the experimental group's mean posttest score was 44.67?with a standard deviation of?5.41. The control group's mean posttest score on the SAS was 61.29 with a standard deviation of?7.95. Using a 0.05 significance level, you need to test the claim that patients in the control group had significantly higher scores than patients in the experimental group. To do so, assume the population variances are not equal and answer each of the following questions.

1. What is the null hypothesis? (1 point)
   1.