1. A hospital management claims that the average number of patients treated in the emergency room per day is less than 39. A random sample of 52 days shows that an average of 36 patients were treated in the emergency room per day in this large hospital. The standard deviation of the sample is 7. At 5% level of significance, is there enough evidence to support the claim? Use the critical value approach.

2. In a random sample of 129 adults selected from a large suburban area, 97 said that they have received at least 1 dose of COVID-19 vaccine. Construct a 98% confidence interval for the proportion of all adults who have received at least 1 dose of COVID - 19 vaccine.