part 1: Recidivism occurs when a person continues to commit criminal behavior even after having been punished.A prison official wants to estimate the proportion of cases of recidivism. Examining the records of 250 convicts, the official determines that there are 65 cases of recidivism.Construct a99% confidence interval for the proportion of cases of recidivism.

Part 2: Americans today are increasingly connected to the world of digital information while "on the go" via mobile devices. T-Mobile has the business objective of wanting to determine the proportion of subscribers who would upgrade to a new cellphone with improved features if it were made available at substantially reduced cost.Data are collected from a random sample of 400 subscribers.The results indicate that 120 of the subscribers would upgrade to a new cellphone at a reduced cost.At the 0.05 level of significance, is there evidence to suggest that more than 25% of the customers would upgrade to a new cellphone at a reduced cost.

Determine the appropriate null and alternative hypothesis.