Conduct both a Fisher's exact test and a chi-square test for the following dataset using R programming. Complete it as an R Markdown file and knitted as an HTML file.

RECURRENT TREATMENT THROMBOEMBOLISM NO RECURRENCE TOTAL Placebo 73 756 829 Apixaban (2.5 mg twice a day) 14 826 840 Total 87 1,582 1,669 Table 27.1. Data from the Agnelli et al. (2012) apixaban study. Each value is an actual number of patients