Uncontrolled hypertension is associated with an increased risk of heart disease, stroke, and mortality. Obstructive sleep apnea (OSA) is common in hypertension and treatment using continuous positive airway pressure (CPAP) has been shown to effectively lower blood pressure. Despite its clinical significance, OSA remains underdiagnosed in patients with hypertension, because the current standard of care to diagnose OSA is in-laboratory polysomnography, which is inconvenient and often inaccessible for high-risk populations. An alternative to in-laboratory polysomnography is home sleep apnea testing, which has been validated against in-laboratory polysomnography and may be more convenient, accessible, and potentially cost-effective. The objective of this study is to compare home sleep apnea testing to in-laboratory polysomnography in a randomized controlled trial. The investigators will assess whether the use of home sleep apnea testing, compared to use of in-laboratory polysomnography, leads to higher rates of OSA diagnosis and treatment using CPAP, a reduction in blood pressure, improved sleep-related outcomes, and greater patient satisfaction among patients with hypertension at 6 months. The investigators will also assess whether home testing is cost-effective.