solve and show work

Example 2: The energy Information Administration reported that 51.7% of homes in the U.S. were heated by natural gas. A random sample of 200 homes found that 57.5% were heated by natural gas. At a = 0.02, is there sufficient evidence to show that the reported proportion of 51.7% is inaccurate? a) Ho= b) Ha= c) State the distribution used for this hypothesis test. d) p - value = e) Conclusion: f) What would type I error be for this test? g) What would type II error be for this test