Question

The Affordable Care Act (ACA) signed into law by President Barrack Obama in 2010 was the most significant regulatory reform of the United States healthcare system since the passage of Medicare and Medicaid in 1965. The law was designed to expand insurance coverage and reduce the costs of health care. Some elements of the law such are banning insurance companies from denying coverage to people with pre-existing conditions are popular while other provisions such as the individual mandate are unpopular. Opinions on the law vary with some wanting to keep the law as it it, others favor fixing the law and some favor repealing the law in its entirity. The middle position has been gaining traction recently and in a Rasmussen Reports poll conducted January 5, 2017, 515 out of 920 randomly selected likely voters want Congress and the President to fix the law a piece at a time.

1. Find the point estimate for the proportion of Americans who want Congress and the President to fix the law a piece at a time. Round your answer to 4 decimal places.
   
   
   
2. Find the margin of error for a 95% confidence interval. (ound your answer to 4 decimal places.
   
   
   
3. Construct the 95% confidence interval for the proportion of Americans who want Congress and the President to fix the law a piece at a time. Enter your answer as an open interval of the form (a,b) and round to 3 decimal places.
   
   
   
4. Can you conclude that more than half of Americans want Congress and the President to fix the law a piece at a time?
   • No conclusions can be drawn since the confidence interval contains 0.50.
   • Yes, the entire confidence is above 0.50.
   • No, the entire confidence interval is below 0.50.

Answer 1

Answer Date: 13/11/2019 The point estimate for the proportion of Americans who want Congress and the President to fix the law a piece at a time is, P=1 515 920 = 0.5598 The point estimate for the proportion of Americans who want Congress and the President to fix the law a piece at a time is 10.5598). b) The margin of error for a 95% confidence interval is,

First, compute the z-critical value then find margin of error. The Z-critical value is, From the standard normal table, the z-critical value at 95% confidence is 1.960. P(1-7) E = zcx 0.5598(1 -0.5598) =1.960 x V 920 = 0.0321 The margin of error for a 95% confidence interval is 0.0321). The 95% confidence interval for the proportion of Americans who want Congress and the President to fix the law a piece at a time is,

95%C.I. = PEE = 0.5598 +0.0321 = 0.5277 to 0.5919 = 0.528 to 0.592 The 95% confidence interval for the proportion of Americans who want Congress and the President to fix the law a piece at a time is 0.528 to 0.592). d) The 95% confidence interval for the proportion of Americans who want Congress and the President to fix the law a piece at a time is between 0.528 and 0.592 does not include 0.50, it can conclude that the proportion of Americans want Congress and the President to fix the law a piece at a time is more than 50%. The entire confidence is above 0.50. The answer option is 2.