The true proportion of all Americans who are in favor of gun control legislation using a 90% confidence interval is 0.5754.
Here is the calculation:
- P∧= 2250/4000= 0.5625
- б= 0.00784
- E= 1.645 ×0.0784= 0.0129
- p∧±E = 0.5625- 0.0129 = 0.5496 lower
- upper : 0.5625 + 0.0129 = 0.5754.
- The true proportion of all Americans who are in favor of gun control legislation using a 90% confidence interval is between 0.5496 lower -0.5754 upper.
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