1500 Americans were asked if they thought the country was headed in the right direction and 45% of respondents in that poll responded "yes\". We'd like to test if this is good evidence that fewer than half of all Americans think that the country is headed in the right direction. a. State the null and alternative hypotheses in correct notation. b. What is a Type E error in the context of this problem? c. What is a Type II error in the context of this problem? d. Conduct the hypothesis test to see if this is good evidence that fewer than half of all Americans think that the country is headed in the right direction