One of the questions Rasmussen Reports included on a 2018 survey of 2.500 likely voters asked if the country is headed in the right direction. Representative data are shown in the file RightDirection. A response of Yes indicates that the respondent does think the country is headed in the right direction. A response of No indicates that the respondent does not think the country is headed in the right direction. Respondents may also give a response of Not Sure. 

a. What is the point estimate of the proportion of the population of likely voters who do think that the country is headed in the right direction? 

b. At 95% confidence, what is the margin of error? 

c. What is the 95% confidence interval for the proportion of likely voters who do think that the country is headed in the right direction? 

d. What is the 95% confidence interval for the proportion of likely voters who do not think that the country is headed in the right direction? 

e. Which of the confidence intervals in parts (c) and (d) has a smaller margin of error? Why?