One of the questions Rasmussen Reports included on a 2018 surveyof 2,500 likely voters asked if the country is headed in rightdirection. Representative data are shown in the DATAfile namedRightDirection. A response of Yes indicates that the respondentdoes think the country is headed in the right direction. A responseof No indicates that the respondent does not think the country isheaded in the right direction. Respondents may also give a responseof Not Sure.

(a)What is the point estimate of the proportion of thepopulation of respondents who do think that the country is headedin the right direction? (Round your answer to four decimalplaces.)

(b)At 95% confidence, what is the margin of error for theproportion of respondents who do think that the country is headedin the right direction? (Round your answer to four decimalplaces.)

(c)What is the 95% confidence interval for the proportion ofrespondents who do think that the country is headed in the rightdirection? (Round your answers to four decimal places.)

___to ___

(d)What is the 95% confidence interval for the proportion ofrespondents who do not think that the country is headed in theright direction? (Round your answers to four decimal places.)

____ to ____

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

The confidence interval in part (c) has a (Smaller or Larger)margin of error than the confidence interval in part (d). This isbecause the sample proportion of respondents who do think that thecountry is headed in the right direction is  (closer to.5 / closer to 1 / farther from .5 / farther from 1) than thesample proportion of respondents who do not think that the countryis headed in the right direction.

Dataset:

553 - No

70 - Not Sure

384 - Yes