In 2017, a survey asked 827 randomly sampled British people, "Do you support? Or do you oppose Brexit? Or do you not know enough to say?" Below is the distribution of responses, separated based on whether or not the respondent graduated from college.

College Grad

Yes No

Support 154 132

Oppose 180 126

Do not Know 104 131

(a) determine and interpret a 90% confidence interval of the difference for the college graduation rates between the Opposers and Supporters of Brexit (round the rates to 3rd decimal).

(b) Set up hypotheses to test whether there was a difference in college graduation rates between the Opposers and Supporters of Brexit.

(c) Compute the pooled proportion to calculate the standard error.

(d) Calculate the p-value for the hypothesis test and determine conclusion.