In a 2017 class project, two team members each approached 50 students on campus (randomly selected using systematic sampling). Each student was asked to participate in a survey, but the survey itself was a ruse: the real goal was to see who would agree to be surveyed by Melissa (who has a British accent) or Kristine (an American accent). In the end, 41 of 50 students agreed to be surveyed by Melissa, while 27 of 50 took Kristine’s (fake) survey.

a. Test the hypothesis of equal population proportions at the .01 significance level. Find the P-value for the test, and interpret your results. Be sure to clearly define your parameters!
b. Can it be concluded that there is a causal relationship between interviewer’s accent and willingness to be surveyed? Explain.