In: Statistics and Probability
The chairman of the local Democratic Party believes that more than 75% of the freshmen who have just arrived on campus have registered to vote in the upcoming election. Since it would be difficult to question all of the freshmen to determine the actual percentage, a random sample of 64 students was interviewed. Of these, 43 indicated that they are registered to vote.
At the .05 level of significance, is the assumption that more than 75% are registered still valid? You must state the hypotheses, a decision rule and a full conclusion for this problem. Use the Decision Rule method.