Ralph Carter is a high-school history teacher who says that if students are not aware of the Holocaust, then the curriculum should be revised to correct that deficiency. A Roper survey of 506 high-school students showed that 268 of them did not know that the term "Holocaust" refers to the Nazi killing of about 6 million Jews during World War II. Using the sample data and a 0.05 significance level, test the claim that most (more than 50%) students don't know what "Holocaust" refers to. Based on these results, should Ralph Carter seek revisions to the curriculum?
Test the given claim, and draw the appropriate graph. Use the traditional method or the P-value method of testing hypotheses (or your instructor may specify which method to use with assigned exercises). Assume that all samples have been randomly selected.