It Has Been Conjectured That Two-Thirds of All Students Have $p$

It has been conjectured that two-thirds of all students have an active, as opposed to reflective, learning style. Data are available from a large sample of introductory statistics students at a public university in the eastern United States, who took a survey that assessed their learning style as active or reflective. Of the 962 students who participated, 596 were diagnosed as active learners and 366 as reflective learners. Use these sample data to conduct a significance test of the conjecture that two-thirds of all students have an active learning style. Report the hypotheses, test statistic, and $p$ -value. Include a check of technical conditions. Also indicate your test decision at the $\alpha=.05$ significance level, and summarize your conclusion in context.