Last school year, the student body of a local university consisted of $30\%$ freshmen, $24\%$ sophomores, $26\%$ juniors, and $20\%$ seniors. A sample of $300$ students taken from this year's student body showed the following number of students in each classification.

$\backslash$table$[[$Freshmen$,83],[$Sophomores$,68],[$Juniors$,85],[$Seniors$,64]]$

We are interested in determining whether or not there has been a significant change in the classifications between the last school year and this school year.

$($a$)$ State the null and the alternative hypotheses.

$($b$)$ Compute the test statistic.

$($c$)$ Using the $p-$value approach, what is your conclusion? Let $=\mathrm{.}05.$