Random Samples of Students Were Compared to See Whether or Not

Essay

Random samples of students were compared to see whether or not there was a difference in the proportion favoring the university's proposed switch from MWF (three-day) classes to MW and TR (two-day) classes. The results shown below are from MegaStat. Analyze these results thoroughly.
Hypothesis test for two independent proportions
$\begin{array} { r r r l l } \text { Residents } & \text { Commuters } & p _ { c } & \\ 0.400 & 0.600 & 0.500 & \mathrm { p } \text { (as decimal) } \\ 80 / 200 & 120 / 200 & 200 / 400 & \mathrm { p } \text { (as fraction) } \\ 80 . & 120 . & 200 & \mathrm { X } \\ 200 & 200 & 400 & \mathrm { n } \end{array}$


$- 0.200$$\quad$ difference
$0.000$ $\quad$ hypothesized difference
$0.050$ $\quad$ std. error
$- 4.000$$\quad$ z
$.0001$ $\quad$ p-value (two-tailed)