# 5.5.1 - Single Proportion Example: PA Residency

5.5.1 - Single Proportion Example: PA ResidencyThis example uses data collected from World Campus STAT 200 students at the beginning of the Fall 2016 semester. You can download this Minitab file here: fall2016stdata.mpx

**Research question**: Are less than half of all World Campus STAT 200 students Pennsylvania residents?

This research question is asking if there is evidence that the population proportion is less than 0.50 which can be translated to the following hypotheses:

\(H_0: p=0.50\)

\(H_a: p \lt 0.50\)

**Step 1**: We are comparing the proportion in one group to 0.50. This is a one sample proportion test.

\(H_0: p=0.50\)

\(H_a: p \lt 0.50\)

**Step 2**: We used StatKey to construct a randomization distribution.

**Step 3**: \(p<0.001\)

**Step 4**: \(p \leq 0.05\), reject the null hypothesis

**Step 5**: There is evidence that the proportion of all World Campus STAT 200 students who are Pennsylvania residents is less than 0.50.