Researchers are comparing the proportion of Penn State University Park students who are Pennsylvania residents to the proportion of Penn State World Campus students who are Pennsylvania residents. Data from a random sample are presented in the contingency table below:
Pennsylvania State Residency by Campus
Researchers are comparing the proportion of Penn State University Park students who are Pennsylvania residents to the proportion of Penn State World Campus students who are Pennsylvania residents. Data from a random sample are presented in the contingency table below:
| Contingency Table | Primary Campus | |||
|---|---|---|---|---|
| university park | world campus | |||
| PA resident? | Yes | 114 | 57 | |
| No | 96 | 89 |
Use the five-step hypothesis testing procedure given below to determine if there is evidence of a difference between the proportion of University Park students who are Pennsylvania residents and the proportion of World Campus students who are Pennsylvania residents. If assumptions are met, use the normal approximation method. Use Minitab; you should not need to do any hand calculations.
Remember to upload all relevant Minitab output and to clearly identify your answers
Step 1: Check assumptions and write hypotheses.
Step 2: Calculate the test statistic.
Step 3: Determine the p value.
Step 4: Decide to reject or fail to reject the null.
Step 5: State a “real world” conclusion.
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