Scenario: In a study looking at undergraduate students' perceptions of sense of community at their university, a researcher hypothesizes that the farther away students live from campus (in miles), the less they feel they are part of the university community. The researcher collected data for the following two variables - miles from campus and part of community (rating from 1-10 of how much they felt part of the university community).

Datafile: community.xlsx

Proposed analysis and why you chose the analysis: (1 mark)

Scales of measurement (i.e., nominal, ordinal, interval or ratio) for variable(s) that will be used in the analysis: (1 mark)

Null and alternative hypotheses (based on context of study) in symbols: (1 mark)

Test assumptions and make a decision (please provide written evidence to support your decision): (1 mark)

Inferential statistic(s) and p-value(s): (1 mark)

Decision: (1 mark)

Conclusion: (2 marks)

Based on your decision, identify and explain the type of error you could be making with respect to the conclusions of the study (1 mark)