GROUP TASK #16: Chi-Square Tests
For each of the following statistical tests, use an
a priori</95% confidence level.
In a survey of orchestral works it was found that 70 percent include an oboe as part of the orchestration. A music scholar finds that composer A uses an oboe in only 10 of 22 orchestral works (just 45%). Is this a statistically significant difference?
A music scholar finds that a sample of Italian baroque music shows 51 works in major keys and 9 works in minor keys. In a diverse sample of baroque music from many European countries (including Italy), 480 works were found to be in major keys and 210 works in minor keys. Compared with their European colleagues, did Italian baroque composers tend to favor works in major keys?
An ethnomusicologist finds that just 130 of 220 Xhosa listeners say they prefer bumbuju rhythms to nobuju rhythms. In one Xhosa village however, 15 of 19 people say they prefer bumbuju. Can we claim that the members of this village differ significantly from other Xhosa in their rhythmic preferences?