following distribution of favorite class subjects for high school students. Class Subject Math English Social Studies Physical Education Music Other Percentage 5% 14% 28% 26% 20% 7% Pasquale, a student from a high school of 1,200 students, wants to see whether the distribution
A national publication showed the following distribution of favorite class subjects for high school students.
| Class Subject | Math | English | Social Studies | Physical Education | Music | Other |
| Percentage | 5% | 14% | 28% | 26% | 20% | 7% |
Pasquale, a student from a high school of 1,200 students, wants to see whether the distribution at his school matches that of the publication. He stands at the school entrance in the morning and asks the first 40 students he sees what their favorite class is. Pasquale records the following table of observed values.
| Class Subject | Math | English | Social Studies | Physical Education | Music | Other |
| Observed | 7 | 8 | 7 | 6 | 6 | 6 |
He decides to conduct a chi-square goodness-of-fit test to see whether his high school's distribution differs significantly from that of the publication. Pasquale’s statistics teacher tells him that his information does not meet the conditions necessary for a goodness-of-fit test. Which condition has not been met?
- Data are collected using a random sample or randomized experiment
- n≤0.10Nn≤0.10N
- All expected counts are greater than 5.
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