A national publication showed the following distribution of favorite class subjects for high school students. Music
Other
Math
Social Studies
Class Subject
Percentage
English
141
Physical Education
26%
205
7%
5%
28%
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.
Submit
Other
Math
English
Physical Education
Social Studies
Class Subject
Observed
Music
6
6
8
6
7
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?
1. Data are collected using a random sample or randomized experiment
IL n < 0.10N
III. All expected counts are greater than 5