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 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? I. Data are collected using a random sample or randomized experiment II. n< 0.10N III. All expected counts are greater than 5.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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
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?
I. Data are collected using a random sample or randomized experiment
II. n< 0.10N
III. All expected counts are greater than 5.
Transcribed Image Text: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 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? I. Data are collected using a random sample or randomized experiment II. n< 0.10N III. All expected counts are greater than 5.
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