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 8 7 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? 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
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Question 9 D
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 distributión 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.
A
I only
B
II only
**
SC
20
F3
000
F1
F2
000
F4
F5
F6
F7
F8
F9
F10
F11
@
#
$
%
&
2
3
4
5
8
9
10
Transcribed Image Text:Question 9 D 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 distributión 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. A I only B II only ** SC 20 F3 000 F1 F2 000 F4 F5 F6 F7 F8 F9 F10 F11 @ # $ % & 2 3 4 5 8 9 10
Question 7 W
A bag of candy contains 5 different types of colored candies; red, green, blue, yellow, and orange. According to the manufacturer, bags should contain an equal number of each
color. Students in a statistics class decided to use a chi-square procedure to test the manufacturer's claim. They opened a bag of candy and recorded the number of candies of each
color. The results are shown in the following table.
Red
Green
Blue
Yellow
Orange
17
24
20
25
14
Which color contributes most to the chi-square test statistic?
A
Red
Green
C
Blue
Yellow
E
Orange
80
000
000
F2
F3
F4
F5
F6
F7
F8
F9
F10
$
4
#
%
&
1
2
3
5
6
7
8
9
Transcribed Image Text:Question 7 W A bag of candy contains 5 different types of colored candies; red, green, blue, yellow, and orange. According to the manufacturer, bags should contain an equal number of each color. Students in a statistics class decided to use a chi-square procedure to test the manufacturer's claim. They opened a bag of candy and recorded the number of candies of each color. The results are shown in the following table. Red Green Blue Yellow Orange 17 24 20 25 14 Which color contributes most to the chi-square test statistic? A Red Green C Blue Yellow E Orange 80 000 000 F2 F3 F4 F5 F6 F7 F8 F9 F10 $ 4 # % & 1 2 3 5 6 7 8 9
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