c. What is the chi-square statistic? Show all your work. d. How many degrees of freedom are there in the analysis? What is the critical value of the chi-square test of independence for significance level = 0.05? e. How do you conclude your finding?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Table 1
Chi-Square Results of the Percent of Students Exhibiting Each Quantitity-
Frequency Level for ALL STUDENTS, and for DRINKERS ONLY within
Personal Demographic Characteristics".
ALL STUDENTS
Gender
Males
Females
Race
a
White
Non-White
Age
Under 21
Over 21
Religious
Background
Catholic
Jewish
Protestant,
drinkers
Protestant,
non-
drinkers
Importance
of Religion
Very
Not
#
A
9862
1921
4641
21.8
44.5
7440 30.9 56.7
23.5
45.6
L/M
3844 15.6
234 15.8
6931 30.2 47.7
5068 23.7
57.7
53.3
45.8
56.4
59.8
3301 22.4 56.4
7923 32.9
3985
2594 48.0 40.4
50.4
16.0 55.4
H
23.2*
8.6
33.7* 3630
12.4
5071
22.1*
18.6
28.0*
24.4
21.1
DRINKERS ONLY
11.6
#
4841
3868
L/M
7544 69.6
1045
84.1
56.9
82.1
1348
68.4
75.6
3244 66.8
197
71.1
2561 72.7
77.7
16.7* 5315 75.1
28.7 3348 65.9
# = Number of students, A-Abstain, L/M=Light/Moderate, H = Heavy
*
H
43.1*
17.9
30.4*
15.9
31.6*
24.4
33.2*
28.9
27.3
22.3
24.9*34.1
p<.001 +p<.05
Note: sample size in each category does not necessarily add up to the total sample
due to missing date for each analysis.
Transcribed Image Text:Table 1 Chi-Square Results of the Percent of Students Exhibiting Each Quantitity- Frequency Level for ALL STUDENTS, and for DRINKERS ONLY within Personal Demographic Characteristics". ALL STUDENTS Gender Males Females Race a White Non-White Age Under 21 Over 21 Religious Background Catholic Jewish Protestant, drinkers Protestant, non- drinkers Importance of Religion Very Not # A 9862 1921 4641 21.8 44.5 7440 30.9 56.7 23.5 45.6 L/M 3844 15.6 234 15.8 6931 30.2 47.7 5068 23.7 57.7 53.3 45.8 56.4 59.8 3301 22.4 56.4 7923 32.9 3985 2594 48.0 40.4 50.4 16.0 55.4 H 23.2* 8.6 33.7* 3630 12.4 5071 22.1* 18.6 28.0* 24.4 21.1 DRINKERS ONLY 11.6 # 4841 3868 L/M 7544 69.6 1045 84.1 56.9 82.1 1348 68.4 75.6 3244 66.8 197 71.1 2561 72.7 77.7 16.7* 5315 75.1 28.7 3348 65.9 # = Number of students, A-Abstain, L/M=Light/Moderate, H = Heavy * H 43.1* 17.9 30.4* 15.9 31.6* 24.4 33.2* 28.9 27.3 22.3 24.9*34.1 p<.001 +p<.05 Note: sample size in each category does not necessarily add up to the total sample due to missing date for each analysis.
b. Fill in the blanks below with expected frequencies (round to the second decimal places).
Gender
Males
Females
e.
A
1271.83
2038.87
c. What is the chi-square statistic? Show all your work.
All Students
L/M
2413.94
3869.79
H
955.24
1531.34
d. How many degrees of freedom are there in the analysis? What is the critical value of the
chi-square test of independence for significance level = 0.05?
How do you conclude your finding?
Transcribed Image Text:b. Fill in the blanks below with expected frequencies (round to the second decimal places). Gender Males Females e. A 1271.83 2038.87 c. What is the chi-square statistic? Show all your work. All Students L/M 2413.94 3869.79 H 955.24 1531.34 d. How many degrees of freedom are there in the analysis? What is the critical value of the chi-square test of independence for significance level = 0.05? How do you conclude your finding?
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