he FREQ Procedure Frequency Table of gender by career Percent gender career Row Pct Instructor Assistant Prof Associate Prof Full Prof Total Col Pct Female 12 15 18 52 8.00 10.00 12.00 4.67 34.67 23.08 28.85 34.62 13.46 36.36 37.50 37.50 24.14 Male 21 25 30 22 98 14.00 16.67 20.00 14.67 65.33 21.43 25.51 30.61 22.45 63.64 62.50 62.50 75.86 Total 33 40 48 29 150 22.00 26.67 32.00 19.33 100.00 Statistics for Table of gender by career Statistic DF Value Prob Chi-Square 3 1.7733 0.6208 Likelihood Ratio Chi-Square 3 1.8561 0.6028 Mantel-Haenszel Chi-Square 1 0.7649 0.3818 Phi Coefficient 0.1087 Contingency Coefficient 0.1081 Cramer's V 0.1087

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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  1. A recent study investigated if the distribution of gender is the same across all academic ranks. Data were collected by taking a random sample of individuals from within each academic rank and then recording each individuals gender. Use the output below to conduct the appropriate hypothesis test. Use a 0.05 level of significance.
  2.  
  3. Null and alternative hypotheses
  4. Test Statistic value
  5. p-value
  6. decision based on the p-value
The SAS System
The FREQ Procedure
Frequency Table of gender by career
Percent
gender career
Row Pct
Instructor Assistant Prof Associate Prof Full Prof Total
Col Pct
Female 12
15
18
7
52
8.00
10.00
12.00
4.67
34.67
23.08
28.85
34.62
13.46
36.36
37.50
37.50
24.14
Male
21
25
30
22
98
14.00
16.67
20.00
14.67
65.33
21.43
25.51
30.61
22.45
63.64
62.50
62.50
75.86
Total
33
40
48
29
150
22.00
26.67
32.00
19.33
100.00
Statistics for Table of gender by career
Statistic
DF Value Prob
Chi-Square
3 1.7733 0.6208
Likelihood Ratio Chi-Square 3 1.8561 0.6028
Mantel-Haenszel Chi-Square 1 0.7649 0.3818
Phi Coefficient
0.1087
Contingency Coefficient
0.1081
Cramer's V
0.1087
Transcribed Image Text:The SAS System The FREQ Procedure Frequency Table of gender by career Percent gender career Row Pct Instructor Assistant Prof Associate Prof Full Prof Total Col Pct Female 12 15 18 7 52 8.00 10.00 12.00 4.67 34.67 23.08 28.85 34.62 13.46 36.36 37.50 37.50 24.14 Male 21 25 30 22 98 14.00 16.67 20.00 14.67 65.33 21.43 25.51 30.61 22.45 63.64 62.50 62.50 75.86 Total 33 40 48 29 150 22.00 26.67 32.00 19.33 100.00 Statistics for Table of gender by career Statistic DF Value Prob Chi-Square 3 1.7733 0.6208 Likelihood Ratio Chi-Square 3 1.8561 0.6028 Mantel-Haenszel Chi-Square 1 0.7649 0.3818 Phi Coefficient 0.1087 Contingency Coefficient 0.1081 Cramer's V 0.1087
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