A recent study investigated ir the distribution of gender is the same across all scademic ranks. Data were collected by taking a random sample of individuals from within esch academic rank and then recording esch individuals gender. Use the output below to conduct the appropriste hypothesis test. Use a 0.05 level of significance. a. Name of the hypothesis test b. Null and alternative hypotheses e Test Statistic value

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1. A recent study investigated ir the distribution of gender is the same scross all scademic ranks. Dats
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 appropriste hypothesis
test. Use a 0.05 level of significance.
a. Name of the hypothesis test
b. Null and alternative hypotheses
c. Test Statistic value
d. p-value
e. decision based on the p-value
The SAS System
The FREQ Procedure
Frequency
Table of gender by career
Percent
gender career
Instructor Assistant Prof Associate Prof Full Prof Total
Row Pct
Col Pct
Female 12
15
18
52
8.00
10.00
12.00
4.67
34.67
23.08
28.85
34.62
13.45
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 Coetficient
0.1087
Contingency Coefficient
0.1081
Cramer's V
0.1087
Transcribed Image Text:1. A recent study investigated ir the distribution of gender is the same scross all scademic ranks. Dats 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 appropriste hypothesis test. Use a 0.05 level of significance. a. Name of the hypothesis test b. Null and alternative hypotheses c. Test Statistic value d. p-value e. decision based on the p-value The SAS System The FREQ Procedure Frequency Table of gender by career Percent gender career Instructor Assistant Prof Associate Prof Full Prof Total Row Pct Col Pct Female 12 15 18 52 8.00 10.00 12.00 4.67 34.67 23.08 28.85 34.62 13.45 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 Coetficient 0.1087 Contingency Coefficient 0.1081 Cramer's V 0.1087
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