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BIOSTATISTICS 307 ASSIGNMENT ANSWERS
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Are in search of Biostatistics 307 assignment Answers, see below for more. Today, we will be updating you on how to solve a problem on chi-square (biostatistics II).
The biostatistics assignments answers is based on 1% significant difference which you can use the same method of solving for other significant differences.
COVER PAGE SAMPLE
NAME
……………………………………..
MATRIC NO
BSU/SC/……………………….
COURSE OF STUDY
…………………………………..
DEPARTMENT
Biological Sciences
COURSE CODE
BIO 307 (Biostatistics II)
ASSIGNMENT
Violence and lack of discipline have become major problem in BSU Makurdi. A random sample of 300 adults was selected and these adults were asked if they favor giving more freedom to lecturers to punish student for lack of discipline and violence. The two way classification of responses of the adult is presented in the table below:
Gender | In favor | Against | No opinion |
Men | 93 | 70 | 12 |
Women | 87 | 32 | 0.6 |
Does the sample provide sufficient evidence to conclude that the two attribute, gender and opinion of adults are dependent. Use 1% significance level to make a decision
Solution
Stating hypothesis:
Ho = The two attribute, gender and opinion of adults are dependent.
HA = The two attribute, gender and opinion of adults are not dependent.
Gender | In favor | Against | No opinion | Total |
Men | 93 | 70 | 12 | 175 |
Women | 87 | 32 | 0.6 | 125 |
Total | 180 | 102 | 18 | 300 (Grand Total) |
E = Total of row X Total Column
Grand Total
Expected value For men in favor = 175 x 180 = 105
300
Expected value for Men against = 175 x 102 = 59.5
300
Expected value for Men on Opinion = 175 x 18 = 10.5
300
Women in favor = 125 x 180 = 75
300
Women against = 125 x 102 = 42.5
300
Women no opinion = 125 x 18 = 7.5
300
Gender | Decision | Observed (O) | Expected (E) | O – E | (O-E)2 | (O –E)2/E |
Men (M) | In favor | 93 | 105 | -12 | 144 | 1.37 |
Men | Against | 70 | 59.5 | 10.5 | 110.25 | 1.85 |
Men | No opinion | 12 | 10.5 | 1.5 | 2. 25 | 0.21 |
Women | In favor | 87 | 75 | 12 | 144 | 1.92 |
Women | Against | 32 | 42.5 | -10.5 | 110.25 | 2.59 |
Women | No opinion | 6 | 7.5 | -1.5 | 2.25 | 0.30 |
From the chi-square formula
X2 Calculated = 8.24
DF = (R – 1) (C – 1)
= (2 – 1) (3 – 1)
= 2
Conclusion
Using 5 % significance
Since, the tabulated value 5.991 is less than the calculated value 8.24 we reject Ho
Using 1% significance
Hence, calculated value is 8.24 less than the tabulated value 9.210 we accept HO
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