All | Internet | Exam | Collaborated | Cheater | Y | 23 | 16 | 23 | 48 | N | 67 | 74 | 67 | 42 | Total | 90 | 90 | 90 | 90 | Proportion Y | 25.6% | 17.8% | 25.6% | 53% | Proportion N | 74.4% | 82.2% | 74.4% | 47% | | | | | | | | Male | Internet | Exam | Collaborated | Cheater | Y | 16 | 9 | 13 | 27 | N | 31 | 38 | 34 | 20 | Total | 47 | 47 | 47 | 47 | Proportion Y | 34.0% | 19.1% | 27.7% | 57% | Proportion N | 66.0% | 80.9% | 72.3% | 43% | | | | | | Femal | Internet | Exam | Collaborated | Cheater | Y | 7 | 7 | 10 | 21 | N | 36 | 36 | 33 | 22 | Total | 43 | 43 | 43 | 43 | Proportion Y | 16.3% | 16.3% | 23.3% | 48.8% | Proportion N | 83.7% | 83.7% | 76.7% | 51.2% |
Number of students=90
Number of male students=47
Number of female students=43
2.
(1)95% confidence intervals for the proportion of all students:
Sample size=90, sample proportion=0.53, level significance is 0.05.
Standard Errors=^P (1-P)/n=0.0511
Z-socre=1.9600
Width of the confidence interval=z*se=0.1002
Lower Limit of the confidence interval=p-width=0.4298
Upper Limit of the confidence interval=p+width=0.6302
The confidence interval for the proportion of all students is 0.43 to 0.63.
(2) 95% confidence intervals for the proportion of male students:
Sample size=47, sample proportion=0.57, level significance is 0.05.
Standard Errors=^P (1-P)/n=0.0722
Z-socre=1.9600
Width of the confidence interval=z*se=0.1415
Lower Limit of the confidence interval=p-width=0.4285
Upper Limit of the confidence interval=p+width=0.7115
The confidence interval for the proportion of all students is 0.43 to 0.71.
(3) 95% confidence intervals for the proportion of female students:
Sample size=43, sample proportion=0.488, level significance is 0.05.
Standard Errors=^P (1-P)/n=0.0762
Z-socre=1.9600
Width of the confidence interval=z*se=0.1494
Lower Limit of the