Aleyla, an educator, would like to investigate whether students’ IQ have an effect on their exam scores. She also wants to determine if teaching strategy is associated with whether students pass or fail in the exam (exam result). She then randomly selected twenty students and conducted an IQ test. Further, she randomly assigned them to the two teaching strategies. The students’ exam scores were recorded. 1. Test at 5% level of significance if teaching strategy is associated with exam. Test Procedure: ______________ p-value: _______________ Decision: _____________________ Conclusion: At alpha = 0.05, ______________________________________________________________ 2. At 5% level of significance, test whether the exam scores are indeed linearly dependent on IQ. Ho: (in symbols)___; (in words) ____________________________________ Ha: (in symbols)___; (in words) ____________________________________ Test Procedure: _______________________________________ p-value: ____________________ Decision: ______________________ Conclusion: At alpha = 0.05, ______________________________________.
Aleyla, an educator, would like to investigate whether students’ IQ have an effect on their exam scores. She also wants to determine if teaching strategy is associated with whether students pass or fail in the exam (exam result). She then randomly selected twenty students and conducted an IQ test. Further, she randomly assigned them to the two teaching strategies. The students’ exam scores were recorded.
1. Test at 5% level of significance if teaching strategy is associated with exam.
Test Procedure: ______________
p-value: _______________
Decision: _____________________
Conclusion: At alpha = 0.05,
______________________________________________________________
2. At 5% level of significance, test whether the exam scores are indeed linearly dependent on IQ.
Ho: (in symbols)___; (in words) ____________________________________
Ha: (in symbols)___; (in words) ____________________________________
Test Procedure: _______________________________________
p-value: ____________________
Decision: ______________________
Conclusion: At alpha = 0.05, ______________________________________.
![Doornik-Hansen Test (Exam Scores vs IQ)
DH: 3.808173 p-value:
0.4325889
Correlation Coefficients between Exam Scores and IQ
Spearman's
Kendall's T =
0.6021854
Ha: not equal to 0
p-value = 0.0002619
Pearson's r
= 0.7403599
= 0.7680134
Ha: not equal to 0
Ha: not equal to 0
p-value
0.0001894
p-value = 0.0000768
Expected Frequencies of Strategy vs Exam Result
strategy FP
128
228
RcmdrMsg: [22] WARNING:
RcmdrMsg 2 expected frequencies are less than 5
Test of Independence between Strategy and Exam Result
Chi-Square p-
Fisher's Exact Test
value = 0.2636
p-value = 0.582
Regression of Exam Scores on IQ
Coefficients:
(Intercept)
Estimate Std. Error t value Pr(>|t|)
-23.9831
0.7955
20.5950 -1.165 0.259419
0.1703 4.673 0.000189 ***
iq
Signif. codes: **** 0.001 **** 0.01 0.05 0.1
Residual standard error: 8.92 on 18 degrees of freedom
Multiple R-squared: 0.5481, Adjusted R-squared: 0.523
F-statistic: 21.83 on 1 and 18 DF, p-value: 0.0001894](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbab0a92b-6c15-4a6e-b905-4c62b98e453e%2F581e6b84-52a1-4769-be5b-82180c16657b%2F7gnk5ur_processed.jpeg&w=3840&q=75)
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