Question

In: Statistics and Probability

1. You are provided a sample of data on a criterion variable Y and predictor variable...

1. You are provided a sample of data on a criterion variable Y and predictor variable X for which 4 distinct subgroups can be identified. Based on these data, you calculate the sample correlation coefficients in the table to the right ==>

Group Sample Corr. Coeff. Sample Sizes
1 0.215 97
2 0.351 86
3 0.277 73
4 0.591 91
Provide a test of the null hypothesis that the population correlation coefficients are equal across these four groups against the alternative the H0 is not true:
a. Calculated Chi-Square statistic
b. Critical (upper) Chi-Square for α=5%
c. Conclusion for α=5%
d. Critical (upper) Chi-Square for α=1%
e. Conclusion for α=1%

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