Question

The correlation coefficient (r) for 19 pairs of data was calculated to be 0.510. Using s =.05 and Table I, do we conclude that there is a significant relationship between the variables?

A contingency table with 3 rows and columns would have how many degrees of freedom?

( T / F ) If a correlation coefficient is negative, this indicates there is no relationship between the variables.

( T / F ) The Chi-Square distribution can be used to test hypotheses concerning homogeneity of proportions.

Answer 1

1) r=0.510

n=no. Of pairs= 19

Then degrees of freedom= 19-2=17

r table value at 0.05 with degree of freedom 17 is 0.456.

Since, 0.510 is greater than 0.456 so r is significant.

Hence,we can conclude there is significant relationship between the variables.

2) A contingency table with three rows and columns have degrees of freedom: (3-1)*(3-1)=4.

3) if a correlation coefficient is negative this indicates there is no relationship between the variables - is false.

4)the chi-square distribution can be used to test the hypotheses concerning homogeneity of proportions - is true.