# Chi-Square Test & Significance of Correlation

A - What is our decision regarding the differences between the observed and expected frequencies if the critical value of chi-square is 9.488 and the computed value is 6.079?

1 - The difference is probably due to sampling error and we should not reject the null hypothese.

2 - Not due to chance; reject the null hypothesis

3 - Not due to chance; do not reject the null hypothesis

4 - Too close; reserve judgment.

B - A hypothesis test that rho is zero is conducted at the 5% level of significance. If Spearman's rho is 0.86 for a sample of 15 observations, what is the computed value of the t statistic?

Â© BrainMass Inc. brainmass.com March 4, 2021, 10:48 pm ad1c9bdddfhttps://brainmass.com/statistics/chi-squared-test/chi-square-test-significance-correlation-364064

#### Solution Preview

Please see the attachment.

Assistance with statistics questions regarding chi-square & rho

I would appreciate help with the following questions/equations so I can understand the concepts.

A - What is our decision regarding the differences ...

#### Solution Summary

The solution provides step by step method for the calculation of test statistic for significance of correlation coefficient. Formula for the calculation is also included.