(a) Suppose n= 6 and the sample correlation coefficient is r= 0.892. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) critical t Conclusion: O Yes, the correlation coefficient p is significantly different from 0 at the 0.01 level of significance. O No, the correlation coefficient p is not significantly different from 0 at the 0.01 level of significance. (b) Suppose n 10 and the sample correlation coefficient is r- 0.892. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t- critical t Conclusion: O Yes, the correlation coefficient p is significantly different from 0 at the 0.01 level of significance. O No, the correlation coefficient p is not significantly different from 0 at the 0.01 level of significance. important role in determining the significance of a correlation coefficient? Explai (c) Explain why the test results of parts (a) and (b) are different even though the sample correlation coefficient r= 0.892 is the same in both parts. Does it appear that sample size plays O As n increases, so do the degrees of freedom, and the test statistic. This produces a smaller P value. O As n increases, the degrees of freedom and the test statistic decrease. This produces a smaller P value. O As n decreases, the degrees of freedom and the test statistic increase. This produces a smaller P value. O As n increases, so do the degrees freedom, and the test statistic. This produces a larger P value.

You wish to determine if there is a linear correlation between the two variables at a significance level of a = 0.01. You have the following bivariate data set. X y 64.4 45.7 43.9 165.3 63.9 -15.5 65.5 12.6 64 73.9 63 25.9 59.9 34.8 45.1 99.2 What is the critival value for this hypothesis test? rc.v. = What is the correlation coefficient for this data set? r = Your final conclusion is that... O There is insufficient sample evidence to support the claim the there is a correlation between the two variables. There is sufficient sample evidence to support the claim that there is a statistically significant correlation between the two variables.

How would I interpret the output of a SPSS table, and transform this output into narrative form (as you would with the Results section of a research paper)

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