(See Steps) Expand Your Knowledge: Sample Size and Significance of Correlation In this problem we use Table 4-4 to explore the significance of r based on


Question: Expand Your Knowledge: Sample Size and Significance of Correlation In this problem we use Table 4-4 to explore the significance of \(r\) based on different sample sizes. See Problem 15 .

  1. Is a sample correlation coefficient \(r=0.820\) significant at the \(\alpha=0.01\) level based on a sample size of \(n=7\) data pairs? What about \(n=9\) data pairs?
  2. Is a sample correlation coefficient \(r=0.40\) significant at the \(\alpha=0.05\) level based on a sample size of \(n=20\) data pairs? What about \(n=27\) data pairs?
  3. Is it true that in order to be significant, an \(r\) value must be larger than 0.90? larger than 0.70? larger than 0.50? What does sample size have to do with the significance of \(r\) ? Explain.

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