63. A sample of n 500 (x, y) pairs was collected and a test of H0:...

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63. A sample of n 500 (x, y) pairs was collected and a test of H0: r 0 versus Ha: r 0 was carried out.

The resulting P-value was computed to be .00032.

a. What conclusion would be appropriate at level of signi cance .001?

b. Does this small P-value indicate a very strong relationship between x and y (a value of r that differs considerably from 0)? Explain.

c. Now suppose a sample of n 10,000 (x, y) pairs resulted in r .022. Test H0: r 0 versus Ha:

r 0 at level .05. Is the result statistically signi cant? Comment on the practical signicance of your analysis.

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