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For a hypothesis test of H 0 :p 1 p 2 = 0 against the alternative H a :p 1 p 2 0

ID: 3063649 • Letter: F

Question

For a hypothesis test of H0:p1 p2 = 0 against the alternative Ha:p1 p2 0, the test statistic is found to be 3.31. Which of the following statements can you make about this finding? (4 points)

The result is significant at both = 0.05 and = 0.01.

The result is significant at = 0.05 but not at = 0.01.

The result is significant at = 0.01 but not at = 0.05.

The result is not significant at either = 0.05 or = 0.01.

The result is inconclusive because we don't know the value of p.

The result is significant at both = 0.05 and = 0.01.

The result is significant at = 0.05 but not at = 0.01.

The result is significant at = 0.01 but not at = 0.05.

The result is not significant at either = 0.05 or = 0.01.

The result is inconclusive because we don't know the value of p.

Explanation / Answer

Two tailed p - value corresponding to z = 3.31 is:

p - Value = 2*P(z > 3.31) = 2*0.0005 = 0.0010

Hence,

The result is significant at both = 0.05 and = 0.01.

Option A is correct.

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