Solution:
Since two-tailed test,
2P(Z>=z) = 0.0078
P(Z>=z)= 0.0039
From normal probability table;
1-P(Z<=z) = 0.0039
P(Z<=z) = 0.9961
=> P(Z<=2.66 ) = 0.9961
Therefore, the test statistic is 2.66.
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