If the value given in the table for Z = z is k: that is, pr(Z > z) is 1 - k, then the two-tailed probability of observing a value which is at least as extreme, ie Pr(|Z| > z) is 0.5*(1-k).
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The answer depends on whether the test is one-tailed or two-tailed.One-tailed: z = 1.28 Two-tailed: z = 1.64
2.58
z = 1.56 gives a 2-tailed interval for 88%.z = 1.56 gives a 2-tailed interval for 88%.z = 1.56 gives a 2-tailed interval for 88%.z = 1.56 gives a 2-tailed interval for 88%.
Z = ± 1.8119 gives a two-tailed interval of 93%
The answer will depend on whether the critical region is one-tailed or two-tailed.