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12. For each of the following situations, find the critical value for z a) Hoff 0.05 vs. HA:p > 0.05 at α 0.05. b) Ho:p 0.6 vs. HAip 0.6 at α 0.01. c) Ho:p 0.5 vs. HAP < 0.5 at α 0.01; n 500. d) Ho: 0.2 vs. HA:p < 0.2 at α 0.01 .
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12. (a) Right one-tailed critical value at the level of significance α-005 is Za Zoos-1.645 From standard normal area tables P(Z <1.645 ) = 0.05. (b)Two-tailed critical values at the level of significance α-0.01 are Za2L22.58 and Za Z 2.58. From standard normal area tables P(Z < 2.58) = 0.005. (c) Left one-tailed critical value at the level of significance α 0.01 is From standard normal area tables P(Z<2.33)-0.005 (d) Left one-tailed critical value at the level of significance α 0.01 is From standard normal area tables P(Z <2.33)-0.005.

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