K very painful "cluster" headaches, 158 patients were treated with oxygen and 142 other patients were given a placebo consisting of ordinary air. Among the 158 patients in the oxygen treatment group, 123 were free from headaches 15 minutes after treatment. Among the 142 patients given the placebo, 29 were free from headaches 15 minutes after treatment. Use a 0.01 significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below. Uri 2 P2 H₁: P₁ OD. Ho: P1 P₂ H₁: P₁ P₂ Identify the test statistic. z = 9.93 (Round to two decimal places as needed.) Identify the P-value. P-value=0.506 (Round to three decimal places as needed.) UI 2 H₁: P₁ P2 OE. Ho: P₁2P2 H₁: P₁ P2 Uri r2 P2 H₁: P₁ OF. Ho: P1 H₁: P₁ P2 P2

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