ANSWERS

1. a. \(p\)-value \(=0.0427\)
    b. \(p\)-value \(=0.0384\)
    c. \(p\)-value \(=0.0055\)

3. a. \(p\)-value \(=0.0009\)
    b. \(p\)-value \(=0.0064\)
    c. \(p\)-value \(=0.0146\)

5. a. reject \(H_{0}\)
    b. do not reject \(\mathrm{H}_{0}\)

7. a. \(Z=3.23, z_{0.01}=2.33\), reject \(H_{0}\)
    b. \(p\)-value \(=0.0006\)
    c. reject \(\mathrm{H}_{0}\)

9. a. \(Z=0.68, z_{0.05}=1.645\), do not reject \(H_{0}\)
    b. \(p\)-value \(=0.4966\)
    c. do not reject \(H_{0}\)

11. a. \(Z=2.22, z_{0.05}=1.645\), reject \(H_{0}\)
      b. \(p\)-value \(=0.0132\)
      c. reject \(\mathrm{H}_{0}\)