P-values and the Significance Level Worksheet with Answer Key

What's on the worksheet

1. Each test is about one proportion p with null value p_0.
   H_a\colon p > p_0,\ z = 1.28H_a\colon p < p_0,\ z = -2.61H_a\colon p \neq p_0,\ z = 1.96H_a\colon p \neq p_0,\ z = -0.47H_a\colon p < p_0,\ z = 1.12
2. Do not compute anything.
   H_a\colon p > 0.40,\ \hat{p} = 0.37H_a\colon p < 0.65,\ \hat{p} = 0.58H_a\colon p \neq 0.10,\ \hat{p} = 0.13H_a\colon p \neq 0.72,\ \hat{p} = 0.66H_a\colon p < 0.25,\ \hat{p} = 0.31
3. A made-up plumbing company has found over many years that 15% of its repair calls need a second visit, usually because the van was missing a part.
4. A made-up hawk-watch station has found over many years that 38% of the red-tailed hawks it bands each autumn are juveniles (in their first year).
5. A made-up beachcombing club says that 10% of the sea glass on its beach is blue.
6. A made-up trading card company says that 20% of its packs contain a holographic card.
7. A made-up pretzel factory has found that 20% of its bags hold five or more broken pretzels.