You Do It

  1. 39.

    1. Yes, the p-value is P(X ≥ 5) ≈ 0.007, which rejects H0 for α = 0.05.

    2. Inspection must produce independent outcomes with constant chance p for finding a defect.

    3. z ≈ 3.5 > 1.645 standard errors above H0. Reject H0 for α = 0.05.

    4. The expected number of events is too small. Use binomial methods.

  2. 41.

    1. H0: p ≤ 0.6 versus Ha: p > 0.6; p is the proportion of markets selling out.

    2. A Type I error implies adding an unnecessary delivery (incorrectly reject H0). A Type II error occurs if we fail to reject H0 when it's false, missing an opportunity.

    3. Approximately P(Z > 2,438) = 0.0074. Yes.

  3. 43.

    1. H0: p ≥ 0.33 versus Ha: p < 0.33; p is the proportion of all visitors who will indicate a willingness to return.

    2. (b) A Type I error implies intervening ...

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