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In: Statistics and Probability

The decision rule (aka, the rejection region) for testing the following pair of hypotheses at the...

  1. The decision rule (aka, the rejection region) for testing the following pair of hypotheses at the .01 level of significance when a sample size of 45 is taken.

H0: p = .45

Ha: p ≠ .45

  1. P (p̂ < 0.35) where p̂ is approximately normally distributed with p = .33 and n = 100.
  2. Determine the p-value for testing:
  3. H0: µ = 43

    Ha: µ ≠ 43

    when a random sample of size 30 was taken from a normal population whose standard deviation is known and the value of the test statistic equals -1.38.

  4. P (ŷ > 22) where Y has a normal distribution with a mean of 20, a standard deviation of 8, and, when a sample size of 25 was taken.

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