A researcher claims that less than 30% of the Ash trees in a
forest are healthy. A random sample of 80 Ash trees is selected and
of those, only 20 are healthy. Use the sample data to test the
researcher’s claim at a significance level of 0.05.
(a) State the claim, null hypothesis, and alternative
hypothesis.
Claim: H0: H1:
(b) What tail is the test? If we find a test statistic of z = −1.12,
find the corresponding P-value and state the conclusion of the
hypothesis test.
Tailed: p−value: Conclusion:
(c) Interpret your conclusion.
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