1. Suppose a random sample of 400 Gondor citizens was asked if they support the construction of a border wall with Mordor. 260 said, “Yes.” The Steward of Gondor is on record as saying, “More than 60% of our citizens want the wall. We should build the wall.”
(a) At the α = 0.10 significance level is there evidence to support the steward’s claim?
(b) Interpret the P-value in the context of this test.
(c) Explain what a Type I error would mean in the context of this test.
(d) Explain what a Type II error would mean in the context of this test.
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