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# 410Hw13 - STAT 410 Homework#13(due Friday December 4 by...

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STAT 410 Homework #13 Fall 2009 (due Friday, December 4, by 3:00 p.m.) 1. 8.2.3 Hint: Do NOT look at the answer at the back of the textbook. 2. 5.5.4 3. Alex wants to test whether a coin is fair or not. Suppose he decides to use 25 tosses. Let p denote the probability of obtaining heads. H 0 : p = 0.50 vs. H 1 : p 0.50. a) Find the Rejection Rule with the significance level α closest to 0.05 . b) What is the actual value of the significance level α associated with the Rejection Rule obtained in part (a)? c) Suppose Alex got 9 heads and 16 tails. Find the p-value of the test. d) Suppose Alex got 20 heads and 5 tails. Find the p-value of the test. e) Suppose Alex got 20 heads and 5 tails. State your decision ( Reject H 0 or Do NOT Reject H 0 ) at a 5% level of significance. f) What is the power of this test ( using the Rejection Rule obtained in part (a) ) if p = 0.60 ?

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4. A certain automobile manufacturer claims that at least 80% of its cars meet the tough new standards of the Environmental Protection Agency (EPA). The EPA tests a random
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