Two different companies have applied to provide cable televisionservice in a certain
Chapter 8, Problem 9(choose chapter or problem)
Two different companies have applied to provide cable televisionservice in a certain region. Let p denote the proportionof all potential subscribers who favor the first company overthe second. Consider testing versusbased on a random sample of 25 individuals. Let X denote thenumber in the sample who favor the first company and x representthe observed value of X.a. Which of the following rejection regions is most appropriateand why?"b. In the context of this problem situation, describe what thetype I and type II errors are.c. What is the probability distribution of the test statistic Xwhen H0 is true? Use it to compute the probability of atype I error.d. Compute the probability of a type II error for the selectedregion when , again when , and also for bothand .e. Using the selected region, what would you conclude if 6of the 25 queried favored company 1?"
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