Question

Problem 1: Rejection Region Problem Two different companies have applied to provide cable television service in a certain region. Let ? denote the proportion of all potential subscribers who favor the first company over the second. Consider testing ?0: ? = 0.5 versus ??: ? ≠ 0.5 based on a random sample of 25 individuals. Let ? denote the number in the sample who favor the first company and ? represent the observed value of ?. Which of the following rejection regions is most appropriate? a) ?1 = {?: ? ≤ 7 or ? ≥ 18} b) ?2 = {?: ? ≤ 8} c) ?3 = {?: ? ≥ 17} d) ?4 = {?: ? ≤ 7 or ? ≤ 10}

Problem 2: Population Mean Hypothesis Testing Problem A sample of 200 people has a mean age of 21 with a population standard deviation (σ) of 5. Test the hypothesis that the population mean is 18.9 at α = 0.05.

Answer 1

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