8. Two different companies (A and B) have applied to provide cable television ser- vice in a certain region. Let p denote the proportion of all potential subscribers who favor the company A over the company B based on a random sample of 25 individuals. Consider the case that company A wants to increase its produc- tion. Let the test statistic X be the number in the sample who favor the first company and x represent the observed value of X and a = 0.05. 8.1. What are the appropriate null and alternative hypotheses? Describe the two types of errors that company A might make. Identify which is a Type I error and which is a Type II error. Which one is more 8.2. serious. If we reject Ho for X > 8, calculate the probability of making type II error for p = 0.75. [Use the table given for exact value] 8.3.

8. Two different companies (A and B) have applied to provide cable television ser- vice in a certain region. Let p denote the proportion of all potential subscribers who favor the company A over the company B based on a random sample of 25 individuals. Consider the case that company A wants to increase its produc- tion. Let the test statistic X be the number in the sample who favor the first company and x represent the observed value of X and a = 0.05. 8.1. What are the appropriate null and alternative hypotheses? Describe the two types of errors that company A might make. Identify which is a Type I error and which is a Type II error. Which one is more 8.2. serious. If we reject Ho for X > 8, calculate the probability of making type II error for p = 0.75. [Use the table given for exact value] 8.3.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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