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Chapters covered: Chapter 9.1, 9.2 Show your work to receive full credit. . Problem 1 A normal 2-test for testing Ho : p = 0.3
Chapters covered: Chapter 9.1, 9.2 Show your work to receive full credit. . Problem 1 A normal 2-test for testing Ho : p = 0.3 against Ha : p 0.3 resulted in a positive test statistic value and a p-value of 0.08. Based on the same sample, we consider another normal z-test with Ho : p = 0.3 against Ha : p > 0.3. Which of the following claims is (are) correct? Explain why. a. The test statistics of the two tests are different. b. We don't have enough information to draw a conclusion of the second test at the significance level of 0.1. c. In the second test, we will reject Ho at significance level 0.05. d. In the second test, We fail to reject Ho at significance level 0.01. . Problem 2 Write down the hypotheses for the test Ho versus H. in the following scenarios. Use p to denote the population proportion. a. A TV network claims that 95% of the audience likes one of its TV series and looks forward to the next season. We want to determine whether the series is less popular than the network claims. b. We wish to know whether or not 50% of STAT 3011 students prefer on-line courses to in-person courses. C. A student wants to investigate whether a dice is unfair in the way that 3 is more likely to occur. . Problem 3 A clothing company wishes to know if the majority of their customers like their Summer 2021 collection. Suppose that they take a random sample of 300 customers and 60% of them say they like the Summer 2021 collection. Does this sample provide evidence that the majority of all customers like the collection? Walk through all 5 elements of a hypothesis test and use a = 0.05. . Problem 4 A training camp claims that 70% of its trainees get more than 80 in a skill test. In order to investigate whether this information is accurate, a group collected a random sample of 100 trainees. 20 trainees said they got lower than 70, 20 trainees said they got between 70 to 80, 30 trainees said they got between 80 to 90, and the rest 30 trainees said they got more than 90. Write down the five steps to perform the hypothesis test at the 0.01 significance level
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