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d) Suppose that the results of carrying out the hypothesis test lead to non-rejection of the null hypothesis. Classify that conclusion by error type or as a correct decision if in fact the mean age at diagnosis of all people with early-onset dementia is less than 55 years old. Suppose that the manufacturer of a new COVID-19 vaccine in South Africa wants to test the null hypothesis Ho: 0 = 0.90 against the alternative hypothesis H₁: 0 = 0.60. She defined her

d) Suppose that the results of carrying out the hypothesis test lead to non-rejection of the null hypothesis. Classify that conclusion by error type or as a correct decision if in fact the mean age at diagnosis of all people with early-onset dementia is less than 55 years old. Suppose that the manufacturer of a new COVID-19 vaccine in South Africa wants to test the null hypothesis Ho: 0 = 0.90 against the alternative hypothesis H₁: 0 = 0.60. She defined her

A First Course in Probability (10th Edition)
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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nt 5 Paragraph 5 d) Suppose that the results of carrying out the hypothesis test lead to non-rejection of the null hypothesis. Classify that conclusion by error type or as a correct decision if in fact the mean age at diagnosis of all people with early-onset dementia is less than 55 years old. Suppose that the manufacturer of a new COVID-19 vaccine in South Africa wants to test the null hypothesis Ho: 0 0.90 against the alternative hypothesis H₁: 0 = 0.60. She defined her test statistic Y as a number of patients recovered from COVID-19 after an observed twenty trials. - If she decided to accept Ho and assume y> 14 i) What will be her Type I error and the power of the test. GLISH (SOUTH AFRICA) ii) Explain how the probability of Type Il error can be reduced in this case and how it will affect Type I error. Give a practical example. e) A South African manufacturer of BMW cars offers a model in one of three colors: Blue, Red, or Black. In his report, the manufacturer indicated that of the first 1000 cars sold, 400 were of color Blue. With this information from the manufacturer, perform a test at a = 1% and conclude whether or not the customers do have more preference for BMW cars which have Blue color? man Styles a HAIM WWW wi 20°C 64 E
Transcribed Image Text:nt 5 Paragraph 5 d) Suppose that the results of carrying out the hypothesis test lead to non-rejection of the null hypothesis. Classify that conclusion by error type or as a correct decision if in fact the mean age at diagnosis of all people with early-onset dementia is less than 55 years old. Suppose that the manufacturer of a new COVID-19 vaccine in South Africa wants to test the null hypothesis Ho: 0 0.90 against the alternative hypothesis H₁: 0 = 0.60. She defined her test statistic Y as a number of patients recovered from COVID-19 after an observed twenty trials. - If she decided to accept Ho and assume y> 14 i) What will be her Type I error and the power of the test. GLISH (SOUTH AFRICA) ii) Explain how the probability of Type Il error can be reduced in this case and how it will affect Type I error. Give a practical example. e) A South African manufacturer of BMW cars offers a model in one of three colors: Blue, Red, or Black. In his report, the manufacturer indicated that of the first 1000 cars sold, 400 were of color Blue. With this information from the manufacturer, perform a test at a = 1% and conclude whether or not the customers do have more preference for BMW cars which have Blue color? man Styles a HAIM WWW wi 20°C 64 E
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