c) 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 H₂:0 = 0.90 against the alternative hypothesis H₁:8 = 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 H, and assume y > 14,

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7.STATISTICAL INFERENCE
Question 3 c i)

c)
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: 8 = 0.90 against the alternative hypothesis H₂:0 = 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 H, and assume y > 14,
i) What will be her Type I error and the power of the test.
Transcribed Image Text:c) 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: 8 = 0.90 against the alternative hypothesis H₂:0 = 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 H, and assume y > 14, i) What will be her Type I error and the power of the test.
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