Age-related Macular Degeneration (AMD) is a common eye condition leading to vision loss. It causes damage to the macula, a small spot near the center of the retina (the part of the eye needed for sharp, central vision). Researchers are interested in the experiences of people who have been diagnosed with early-onset AMD. In particular the researchers are interested in whether the mean age at diagnosis of all people with early-onset AMD is less than 55 years. A random sample of 20 people with early-onset AMD gave the following data on age at diagnosis, in years. Patient 1 Age at diagnosis 50 Patient 2 3 4 5 6 78 9 10 58 52 58 49 58 51 61 54 59 11 12 13 14 15 16 17 18 19 20 Age at diagnosis 53 44 46 47 42 56 57 49 41 43 (a) State the null and alternative hypotheses for an appropriate non-parametric test using the correct parameter. (b) Describe an appropriate rejection region to test the claim, and state the distribution of the test statistic. (c) What is the P-value of the test that is closest to 5%?
Age-related Macular Degeneration (AMD) is a common eye condition leading to vision loss. It causes damage to the macula, a small spot near the center of the retina (the part of the eye needed for sharp, central vision). Researchers are interested in the experiences of people who have been diagnosed with early-onset AMD. In particular the researchers are interested in whether the mean age at diagnosis of all people with early-onset AMD is less than 55 years. A random sample of 20 people with early-onset AMD gave the following data on age at diagnosis, in years. Patient 1 Age at diagnosis 50 Patient 2 3 4 5 6 78 9 10 58 52 58 49 58 51 61 54 59 11 12 13 14 15 16 17 18 19 20 Age at diagnosis 53 44 46 47 42 56 57 49 41 43 (a) State the null and alternative hypotheses for an appropriate non-parametric test using the correct parameter. (b) Describe an appropriate rejection region to test the claim, and state the distribution of the test statistic. (c) What is the P-value of the test that is closest to 5%?
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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Transcribed Image Text:Age-related Macular Degeneration (AMD) is a common eye condition leading to vision
loss. It causes damage to the macula, a small spot near the center of the retina (the part
of the eye needed for sharp, central vision). Researchers are interested in the experiences
of people who have been diagnosed with early-onset AMD. In particular the researchers
are interested in whether the mean age at diagnosis of all people with early-onset AMD
is less than 55 years. A random sample of 20 people with early-onset AMD gave the
following data on age at diagnosis, in years.
1 2 3 4 5
Patient
678 9 10
Age at diagnosis 50 58 52 58 49 58 51 61 54 59
Patient
11 12 13 14 15 16 17 18 19 20
Age at diagnosis 53 44 46 47 42 56 57 49 41 43
(a) State the null and alternative hypotheses for an appropriate non-parametric test
using the correct parameter.
(b) Describe an appropriate rejection region to test the claim, and state the distribution
of the test statistic.
(c) What is the P-value of the test that is closest to 5%?
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