A new medication is being developed to treat severe morning sickness in pregnant women. The information below was generated from a small sample size (n = 6) and shows the number of times a woman with morning sickness vomited both before and after treatment. Set up and interpret the results of a sign test at the alpha equals .05 level to determine if there is a difference in symptoms before and after treatment. Pregnant Woman Before Treatment After Treatment Difference Sign 1 8 3 5 + 2 4 7 -3 - 3 6 5 1 + 4 8 10 -2 - 5 11 10 1 + 6 8 2 6 + We reject H0 in favor of H1, which states the median difference in the number of vomiting episodes in a day before and after treatment are not equal because 2 is greater than the critical value 0 for a sign test with a population of only 6 individuals. We reject H0 in favor of H1, which states the median difference in the number of vomiting episodes in a day before and after treatment are not equal because 4 is greater than the critical value 0 for a sign test with a population of only 6 individuals. We fail to reject H0, which states the median difference in the number of vomiting episodes in a day before and after treatment are equal because 2 is greater than the critical value 0 for a sign test with a population of only 6 individuals. We fail to reject H0, which states the median difference in the number of vomiting episodes in a day before and after treatment are equal because 4 is greater than the critical value 0 for a sign test with a population of only 6 individuals.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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A new medication is being developed to treat severe morning sickness in pregnant women. The information below was generated from a small sample size (n = 6) and shows the number of times a woman with morning sickness vomited both before and after treatment. Set up and interpret the results of a sign test at the alpha equals .05 level to determine if there is a difference in symptoms before and after treatment.

Pregnant Woman	Before Treatment	After Treatment	Difference	Sign
1	8	3	5	+
2	4	7	-3	-
3	6	5	1	+
4	8	10	-2	-
5	11	10	1	+
6	8	2	6	+

We reject H₀ in favor of H₁, which states the median difference in the number of vomiting episodes in a day before and after treatment are not equal because 2 is greater than the critical value 0 for a sign test with a population of only 6 individuals.
We reject H₀ in favor of H₁, which states the median difference in the number of vomiting episodes in a day before and after treatment are not equal because 4 is greater than the critical value 0 for a sign test with a population of only 6 individuals.
We fail to reject H₀, which states the median difference in the number of vomiting episodes in a day before and after treatment are equal because 2 is greater than the critical value 0 for a sign test with a population of only 6 individuals.
We fail to reject H₀, which states the median difference in the number of vomiting episodes in a day before and after treatment are equal because 4 is greater than the critical value 0 for a sign test with a population of only 6 individuals.

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