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 2 10 7 3 6 5 4 8 10 5 11 10 6 8 2 A) 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 1 is greater than the critical value 0 for a sign test with a population of only 6 individuals. B) 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 5 is greater than the critical value 0 for a sign test with a population of only 6 individuals. C) 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 1 is greater than the critical value 0 for a sign test with a population of only 6 individuals. D) 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 5 is greater than the critical value 0 for a sign test with a population of only 6 individuals.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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
2	10	7
3	6	5
4	8	10
5	11	10
6	8	2

A) 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 1 is greater than the critical value 0 for a sign test with a population of only 6 individuals.
B) 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 5 is greater than the critical value 0 for a sign test with a population of only 6 individuals.
C) 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 1 is greater than the critical value 0 for a sign test with a population of only 6 individuals.
D) 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 5 is greater than the critical value 0 for a sign test with a population of only 6 individuals.

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

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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