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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Author:Amos Gilat
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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

+

 

  1. 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.
  2. 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.
  3. 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.
  4. 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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