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.

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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

 

 

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