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3. A new medication is being developed to treat severe morning sickness in pregnant women. The information below was generated from a small sample size
3. 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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