A new drug to treat psoriasis has been developed and is in clinical testing. Assume that those individuals given the drug are examined before receiving the treatment and then again after receiving the treatment to determine if there was a change in their symptom status. If the initial results showed that 2.0% of individuals entered the study in remission, 77.0% of individuals entered the study with mild symptoms, 16.0% of individuals entered the study with moderate symptoms, and 5.0% entered the study with severe symptoms calculate and interpret a chi-squared test to determine if the drug was effective treating psoriasis given the information below from the final examination.
Remission (No Symptoms of Psoriasis) |
Mild Symptoms of Psoriasis |
Moderate Symptoms of Psoriasis |
Severe Symptoms of Psoriasis |
Total Number of Participants to Receive the Drug |
|
Number of Participants |
380 |
520 |
95 |
5 |
1000 |
a. we reject H0 because 310.075 is greater than 5.99. We have statistically significant evidence at the alpha equals. .05 level to show that the distribution of the severity of psoriasis cases at the end of the clinical trial for the sample is different from the distribution of the severity of psoriasis cases prior to the administration of the drug, suggesting the drug is effective.
b. we reject H0 because 310.075 is greater than 7.81. We have statistically significant evidence at the alpha equals. .05 level to show that the distribution of the severity of psoriasis cases at the end of the clinical trial for the sample is different from the distribution of the severity of psoriasis cases prior to the administration of the drug, suggesting the drug is effective.
c. we reject H0 because 310.075 is greater than 9.49. We have statistically significant evidence at the alpha equals. .05 level to show that the distribution of the severity of psoriasis cases at the end of the clinical trial for the sample is different from the distribution of the severity of psoriasis cases prior to the administration of the drug, suggesting the drug is effective.
d. we reject H0 because 310.075 is greater than 11.07. We have statistically significant evidence at the alpha equals. .05 level to show that the distribution of the severity of psoriasis cases at the end of the clinical trial for the sample is different from the distribution of the severity of psoriasis cases prior to the administration of the drug, suggesting the drug is effective.
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