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 6628.075 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 6628.075 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 6628.075 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 6628.075 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.   True/False True or False? For a two-tailed test using z values at the .05% significance level we reject H0 if z ≤ -1.960 or if z ≥ 1.960   True or False? Assume a researcher recruits 150 African American and Caucasian individuals taking warfarin to determine if there is a difference in the mean dosage of the medication needed to cause a decrease in their INR blood test. If the mean dosage for 75 Caucasian individuals required to get their INR blood test in range is 6.1 mg with a standard deviation of 1.7 mg and the mean dosage for 75 African American individuals required to get their INR blood test in range is 4.3 mg with a standard deviation of 0.9 mg, the Sp value obtained while calculating the test statistic is approximately 1.10 mg.   True or False? Assume a researcher recruits 150 African American and Caucasian individuals taking warfarin to determine if there is a difference in the mean dosage of the medication needed to cause a decrease in their INR blood test. If the mean dosage for 75 Caucasian individuals required to get their INR blood test in range is 6.1 mg with a standard deviation of 1.7 mg and the mean dosage for 75 African American individuals required to get their INR blood test in range is 4.3 mg with a standard deviation of 0.9 mg, the z value obtained while calculating the test statistic is approximately 9.60. True or False? Assume a researcher recruits 150 African American and Caucasian individuals taking warfarin to determine if there is a difference in the mean dosage of the medication. If the mean dosage for 75 Caucasian individuals required to get their INR blood test in range is 6.1 mg with a standard deviation of 1.7 mg and the mean dosage for 75 African American individuals required to get their INR blood test in range is 4.3 mg with a standard deviation of 0.9 mg, the decision rule for a 10% level of significance would be to reject H0 if z ≤ -1.645 or z ≥ 1.645   True or False? H0 for an ANOVA test often states that all the mean values from the different independent samples are equal.

Question
  1. 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

 

  1. A) We reject H0 because 6628.075 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.

 

  1. B) We reject H0 because 6628.075 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.

 

  1. C) We reject H0 because 6628.075 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.

 

  1. D) We reject H0 because 6628.075 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.

 

True/False

  1. True or False? For a two-tailed test using z values at the .05% significance level we reject H0 if z ≤ -1.960 or if z ≥ 1.960

 

  1. True or False? Assume a researcher recruits 150 African American and Caucasian individuals taking warfarin to determine if there is a difference in the mean dosage of the medication needed to cause a decrease in their INR blood test. If the mean dosage for 75 Caucasian individuals required to get their INR blood test in range is 6.1 mg with a standard deviation of 1.7 mg and the mean dosage for 75 African American individuals required to get their INR blood test in range is 4.3 mg with a standard deviation of 0.9 mg, the Sp value obtained while calculating the test statistic is approximately 1.10 mg.

 

  1. True or False? Assume a researcher recruits 150 African American and Caucasian individuals taking warfarin to determine if there is a difference in the mean dosage of the medication needed to cause a decrease in their INR blood test. If the mean dosage for 75 Caucasian individuals required to get their INR blood test in range is 6.1 mg with a standard deviation of 1.7 mg and the mean dosage for 75 African American individuals required to get their INR blood test in range is 4.3 mg with a standard deviation of 0.9 mg, the z value obtained while calculating the test statistic is approximately 9.60.
  2. True or False? Assume a researcher recruits 150 African American and Caucasian individuals taking warfarin to determine if there is a difference in the mean dosage of the medication. If the mean dosage for 75 Caucasian individuals required to get their INR blood test in range is 6.1 mg with a standard deviation of 1.7 mg and the mean dosage for 75 African American individuals required to get their INR blood test in range is 4.3 mg with a standard deviation of 0.9 mg, the decision rule for a 10% level of significance would be to reject H0 if z ≤ -1.645 or z ≥ 1.645

 

  1. True or False? H0 for an ANOVA test often states that all the mean values from the different independent samples are equal.
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