An RCT was designed to test the effectiveness of naltrexone, an opiate receptor antagonist, as a treatment for alcohol dependence. Subjects with chronic severe alcohol dependence were randomly assigned to either 3 months of naltrexone treatment or 3 months of placebo treatment. The number of drinks per drinking day was compared between the two groups. Let μ1= population mean number of drinks per drinking day for those on Naltrexone and μ2= population mean number of drinks per drinking day for those on placebo. The data from the study are summarized in the table below. Naltrexone (n1 = 196) Placebo (n2=195) Mean Number of drinks per drinking day Xbar1=10.5 Xbar2=9.3 Standard Deviation of Number of drinks per drinking day S1 = 80 S2 = 7.0 The investigators want to test whether there is a significant difference between the two groups using a 5% significance level. 1. What is the most appropriate test to address the investigators’ research question? a. Pearson’s Chi-Squared Test b. ANOVA c. Two-sample t-test assuming unequal variances d. Paired t-test e. Two-sample t-test assuming equal variances 2. Write the correct null and alternative hypothesis for the appropriate test 3. Using one of the probability tables provided to you, compute the p-value corresponding to the test statistic value from part (c) as accurately as possible. Which range does the p-value fall in? What is your conclusion for the hypothesis test based on this p-value? a. 0.005 < p < 0.01 b. 0.01 < p < 0.02 c. 0.10 < p < 0.20 d. 0.02 < p < 0.05 e. 0.05 < p < 0.10
An RCT was designed to test the effectiveness of naltrexone, an opiate receptor antagonist, as a treatment for alcohol dependence. Subjects with chronic severe alcohol dependence were randomly assigned to either 3 months of naltrexone treatment or 3 months of placebo treatment. The number of drinks per drinking day was compared between the two groups. Let μ1= population mean number of drinks per drinking day for those on Naltrexone and μ2= population mean number of drinks per drinking day for those on placebo. The data from the study are summarized in the table below. Naltrexone (n1 = 196) Placebo (n2=195) Mean Number of drinks per drinking day Xbar1=10.5 Xbar2=9.3 Standard Deviation of Number of drinks per drinking day S1 = 80 S2 = 7.0 The investigators want to test whether there is a significant difference between the two groups using a 5% significance level. 1. What is the most appropriate test to address the investigators’ research question? a. Pearson’s Chi-Squared Test b. ANOVA c. Two-sample t-test assuming unequal variances d. Paired t-test e. Two-sample t-test assuming equal variances 2. Write the correct null and alternative hypothesis for the appropriate test 3. Using one of the probability tables provided to you, compute the p-value corresponding to the test statistic value from part (c) as accurately as possible. Which range does the p-value fall in? What is your conclusion for the hypothesis test based on this p-value? a. 0.005 < p < 0.01 b. 0.01 < p < 0.02 c. 0.10 < p < 0.20 d. 0.02 < p < 0.05 e. 0.05 < p < 0.10
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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An RCT was designed to test the effectiveness of naltrexone, an opiate receptor antagonist, as a treatment for alcohol dependence. Subjects with chronic severe alcohol dependence were randomly assigned to either 3 months of naltrexone treatment or 3 months of placebo treatment. The number of drinks per drinking day was compared between the two groups. Let μ1= population mean number of drinks per drinking day for those on Naltrexone and μ2= population mean number of drinks per drinking day for those on placebo. The data from the study are summarized in the table below.
| Naltrexone (n1 = 196) |
Placebo (n2=195) |
|
| Mean Number of drinks per drinking day |
Xbar1=10.5 | Xbar2=9.3 |
| Standard Deviation of Number of drinks per drinking day |
S1 = 80 |
S2 = 7.0 |
The investigators want to test whether there is a significant difference between the two groups using a 5% significance level.
1. What is the most appropriate test to address the investigators’ research question?
a. Pearson’s Chi-Squared Test
b. ANOVA
c. Two-sample t-test assuming unequal variances
d. Paired t-test
e. Two-sample t-test assuming equal variances
2. Write the correct null and alternative hypothesis for the appropriate test
3. Using one of the probability tables provided to you, compute the p-value corresponding to the test statistic value from part (c) as accurately as possible. Which range does the p-value fall in? What is your conclusion for the hypothesis test based on this p-value?
a. 0.005 < p < 0.01
b. 0.01 < p < 0.02
c. 0.10 < p < 0.20
d. 0.02 < p < 0.05
e. 0.05 < p < 0.10
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Follow-up Questions
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Follow-up Question
the the 95% confidence interval for the true difference in mean number of drinks per drinking day between those taking Naltrexone and those taking placebo would:
a. Include the estimated difference in the means.
b. Include 0 and the estimated difference in the means.
c. Include 0.
d. Not include 0.
e. Not include 0 and include the estimated difference in the means.
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by Bartleby ExpertFollow-up Question
The 95% confidence interval for the true difference in mean number of drinks per drinking day between those taking Naltrexone and those taking placebo would:
Include the estimated difference in the means.
Include 0 and the estimated difference in the means.
Include 0.
Not include 0.
Not include 0 and include the estimated difference in the means.
Solution
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