A study was conducted on the efficacy and safety of varenicline for smoking cessation in people living with HIV. The study was a randomized, double-blind, placebo-controlled trial. Of the 120 subjects treated with va abstained from smoking for the entire 48-week study period. Of the 121 subjects assigned to the placebo group, 8 abstained from smoking for the entire study period. Complete parts (a) and (b). Consider the first sample to be the varenicline group and the second sample to be the placebo group. What are the null and alternative hypotheses for the hypothesis test? O B. Ho P, p2 O C. Ho P1 =P2 O A. Ho P1= P2 Ha P1 P2 Ha P= P2 O E. Ho P1 P2 Identify the test statistic. (Round to two decimal places as needed) Identify the p-value. p-value = (Round to three decimal places as needed.)
A study was conducted on the efficacy and safety of varenicline for smoking cessation in people living with HIV. The study was a randomized, double-blind, placebo-controlled trial. Of the 120 subjects treated with va abstained from smoking for the entire 48-week study period. Of the 121 subjects assigned to the placebo group, 8 abstained from smoking for the entire study period. Complete parts (a) and (b). Consider the first sample to be the varenicline group and the second sample to be the placebo group. What are the null and alternative hypotheses for the hypothesis test? O B. Ho P, p2 O C. Ho P1 =P2 O A. Ho P1= P2 Ha P1 P2 Ha P= P2 O E. Ho P1 P2 Identify the test statistic. (Round to two decimal places as needed) Identify the p-value. p-value = (Round to three decimal places as needed.)
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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![**Study on Varenicline for Smoking Cessation**
A study was conducted to evaluate the efficacy and safety of varenicline for smoking cessation among individuals living with HIV. This was a randomized, double-blind, placebo-controlled trial. Out of 120 subjects treated with varenicline, 16 abstained from smoking for the entire 48-week study period. Among the 121 subjects assigned to the placebo group, 8 abstained for the entire study duration.
**Hypothesis Testing**
Consider the first sample to be the varenicline group and the second sample to be the placebo group. What are the null and alternative hypotheses for the hypothesis test?
- **Option A:**
\( H_0: p_1 = p_2 \)
\( H_a: p_1 < p_2 \)
- **Option B:**
\( H_0: p_1 \neq p_2 \)
\( H_a: p_1 = p_2 \)
- **Option C:**
\( H_0: p_1 = p_2 \)
\( H_a: p_1 \neq p_2 \)
- **Option D:**
\( H_0: p_1 > p_2 \)
\( H_a: p_1 = p_2 \)
- **Option E:**
\( H_0: p_1 < p_2 \)
\( H_a: p_1 = p_2 \)
- **Option F:**
\( H_0: p_1 = p_2 \)
\( H_a: p_1 > p_2 \)
**Identify the Test Statistic**
Calculate the z-value:
\( z = \_\_ \)
(Round to two decimal places as needed.)
**Identify the p-value**
Determine the p-value:
\( \text{p-value} = \_\_ \)
(Round to three decimal places as needed.)
**Conclusion**
Since the p-value is (greater than/less than/equal to) the significance level of \( \alpha = 0.01 \), (accept/reject) the null hypothesis. There is (sufficient/insufficient) evidence to support the claim that the percentage from the varenicline group is (greater than/less than/not different from) the percentage](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdfc1f11b-dd1d-4452-af2e-391c3b670477%2F9455c718-94e7-4699-a972-cf03e1226757%2Fp1btyuj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Study on Varenicline for Smoking Cessation**
A study was conducted to evaluate the efficacy and safety of varenicline for smoking cessation among individuals living with HIV. This was a randomized, double-blind, placebo-controlled trial. Out of 120 subjects treated with varenicline, 16 abstained from smoking for the entire 48-week study period. Among the 121 subjects assigned to the placebo group, 8 abstained for the entire study duration.
**Hypothesis Testing**
Consider the first sample to be the varenicline group and the second sample to be the placebo group. What are the null and alternative hypotheses for the hypothesis test?
- **Option A:**
\( H_0: p_1 = p_2 \)
\( H_a: p_1 < p_2 \)
- **Option B:**
\( H_0: p_1 \neq p_2 \)
\( H_a: p_1 = p_2 \)
- **Option C:**
\( H_0: p_1 = p_2 \)
\( H_a: p_1 \neq p_2 \)
- **Option D:**
\( H_0: p_1 > p_2 \)
\( H_a: p_1 = p_2 \)
- **Option E:**
\( H_0: p_1 < p_2 \)
\( H_a: p_1 = p_2 \)
- **Option F:**
\( H_0: p_1 = p_2 \)
\( H_a: p_1 > p_2 \)
**Identify the Test Statistic**
Calculate the z-value:
\( z = \_\_ \)
(Round to two decimal places as needed.)
**Identify the p-value**
Determine the p-value:
\( \text{p-value} = \_\_ \)
(Round to three decimal places as needed.)
**Conclusion**
Since the p-value is (greater than/less than/equal to) the significance level of \( \alpha = 0.01 \), (accept/reject) the null hypothesis. There is (sufficient/insufficient) evidence to support the claim that the percentage from the varenicline group is (greater than/less than/not different from) the percentage
![A study was conducted on the efficacy and safety of varenicline for smoking cessation in people living with HIV. The study was a randomized, double-blind, placebo-controlled trial. Of the 120 subjects treated with varenicline, 16 abstained from smoking for the entire 48-week study period. Of the 121 subjects assigned to the placebo group, 8 abstained from smoking for the entire study period. Complete parts (a) and (b).
a. Find the sample percentage of subjects in each group who abstained from smoking for the entire study period.
The sample percentage of subjects treated with varenicline who abstained from smoking for the entire 48-week study period is [ ]%. The sample percentage of subjects in the placebo group who abstained from smoking for the entire 48-week study period is [ ]%.
(Round to two decimal places as needed.)
b. Determine whether varenicline is effective in reducing smoking among HIV patients. Note that this means we should test if the proportion of the varenicline group who abstained from smoking for the entire study period is significantly greater than that of the placebo group. Use a significance level of 0.01.
Consider the first sample to be the varenicline group and the second sample to be the placebo group. What are the null and alternative hypotheses for the hypothesis test?
- A. \( H_0: p_1 = p_2 \)
\( H_a: p_1 < p_2 \)
- B. \( H_0: p_1 \neq p_2 \)
\( H_a: p_1 = p_2 \)
- C. \( H_0: p_1 = p_2 \)
\( H_a: p_1 \neq p_2 \)
- D. \( H_0: p_1 > p_2 \)
\( H_a: p_1 = p_2 \)
- E. \( H_0: p_1 < p_2 \)
\( H_a: p_1 = p_2 \)
- F. \( H_0: p_1 = p_2 \)
\( H_a: p_1 > p_2 \)
Identify the test statistic:
z = [ ]
(Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdfc1f11b-dd1d-4452-af2e-391c3b670477%2F9455c718-94e7-4699-a972-cf03e1226757%2Fxqcg2wk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A study was conducted on the efficacy and safety of varenicline for smoking cessation in people living with HIV. The study was a randomized, double-blind, placebo-controlled trial. Of the 120 subjects treated with varenicline, 16 abstained from smoking for the entire 48-week study period. Of the 121 subjects assigned to the placebo group, 8 abstained from smoking for the entire study period. Complete parts (a) and (b).
a. Find the sample percentage of subjects in each group who abstained from smoking for the entire study period.
The sample percentage of subjects treated with varenicline who abstained from smoking for the entire 48-week study period is [ ]%. The sample percentage of subjects in the placebo group who abstained from smoking for the entire 48-week study period is [ ]%.
(Round to two decimal places as needed.)
b. Determine whether varenicline is effective in reducing smoking among HIV patients. Note that this means we should test if the proportion of the varenicline group who abstained from smoking for the entire study period is significantly greater than that of the placebo group. Use a significance level of 0.01.
Consider the first sample to be the varenicline group and the second sample to be the placebo group. What are the null and alternative hypotheses for the hypothesis test?
- A. \( H_0: p_1 = p_2 \)
\( H_a: p_1 < p_2 \)
- B. \( H_0: p_1 \neq p_2 \)
\( H_a: p_1 = p_2 \)
- C. \( H_0: p_1 = p_2 \)
\( H_a: p_1 \neq p_2 \)
- D. \( H_0: p_1 > p_2 \)
\( H_a: p_1 = p_2 \)
- E. \( H_0: p_1 < p_2 \)
\( H_a: p_1 = p_2 \)
- F. \( H_0: p_1 = p_2 \)
\( H_a: p_1 > p_2 \)
Identify the test statistic:
z = [ ]
(Round to two decimal places as needed.)
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