A researcher wanted to determine which method would help smokers quit. He divided a group of 183 test subjects into three groups. Group 1 would get "the patch", Group 2 would get a medication, and Group 3 would have no intervention. At the end of the study, this is what he found. Group 1 Group 2 Group 3 52 54 51 9 4 Did Not Quit Quit 13 *Source: Harris Poll 1) Determine the null and alternative hypotheses. Select the correct pair. O Ho: The methods for helping people quit smoking are the same Ha: The methods for helping people quit smoking follow a different distribution

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### Smoking Cessation Study Analysis

A researcher conducted a study to evaluate the effectiveness of different methods to help smokers quit. Participants were divided into three groups:

- **Group 1**: Received the "patch"
- **Group 2**: Received a medication
- **Group 3**: No intervention (control group)

At the study's conclusion, the results were as follows:

|        | Group 1 | Group 2 | Group 3 |
|--------|---------|---------|---------|
| Did Not Quit |    52   |    54   |    51   |
| Quit     |    13   |     9   |     4   |

*Source: Harris Poll*

#### Analysis Steps:

1. **Determine the Null and Alternative Hypotheses:**
   Select the correct pair.

   - \( H_0 \): The methods for helping people quit smoking are the same
   - \( H_a \): The methods for helping people quit smoking follow a different distribution

2. **Determine the Test Statistic:**
   Calculate and round your answer to two decimals.
   
   \(\chi^2 = \) [Insert calculation box]

3. **Determine the p-value:**
   Calculate and round your answer to four decimals.

   p-value = [Insert calculation box]

4. **Make a Decision:**
   Assume \(\alpha = 0.05\).

   - \( \circ \) Reject the null hypothesis
   - \( \circ \) Fail to reject the null hypothesis

5. **Pick a Conclusion:**

   - \( \circ \) There is not sufficient evidence to support the claim that the methods for helping people quit smoking are different.
   - \( \circ \) There is sufficient evidence to support the claim that the methods for helping people quit smoking are different.
Transcribed Image Text:### Smoking Cessation Study Analysis A researcher conducted a study to evaluate the effectiveness of different methods to help smokers quit. Participants were divided into three groups: - **Group 1**: Received the "patch" - **Group 2**: Received a medication - **Group 3**: No intervention (control group) At the study's conclusion, the results were as follows: | | Group 1 | Group 2 | Group 3 | |--------|---------|---------|---------| | Did Not Quit | 52 | 54 | 51 | | Quit | 13 | 9 | 4 | *Source: Harris Poll* #### Analysis Steps: 1. **Determine the Null and Alternative Hypotheses:** Select the correct pair. - \( H_0 \): The methods for helping people quit smoking are the same - \( H_a \): The methods for helping people quit smoking follow a different distribution 2. **Determine the Test Statistic:** Calculate and round your answer to two decimals. \(\chi^2 = \) [Insert calculation box] 3. **Determine the p-value:** Calculate and round your answer to four decimals. p-value = [Insert calculation box] 4. **Make a Decision:** Assume \(\alpha = 0.05\). - \( \circ \) Reject the null hypothesis - \( \circ \) Fail to reject the null hypothesis 5. **Pick a Conclusion:** - \( \circ \) There is not sufficient evidence to support the claim that the methods for helping people quit smoking are different. - \( \circ \) There is sufficient evidence to support the claim that the methods for helping people quit smoking are different.
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