Using the same measure of support for gun control, the researcher is interested in how the importance of religion is related to attitudes about gun control for male Latinx (ML). The researcher constructs a measure of religious importance coded 1 if the respondent said religion is extremely or very important and O if the respondent said religion is not at all important or not very important. The researcher suspects that ML who say religion is unimportant will be more supportive of gun control compared to ML who say religion is important. For this research question, what is the null hypothesis? O GC unimportant GC₂ important 0 GC unimportant GC important 0 GC unimportant GC important > 0 O GC unimportant GC₂ important < 0 O O

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### Research Problem on the Importance of Religion and Gun Control Attitudes

**Context:**
Using the same measure of support for gun control, the researcher is interested in how the importance of religion is related to attitudes about gun control for male Latinx (ML). The researcher constructs a measure of religious importance coded as:
- 1 if the respondent said religion is extremely or very important
- 0 if the respondent said religion is not at all important or not very important

The researcher suspects that ML who say religion is unimportant will be more supportive of gun control compared to ML who say religion is important.

**Research Question:**
For this research question, what is the null hypothesis?

**Null Hypothesis Options:**
1. \( \overline{GC_{unimportant}} - \overline{GC_{important}} \neq 0 \)
2. \( \overline{GC_{unimportant}} - \overline{GC_{important}} = 0 \)
3. \( \overline{GC_{unimportant}} - \overline{GC_{important}} > 0 \)
4. \( \overline{GC_{unimportant}} - \overline{GC_{important}} < 0 \)

**Explanation of Notations:**
- \( \overline{GC_{unimportant}} \): The mean level of support for gun control among those who consider religion unimportant.
- \( \overline{GC_{important}} \): The mean level of support for gun control among those who consider religion important.

**Choice of the Null Hypothesis:**
The null hypothesis (option 2) indicates there is no difference in the support for gun control between those who find religion important and those who do not:
\[ \overline{GC_{unimportant}} - \overline{GC_{important}} = 0 \]
Transcribed Image Text:### Research Problem on the Importance of Religion and Gun Control Attitudes **Context:** Using the same measure of support for gun control, the researcher is interested in how the importance of religion is related to attitudes about gun control for male Latinx (ML). The researcher constructs a measure of religious importance coded as: - 1 if the respondent said religion is extremely or very important - 0 if the respondent said religion is not at all important or not very important The researcher suspects that ML who say religion is unimportant will be more supportive of gun control compared to ML who say religion is important. **Research Question:** For this research question, what is the null hypothesis? **Null Hypothesis Options:** 1. \( \overline{GC_{unimportant}} - \overline{GC_{important}} \neq 0 \) 2. \( \overline{GC_{unimportant}} - \overline{GC_{important}} = 0 \) 3. \( \overline{GC_{unimportant}} - \overline{GC_{important}} > 0 \) 4. \( \overline{GC_{unimportant}} - \overline{GC_{important}} < 0 \) **Explanation of Notations:** - \( \overline{GC_{unimportant}} \): The mean level of support for gun control among those who consider religion unimportant. - \( \overline{GC_{important}} \): The mean level of support for gun control among those who consider religion important. **Choice of the Null Hypothesis:** The null hypothesis (option 2) indicates there is no difference in the support for gun control between those who find religion important and those who do not: \[ \overline{GC_{unimportant}} - \overline{GC_{important}} = 0 \]
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