A 2010 survey asked 870 randomly sampled registered voters in California "Do you support? Or do you oppose? Drilling for oil and natural gas off the Coast of California? Or do you not know enough to say?" Below is the distribution of responses, separated based on whether or not the respondent graduated from college (a) What percent of college graduates in this sample do not know enough to have an opinion on drilling for oil and natural gas off the Coast of California? 0% Support Oppose Do not know Total (b) What percent of the non-college graduates in this sample do not know enough to have an opinion on drilling for oil and natural gas off the Coast of California? % (d) Find the positive critical value. College Grad Yes No 150 133 180 130 105 131 435 394 Conduct a hypothesis test to determine if the data provide strong evidence that the proportion of college graduates who do not have an opinio on this issue is different than that of non-college graduates. Test this claim at the 0.05 significance level. (c) Find the test statistic. The standard error is 0.0313844. (e) Find the negative critical value. (f) Find the p-value.

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**Survey Analysis on Drilling Opinions in California**

A 2010 survey sampled 870 registered voters in California, inquiring about their support or opposition to drilling for oil and natural gas off the coast. Participants were asked: "Do you support? Or do you oppose? Drilling for oil and natural gas off the Coast of California? Or do you not know enough to say?" The responses were categorized based on whether or not the respondent graduated from college.

**Response Distribution:**

- **College Graduates**  
  - Support: 150  
  - Oppose: 180  
  - Do not know: 105  
  - Total: 435  

- **Non-College Graduates**  
  - Support: 133  
  - Oppose: 130  
  - Do not know: 131  
  - Total: 394  

**Questions:**

(a) What percent of college graduates in this sample do not know enough to have an opinion on drilling off the Coast of California?  
\[ \text{Percentage: } \boxed{} \]

(b) What percent of non-college graduates in this sample do not know enough to have an opinion on drilling off the Coast of California?  
\[ \text{Percentage: } \boxed{} \]

Conduct a hypothesis test to determine if there is strong evidence that the proportion of college graduates who do not have an opinion differs from that of non-college graduates. Perform this test at the 0.05 significance level.

(c) Find the test statistic. The standard error is 0.0313844.  
\[ \text{Test Statistic: } \boxed{} \]

(d) Find the positive critical value.  
\[ \text{Positive Critical Value: } \boxed{} \]

(e) Find the negative critical value.  
\[ \text{Negative Critical Value: } \boxed{} \]

(f) Find the \( p \)-value.  
\[ p\text{-value: } \boxed{} \]
Transcribed Image Text:**Survey Analysis on Drilling Opinions in California** A 2010 survey sampled 870 registered voters in California, inquiring about their support or opposition to drilling for oil and natural gas off the coast. Participants were asked: "Do you support? Or do you oppose? Drilling for oil and natural gas off the Coast of California? Or do you not know enough to say?" The responses were categorized based on whether or not the respondent graduated from college. **Response Distribution:** - **College Graduates** - Support: 150 - Oppose: 180 - Do not know: 105 - Total: 435 - **Non-College Graduates** - Support: 133 - Oppose: 130 - Do not know: 131 - Total: 394 **Questions:** (a) What percent of college graduates in this sample do not know enough to have an opinion on drilling off the Coast of California? \[ \text{Percentage: } \boxed{} \] (b) What percent of non-college graduates in this sample do not know enough to have an opinion on drilling off the Coast of California? \[ \text{Percentage: } \boxed{} \] Conduct a hypothesis test to determine if there is strong evidence that the proportion of college graduates who do not have an opinion differs from that of non-college graduates. Perform this test at the 0.05 significance level. (c) Find the test statistic. The standard error is 0.0313844. \[ \text{Test Statistic: } \boxed{} \] (d) Find the positive critical value. \[ \text{Positive Critical Value: } \boxed{} \] (e) Find the negative critical value. \[ \text{Negative Critical Value: } \boxed{} \] (f) Find the \( p \)-value. \[ p\text{-value: } \boxed{} \]
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