e null and altermative hypothesis would be: • Ho:p 0.7 H:p 0.7 O Ho:p2 0.7 H:p<0.7 O Ho:p 0.7 H:p> 0.7

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**Hypothesis Testing: Proportion of Cat Owners**

**Scenario:**
Test the claim that the proportion of people who own cats is significantly different from 70% at the 0.01 significance level.

**Hypotheses:**

- Null Hypothesis (\(H_0\)): \(p = 0.7\)
- Alternative Hypothesis (\(H_a\)): \(p \neq 0.7\)

**Options for Hypothesis Selection:**

1. \(H_0\): \(p = 0.7\)  
   \(H_a\): \(p \neq 0.7\) ✅
   
2. \(H_0\): \(p \geq 0.7\)  
   \(H_a\): \(p < 0.7\)
   
3. \(H_0\): \(p \leq 0.7\)  
   \(H_a\): \(p > 0.7\)
   
4. \(H_0\): \(\mu \leq 0.7\)  
   \(H_a\): \(\mu > 0.7\)
   
5. \(H_0\): \(\mu \geq 0.7\)  
   \(H_a\): \(\mu < 0.7\)
   
6. \(H_0\): \(\mu = 0.7\)  
   \(H_a\): \(\mu \neq 0.7\)

In this scenario, the selected null and alternative hypotheses focus on testing whether the proportion \(p\) is equal to or different from 0.7. The correct choice is the first option, where \(H_0\) is \(p = 0.7\) and \(H_a\) is \(p \neq 0.7\).
Transcribed Image Text:**Hypothesis Testing: Proportion of Cat Owners** **Scenario:** Test the claim that the proportion of people who own cats is significantly different from 70% at the 0.01 significance level. **Hypotheses:** - Null Hypothesis (\(H_0\)): \(p = 0.7\) - Alternative Hypothesis (\(H_a\)): \(p \neq 0.7\) **Options for Hypothesis Selection:** 1. \(H_0\): \(p = 0.7\) \(H_a\): \(p \neq 0.7\) ✅ 2. \(H_0\): \(p \geq 0.7\) \(H_a\): \(p < 0.7\) 3. \(H_0\): \(p \leq 0.7\) \(H_a\): \(p > 0.7\) 4. \(H_0\): \(\mu \leq 0.7\) \(H_a\): \(\mu > 0.7\) 5. \(H_0\): \(\mu \geq 0.7\) \(H_a\): \(\mu < 0.7\) 6. \(H_0\): \(\mu = 0.7\) \(H_a\): \(\mu \neq 0.7\) In this scenario, the selected null and alternative hypotheses focus on testing whether the proportion \(p\) is equal to or different from 0.7. The correct choice is the first option, where \(H_0\) is \(p = 0.7\) and \(H_a\) is \(p \neq 0.7\).
Based on a sample of 300 people, 65% owned cats.

- The test statistic is: [________] (Round to 2 decimals)
- The p-value is: [________] (Round to 2 decimals)
Transcribed Image Text:Based on a sample of 300 people, 65% owned cats. - The test statistic is: [________] (Round to 2 decimals) - The p-value is: [________] (Round to 2 decimals)
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