For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, a is the level of significance, p is the sample proportion, and n is the sample size. If it can be used, test the claim. Claim: p>0.44; a=0.08. Sample statistics: p= 0.48, n = 225 ....... О В. Но р3 Ha p# (Round to two decimal places as needed.) OC. Ho p2 H p< (Round to two decimal places as needed.) O D. Ho p> H ps (Round to two decimal places as needed.) O E. Ho p# Ha p= (Round to two decimal places as needed.) E. Ho: ps 0.44 , Ha: p> 0.44 (Round to two decimal places as needed.) O G. Anormal sampling distribution cannot be used. If a normal sampling distribution can be used, identify the critical value(s) for this test. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. Zo = (Round to two decimal places as needed. Use a comma to separate answers as needed.) O B. A normal sampling distribution cannot be used. Clear all Check answer Yiew an example Get more help-

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**Understanding Hypothesis Testing for Population Proportions**

For the following information, determine whether a normal sampling distribution can be used. Here, \( p \) represents the population proportion, \( \alpha \) is the level of significance, \(\hat{p}\) is the sample proportion, and \( n \) is the sample size. If it can be used, test the claim as follows:

**Given Information:**
- Claim: \( p > 0.44 \)
- Significance Level (\( \alpha \)): 0.08
- Sample Proportion (\(\hat{p}\)): 0.48
- Sample Size (\( n \)): 225

**Options for Hypothesis Testing:**

- **B**: 
  - Null Hypothesis (\( H_0 \)): \( p = \underline{\quad} \)
  - Alternative Hypothesis (\( H_a \)): \( p \neq \underline{\quad} \)
  - Round to two decimal places as needed.

- **C**: 
  - Null Hypothesis (\( H_0 \)): \( p = \underline{\quad} \)
  - Alternative Hypothesis (\( H_a \)): \( p < \underline{\quad} \)
  - Round to two decimal places as needed.

- **D**: 
  - Null Hypothesis (\( H_0 \)): \( p = \underline{\quad} \)
  - Alternative Hypothesis (\( H_a \)): \( p > \underline{\quad} \)
  - Round to two decimal places as needed.

- **E**: 
  - Null Hypothesis (\( H_0 \)): \( p \neq \underline{\quad} \)
  - Alternative Hypothesis (\( H_a \)): \( p = \underline{\quad} \)
  - Round to two decimal places as needed.

- **F**: 
  - Selected Option
  - Null Hypothesis (\( H_0 \)): \( p \leq 0.44 \)
  - Alternative Hypothesis (\( H_a \)): \( p > 0.44 \)
  - Round to two decimal places as needed.

- **G**: 
  - A normal sampling distribution cannot be used.

**Critical Values and Decision Making:**

If a normal sampling distribution can be used, identify the critical value(s) for this test. Select the correct choice:

-
Transcribed Image Text:**Understanding Hypothesis Testing for Population Proportions** For the following information, determine whether a normal sampling distribution can be used. Here, \( p \) represents the population proportion, \( \alpha \) is the level of significance, \(\hat{p}\) is the sample proportion, and \( n \) is the sample size. If it can be used, test the claim as follows: **Given Information:** - Claim: \( p > 0.44 \) - Significance Level (\( \alpha \)): 0.08 - Sample Proportion (\(\hat{p}\)): 0.48 - Sample Size (\( n \)): 225 **Options for Hypothesis Testing:** - **B**: - Null Hypothesis (\( H_0 \)): \( p = \underline{\quad} \) - Alternative Hypothesis (\( H_a \)): \( p \neq \underline{\quad} \) - Round to two decimal places as needed. - **C**: - Null Hypothesis (\( H_0 \)): \( p = \underline{\quad} \) - Alternative Hypothesis (\( H_a \)): \( p < \underline{\quad} \) - Round to two decimal places as needed. - **D**: - Null Hypothesis (\( H_0 \)): \( p = \underline{\quad} \) - Alternative Hypothesis (\( H_a \)): \( p > \underline{\quad} \) - Round to two decimal places as needed. - **E**: - Null Hypothesis (\( H_0 \)): \( p \neq \underline{\quad} \) - Alternative Hypothesis (\( H_a \)): \( p = \underline{\quad} \) - Round to two decimal places as needed. - **F**: - Selected Option - Null Hypothesis (\( H_0 \)): \( p \leq 0.44 \) - Alternative Hypothesis (\( H_a \)): \( p > 0.44 \) - Round to two decimal places as needed. - **G**: - A normal sampling distribution cannot be used. **Critical Values and Decision Making:** If a normal sampling distribution can be used, identify the critical value(s) for this test. Select the correct choice: -
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